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I am opening a series of MacDondald’s hamburger shoppes, and wish to place them so they are readily available to the public. I hired a company to measure the times it takes for people to get from major points throughout the city to other points, and they gave me the time map below. Thus from the map I see that it would take a customer 5 minutes to get from H to I. Regardless of costs, I must have a shoppe no farther away than 15 minutes travel time FROM the customer TO the shoppe. I don’t care how long it takes them to get home. To build a shoppe at some of the locations will be more expensive than others because of land costs. Costs, in thousands, to build are: A = B = C = I = $200,000. D = F = H = $500,000, G = $800,000, E = $1,200,000. Set up the LP solution to determine where to build the shoppes.

Use Excel to determine the optimum depth at which to place a square un-reinforced concrete footing. The size of the footing is b x b and it is b/2 thick such that minimal steel reinforcing is required. The concrete weighs 150 lbf/ft³, costs $2.00 per ft³ in place, and has an allowed compressive stress of 1.1 kip/in². A square concrete column c x c will be used to reach the footing if you choose to sink the footing below the ground. Please round the column size c to an even 2 inches. You must include the column load, the weight of the footing, the weight of the column, and the weight of the backfill in your stress calculations. The soil weighs 120 lbf/ft³. A soils report from Coyle, Thompson and Bartoskowitz indicates that the soil has a safe bearing stress of 3 kips/ft² on the surface, and that its strength increases by 0.5 kip/ft² for every foot below the surface – i.e. at 20 feet below the surface the strength of the soil would be given by:

Total bearing capacity = 3 kip/ft² + 0.5 kip/ft³ * 20 ft = 13 kip/ft²

The cost to excavate the hole increases with the square of the excavation depth due to shoring requirements, according to the formula:

Digging costs = $0.60/ft³ + $0.02/ft³ per foot² * (d feet)²

where d = the depth to the bottom of the footing. For example, the unit cost to dig a hole to a depth of 20 feet would cost you:

Unit digging cost = $0.60/ft³ + $0.02/ft³ per foot² * (20 ft)² = $8.60 per cubic foot.

There is also a cost associated with replacing the soil back into the hole on top of the footing and tamping it down around the column, after the footing and column have been poured. This cost is:

Cost to fill and tamp = $0.20/ft³

There is no penalty for depth when backfilling and tamping.

For a column load of P = 600 kips, determine the optimum depth at which the footing should be placed in order to minimize the cost of the 1000 footings which will be used. No formal engineering report is required for this assignment, nor any plots.

Hint: On Excel, if you look under “Tools” you will find a “Solver” which will let you optimize functions.

To get the cost of the footing at any depth d:

1. Set the footing depth d in your spreadsheet to any single desired value

2. Click on: Tools, Solver

3. “Set target cell”: (click on cell where footing “total cost” resides)

4. “Equal to”: click on minimize button

5. “By changing cells”: (click on cell where footing size “b” resides)

6. “Subject to the constraints”: (click on the cell where the actual soil stress is calculated) = (then click on cell where allowed soil stress has been calculated)

7. Solve.

This would let you check your hand solution.

Note that here you are actually lying. You don’t really want him to minimize anything. It’s just a trick to force him to set the actual stress equal to the allowed stress, and solve for the required value of b. You could just as easily put a “2” in cell A1, and tell him to minimize that.

To get the minimum possible cost at ANY depth:

1. Use the exact same steps as listed above, except let him tinker with both the footing depth “d” and the base dimension “b.” Here you set: “By changing cells”: (cell where footing depth “d” resides):(cell where footing size “b” resides), i.e. cells “depth” and “size”.

Here you are letting him tinker with both the depth and the footing size, and in this case he will be able to minimize the total cost for you.

Note that the hand solution you worked out for the previous homework will suffice, and need not be handed in again.  No formal engineering report is required, but you must include a clear and concise solution for the problem. Your solution should include the optimum depth you find. Submit a hard copy only. Do not email this solution.

Print out this linear programming guide and bring it with you to class

Learning Objectives

The student should be able to

• Set up basic linear programming problems, for use in optimization.
• Set up and solve a basic water supply optimization problem using linear programming

Steps in Linear Programming

1) Ask yourself the question: What might I do? Over what parameters of this problem do I have control?

• I might find it is in my best economic interest (fiiimbei) to make some nails
• I might fiiimbei to make some screws
• I might fiiimbei to make some hammers
• I might fiiimbei to make some glue pots

 

• I might fiiimbei to make some nails in January using my employees during normal working time
• I might fiiimbei to make some nails in January using my employees during overtime
• I might fiiimbei to take some nails from January’s production and store them for later use
• I might fiiimbei to sell some 1 bedroom apartments
• I might fiiimbei to sell some 2 bedroom apartments
• I might fiiimbei to sell some 3 bedroom apartments
• I might fiiimbei to get some water from the river
• I might fiiimbei to get some water from the wells
• I might fiiimbei to go down one of many roads AB
• I might fiiimbei to go down one of many roads AC
• I might fiiimbei to go down one of many roads AG

Note that it is extremely important that you not say: I think I might find it is in my best economic interest to sell 23 3-bedroom apartments. That is the computer’s job to tell you the answer. You MUST only say you think it is in your best economic interest to sell SOME 3-bedroom apartments. The answer to this question becomes the variable in your solution.

2) Realize that each of these things you might do is a variable, and give that variable a name:

• N = number of nails I fiiimbei to make.
• S = number of screws I fiiimbei to make
• H = number of hammers I fiiimbei to make
• G = number of gluepots I fiiimbei to make
• NJN = number of nails I fiiimbei to make in January during normal working hours (from 8-5).
• NJO = number of nails I fiiimbei to make in January during overtime (after 5 pm).
• NJS = number of nails I fiiimbei to remove from the January production and store until later.
• B1 = number of one bedroom apartments to sell.
• B2 = number of two bedroom apartments to sell.
• B3 = number of three bedroom apartments to sell.
• R = number of gallons of water to suck from the river each day
• W = number of gallons of water to suck from the wells each day
• AB = Should I travel down road AB (= 1 or 0, meaning yes or no, travel down this road as opposed to traveling down a different road.)
• AC = Should I travel down road AC (= 1 or 0, meaning yes or no, travel down this road as opposed to traveling down a different road.)
• AG = Should I travel down road AG (= 1 or 0, meaning yes or no, travel down this road as opposed to traveling down a different road.)

Note that all variable names must start with a letter, and must include no blanks.

3) Determine, for each of the things you MIGHT do, what type of answer should result for each of the variables.

For example, looking at the variables above, the variables N, S, H, G, NJ, NJN, NJO, and NJS could take on floating point answers and that would be acceptable. If the computer told me that it was in my best economic interest to make NJO = 1,234,567.86 nails in January using my labor force after 5:00 pm (overtime), I could actually make 1,234,568 nails and the difference between the computer’s answer and what I did would not significantly influence my profit.

On the other hand, some things like B1, B2, and B3 must be forced to take on integer results. If the computer told me to make 23.22 one-bedroom apartments, 42.76 two-bedroom apartments, and 14.53 three-bedroom apartments, I am in trouble, since I cannot sell 0.22 of an apartment, and you cannot just round the numbers and get the best solution. Surprisingly, the answer for this problem may well be 20 one-bedroom, 35 two-bedroom and 51 three-bedroom apartments, when the variables are constrained to integer results, which is greatly different from simply taking the closest integer from the non-integer solution listed above. MOR/LP will constrain your variable answers to integers if you tell it to.

R and W will probably be floating point – i.e. 34,884.345 gallons/hour from the river and 45,232.445 gallons/hour from the wells would be acceptable answers.

The answers for AB, AC and AG must be binary (0/1) since they answer a yes/no question: Is it in my best economic interest to travel down road AB (Yes or No.) MOR/LP will constrain your variable answers to 0/1 (binary yes/no) if requested.

4) Write a bill or a profit statement. Basically, what is desired by this problem? What is your TRUE objective?

Write a detailed bill (known as Z, the Objective Function since it is a function, or equation, and it defines your objective) for how much the job will cost, or how much profit you expect to make, depending on how much everything costs. For example, if water from the river costs $2.00 per 1000 gallons, and $2.80 per 1000 gallons if taken from the wells, your bill would read:

Z = 2R + 2.8W

and since it is your job to minimize that function, you write:

Min Z = 2R + 2.8W

Likewise, the profit to be made from the apartments might result in your desire to maximize the following objective function:

Max Z = 2800B1 + 3850B2 + 4960B3

Determining the quickest way to get from point A in town to point Z across town then might result in an objective function of:

Min Z = 3.8AB + 4.2AC + 1.7AG + 3.1BC + 9.2BG + 6.3BZ + etc.

Regardless, you will find it far simpler to generate your MIN/MAX statement using the following procedure:

1) Blindly write down a list of all of your variables.  Include them all:

VARIABLEab +         VARIABLEac +         VARIABLEad +        …         +              VARIABLEzz

2) Add MIN Z =  or MAX Z in front, depending on what you are trying to do, and multiply each variable times its unit cost or profit:

MIN Z =  COSTab*VARIABLEab + COSTac*VARIABLEac + COSTad*VARIABLEad + …  + COSTzz*VARIABLEzz

or

MAX Z =  PROFITab*VARIABLEab + PROFITac*VARIABLEac + PROFITad*VARIABLEad + …  + PROFITzz*VARIABLEzz

In other words simply list all of your variables in a MAX/MIN statement, one at a time, then go back in and precede them by their unit costs or profits.  This will give you the final total bill or profit that will result no matter what the final answer for each variable turns out to be.

5) List any constraints or requirements specified by the contract or governing agency. These constraints are known as “Subject To’s” in linear programming. What conditions MUST be satisfied for the solution you derive to be acceptable. What conditions SHOULD be satisfied for the solution you derive to be acceptable? What conditions WOULD BE NICE to be satisfied for the solution you derive to be acceptable?

So, if there are only 4000 gallons per day available from the wells, and only 8000 gpd from the river, and if you had already agreed to buy no less than 1000 gpd from the well owners, you would add the following STs:

ST    W < = 4000
R < = 8000
W > = 1000

6) Draw a sketch of the problem. Label all the variables, costs, constraints on this sketch.

7) Note that these problems cannot be solved using Engineering Equation Solver. They are best solved using MOR or some other LP program. They can be solved using Excel, but MOR is better.  Also, hand solutions to LP problems are not really feasible.  You just have to check the computer solution as best you can and be careful.

Some books have a misprint on the values on part (b) – some have $800 rather than $8000. Please correct this to $8000 on problem 5b only

1) A Cash Flow Diagram refers to cash flowing in or out of the company’s pocket. Thus if the company borrows money from a bank (the lender) it goes into the company’s pocket (+) and if they pay out money by either paying off some of the principal or paying some interest, it comes out of the company’s pocket (-).

The loan can reflect whatever you and I agree to, but if we agree that it is a simple annual interest loan, you are agreeing to pay me only the interest owed for the money you borrowed during the previous compounding period, at the end of the year (compounding period). Thus he is saying that you have agreed to pay me any and all interest due at the end of each year. Further, you can pay down the loan (pay off some of the principal) should you wish to do so, which according to the problem, you intend to do.

If not stated otherwise, the interest accrued at the end of each compounding period will be paid to the lender at the end of each compounding period. This is called “simple interest”, or “simple annual interest” if the compounding period is one year. I.e. you simply give me the interest you owe me at the end of each compounding period, and make no payment on the principal. This is also known as an “interest only” loan. Thus after the end of each compounding period, you still owe me the same principal as at the beginning of the compounding period with no reduction in principal.

“Compound interest” is where you fail to pay me the interest earned at the end of each compounding period, and the interest “compounds.” In this case you start paying interest on interest during the life of the loan.

The amount of interest added at the end of the compounding period is calculated by multiplying how much money was borrowed at the beginning of the compounding period (often, but not necessarily, a year) times the interest rate per compounding period (usually, but not always, a month or a year).

NOTE

Because the world has just been turned upside down, new homework submission procedures are now in effect.  Class times will remain the same and will be held on Zoom at the Meeting Room 969 311 1276.  As I understand it, you can connect directly to our class by clicking on

Https://TAMU.Zoom.US/j/9693111276

322 Quiz B has been moved to our regularly scheduled class time on    Zoom ID 969 311 1276    on April 13th.  I think you can sign on immediately by clicking: https://tamu.zoom.us/j/9693111276

Format for 322 Quiz B and future quizzes:
You will log on to Zoom early, turn OFF your mike and turn ON your camera, kick any dogs or noisy kids out of the room, and I will share a quiz with you perhaps similar to one of these old exams.  If you don’t have a camera with a mike you might as well go get one from Wal-Mart or Best Buy since you will certainly be using it in your classes from now on the way things are going. We will then watch you work the quiz and when finished, at the end of our regularly scheduled class, write on it that you have received no outside help and sign it at the bottom.    Photograph it, make sure that you (and the graders) can read it clearly, and submit it to your email it to your eCampus account.  Do NOT email it to the graders or me.  We have no way of getting it into your account for grading,

The quiz will start at 11:20 am and end at 12:30 pm.  That should give you a little extra time to adapt to the brave new world we now find ourselves in.  Submissions posted past 12:30 pm will be considered late.

Note that you MUST use a very soft pencil lead or a dark pen on your quiz, or it will probably not photograph where it can be read, in which case you will probably be taking a make-up.

What is legal for your use on Quiz B:

1) The Old 322 Solutions posted here.  The solution to Quiz A for this semester is posted at the very bottom of these old exams.

2) A one page two-sided list of equations and procedures written by you without any worked out examples of any kind.

3) The 322 F.E. Exam Reference Manual (Click here for a copy).

What will be covered on 322 Quiz B:

4) Engineering economics and Linear programing.  I never give percentages on these since no matter what I say, I later get complaints that I misled you.  Sorry.

What will not be covered on the exam:

5) Taxes, depreciation, EES, Excel, LP graphical solutions.  Note that the old quizzes cover everything in sight, but if you see something that you know we haven’t discussed, we probably decided to cover it that semester, but not this semester.  Those of you who never showed up on Zoom will probably assume that nothing will be covered on LP.  That would be wrong.

How you should study for 322 Quiz B:

6) Study your engineering economics materials, a bunch of the old exams, including the solution to this semester’s Quiz A listed in (1) above.  The solution for Quiz A is also posted here.  My apologies for not finding a way you could pick up your Quiz A, but still see no way until they let us back into the building.  When things settle down I will try and get the graders to copy and email them to you, but may just have to wait until you come back here and pick them up.

7) What am I forgetting?

Problem due dates, not rigidly enforced but just to get some kind of order to the madness we are all facing.  Solutions for the problems due are listed below.  See further down the syllabus for the actual problem. DO NOT look at them until you pretty well understand how to solve them.

1) You have no doubt already worked all the engineering economics problems since the only ones I was waiting to return when the virus hit are a few in the return envelope in my office.  I have no idea how to get those back to you without endangering those of you on campus, nor even less what to do for those of you sheltering in Houston and out of state.

The first one to come by and get them is safe since they have been untouched for over 14 days and the virus only survives about 5 days on paper.   But the next student to come by would be fair game for death.

2) I was  hoping that they would get the problems with using the virtual server and EES resolved so you could solve the roof piping problem and the footing problem.  That hasn’t happened and is probably not possible under the stress the computer jocks are facing that are more important than one tiny part of one course.  Thus let me just say that in the coming semesters, and in the real world, that program is an absolute killer.  It is so simple and so powerful that you should look it over.

3) I was hoping to make sure you could work any of the linear programming problems using MOR well before the due dates listed, and let you email as many as you can to your grader as mentioned to Johnell below.  Ones that you definitely should be able to work as of today (3/27/20) include your resume (not an LP problem), and web problems 5.0, 5.1, 5.2, 5.3 so let’s put a due date on them of 4/1/20 next Wednesday.  Note – listed here are just the solutions.  The problem statements are on the dated syllabus below.

4) The next set, 5.5, 5.6, 5.10, 5.13, 5.16 are same as we worked in class so far so due kinda on 4/6/20.

5) The next set we will leave out things that are pretty much duplications and finish up with 5.18a, 5.18b  5.21, 5.33, 5.62,  5.64, 5.65, due 4/10/2020

6)

From: Johnell
Sent: Monday, March 16, 2020 1:44 PM
To: Lee Lowery <lowery@tamu.edu>
Subject: Homework

Howdy Dr. Lowery,

There were a few assignments that I was unable to hand in before Spring Break, but I planned on handing them in as soon as I could. Given the current situation, is there anyway that I can hand in these assignments and still receive credit? Please let me know. Also, I am currently in Italy and the busses are all being used for shipping medical aid and supplies to the US, so I am unable to go to campus until some of them return with money.

Thank you,

Johnell

Johnell:

 Not a problem.  Not much will be counted late under what we have all been through this semester.  Just email photos of your work to your grader at the email listed for them on the syllabus.  You must list as the Subject:  Class: (322 or 345), the Problem number: (My Resume, or HW3.7, or Team 4 Part 3, or whatever it is), and your student ID (007-00-007 or whatever).  Any work submitted which is not clearly photo legible (just look at it yourself before you email it) or if the graders are unable to tell what problem is being submitted, will be forwarded to me for excoriation.

L^3

 

 

You can email your grader if you think some homework got missing or to discuss a problem with homework grading.  General questions regarding why your way of solving the problem got the wrong answer should go to the TA’s above.

 

CVEN 322 – Section 500
CIVIL ENGINEERING SYSTEMS
Course Syllabus – Spring 2020a (CRN 15301)
MWF 11:30 am to 12:20 pm – HEB 110
Help for CVEN 322 is available from the people shown below, at the office hours listed only.
PLEASE NOTE: The homework problems and assignments are under constant revision during the semester. Please check the syllabus frequently for changes.

The following graduate students are employed to help with grading in this class and answer CVEN 322 questions.  Please see them during their office hours listed below.

Graders and office hours over Zoom at those hours

MW: 12 to 3:30 pm and  TR: 1:30 to 4:00 pm

 Our Textbook – Any of the following:

First Edition U.S. Preferred 2nd edition

Or Second Edition U.S. Preferred 2nd edition

Or Second Edition International

Textbook:

The textbook is excellent, but over the years I have developed class notes which might enable you to do without a book. At over $100, I am willing to try anything.  Only the economics part of this course requires some kind of a formal text, and any old used engineering economics textbook will work fine in my section. The text for this class, should you choose to buy it is: Civil and Environmental Systems Engineering, by Charles S. Revelle, Earl Whitlach, and Jeff Wright; Prentice-Hall.  Either the first or second edition will work fine.  I understand that using two editions can cause some confusion, but being able to use an inexpensive previous edition which has the needed content is probably worth it.

ISBN 0131386786 (First Edition)	ISBN 0130478229 (Second Edition)
Texas A&M University Bookstore  Fill in the Department, Course, and section number	Texas A&M University Bookstore  Fill in the Department, Course, and section number
Campusi	Campusi
Amazon.com   (1.50 + shipping)	Amazon.com
Www.campusbooks4less.com,	Www.campusbooks4less.com
Abebooks.com Abebooks.com paperback	Abebooks.com has some inexpensive international editions
Allbookstores.com	Allbookstores.com

Bookstore or Internet?

Catalog Description:

Civil Engineering Systems (3-0) Credit 3. I, II, S. Application of systems analysis to civil engineering design, systems synthesis and optimization techniques. Economic analysis and evaluation of engineering projects. Assignments apply engineering economics, statistical theory and optimization techniques to civil engineering problems.

Course Objectives:

• To introduce the student to the principles of engineering economics and economic evaluation techniques.
• To introduce the student to engineering optimization models, including Excel, EES, and Linear Programming, which are useful in engineering applications.
• To introduce the student to engineering system simulation methods using computer aided block oriented system simulation.
• To demonstrate how system simulation, optimization techniques, and engineering economics are used for decision support in civil engineering applications.

Learning Outcomes

• (a) Ability to apply knowledge of basic mathematics, science, and engineering.
• (b) Ability to analyze and interpret data.
• (c) Ability to design a civil and/or ocean engineering system to meet desired needs.
• (e) Ability to formulate and solve civil and/or ocean engineering problems.
• (l) Ability to use computers to solve civil and/or ocean engineering problems.
• (m) Ability to apply probability, simulation, and economics to civil/ocean engineering decisions.

Course Prerequisites:

To take CVEN 322, you MUST be enrolled in or have received a passing grade (no D’s, F’s or I’s) in STAT 211 (statistics) and CVEN 302, or equivalent courses.

Course Assessment:

• Graded major exams (Quiz A, Quiz B, Final Exam = 3 @ 30% each)
• Graded homework assignments, Readiness Assessment Tests (RATs, or Pop Quizzes), and Team Assignments = 10%
• Deductions in final grade may be made as specified in Grading below.
• All homework and quizzes may be graded using Beason’s Qualitative Grading Rubric, or on a standard points basis.

Resources available to the student:

• Instructor of record: Dr. Lee L. Lowery, Jr.
• Teaching associate listed above
• CE 322 Files and Grades <—- CLICK HERE FIRST
• List of homework problems assigned during the semester until your texts come in.
  
• Use of eCampus in this class
• Computer software (Excel, EES, MOR, LP, BOSS)
• EES (Engineering Equation Solver)  What it is, how to get it, video example on using it, user’s manual, short tutorial 
• Virtual Application Environment – can run EES from here regardless of where you are.
• Computers in the Civil Engineering Computer Labs – on 2nd floor of CVLB.  Can also run EES from here.
• Old 322 exams, including this semester’s, after the exams are returned
• Chances of making what grade in Lowery’s 322 class after Quiz A, and after Quiz B
• This semester’s Lectures and Notes (2020a Spring) (will be put on  the web after each class. Please email me if I forget to add them within a couple of days.
• Make-up exams
• Access to the Civil Engineering Apps Server (I’m not sure they still run this.)
• Q-Drop deadline information and here Check date on University Academic Calendar here
• Student Use of the Homework Solution Manual at my office or the Tutor’s
• HELP DESK HOURS – Spring 2020:  
• Typical point deductions you can expect on exams and pop quizzes
• Seating chart
• MOR – Micro Operations Research – Linear programming and Engineering Simulation programs
• DOSBOX – How to get it and run it
• DOSBOX
  • What it is, why it’s so valuable, by a top engineer with Vulcan Pile Driving Hammers
• University Academic Calendar Spring 2020 and many others.  https://registrar.tamu.edu/Catalogs,-Policies-Procedures/Academic-Calendar   Be sure you are on the correct year/semester.
• Final exam schedule for this and other classes (for Spring 2020 only!)
• Zachry Building Room Map
• Fundamentals of Engineering Exam Reference Manual for 322
• To run ZOOM

The correct time (to the nanosecond)

PLEASE READ THE FOLLOWING SYLLABUS INFORMATION:

• Homework
• General Information Regarding Format for Exams, Quizzes, and Homework
• Where to get help for 322
• Grading – All homework and quizzes may be graded using Beason’s Qualitative Grading Rubric. 
• Major exams
• Make-up exams
• More than 2 finals on one day
• Attendance
• Academic Dishonesty Policy
• Answers to all questions after administration of final exams
• And finally, click here!

---

Each day before you come to class you should look on the list below to see what we HOPE to cover that day and bring a copy of it to class with you. Please don’t come to class without a copy of things that say “Print out the following page .”  Please take this course requirement seriously.  It will save you tons of copying stuff down.  I admit that we probably have little to no hope of keeping up with that schedule, but still, that way you will have a lot of next week’s (or next month’s) class content in hand.

Topics Covered:

Date	Class No.	Material in this column will be covered from the Revelle text, and other sources. Page numbers in “< >” refer to Revelle 1st edition. Page numbers in “{ }” refer to the 2nd edition. See comments at bottom.NOTE! Learning objectives for each day are listed on the pages below.Note: Print out the material for each day listed below and bring it to class with you.	Homework Problems, Assignments, and Hints Each problem listed in a set is worth 10 points per problem, unless otherwise noted.Note that the homework problems which are listed in carets “<  >” are from the 1st Edition of Revelle, and those listed within braces “{  }” are from the 2nd Edition.Problem hints, if any, and any other relevant information are hyperlinked. For students awaiting a book ordered over the web, a copy of these problems can be found at eCampus in the 322 files. All homework problems are to be handed in one week from the day assigned as a hard copy unless otherwise stated in the problem assignment.
Week 1
Class 1 Monday 1/13	1	Introduction to 322 [Engineering Economics] Introduction, transferring money in time, interest, cash flow tables and cash flow diagrams, early payoffs. Online video help – Note that videos had to be removedEconomics *Revelle Pages <346-351>{377-382} Learning objectives, topics covered, example problemsHelp on interest	Click here to begin course Next: Read all hyperlinked syllabus material at the top of this page. Hints on homework problems are hyperlinked on the problems below. Homework solutions will be submitted in class on paper.
Class 2 Wednesday 1/15	2	[Engineering Economics] Investment, rule of 72, equivalence, sub-compounding, continuous compounding, use of standard economics equations. Derive F = A(F/A , i , n), others. Learning objectives, topics covered, example problems	Homework problems from the text: Assignment 1 Either this <1st edition>: <Chap 13.1, 2, 5> or this {2nd edition}:{Chap 14.1, 2, 5}, depending on which edition of the text you are using. Due 1/31/20
Class 3 Friday 1/17	3	[Engineering Economics] Online video helpNote that videos had to be removedEconomics *Revelle Pages <351-355>{382-388} Learning objectives, topics covered, example problems	Assignment 2 <Chap 13.6, 9(3% rate only)>or {Chap 14.6, 9(3% rate only)}Due 2/7/20
Week 2
Class 4 Wednesday 1/22	4	[Engineering Economics] Arithmetic gradient cash flows, geometric gradient cash flows, capitalized costs, nominal vs. true interest rates, finding unknown interest rate (internal rate of return), finding unknown number of compounding periods.Online video helpNote that videos had to be removed Economics *Revelle Pages <356-361>{387-392} Learning objectives, topics covered, example problems	Assignment 3 <Chap 13.11, 14>or {Chap 14.11, 14} Due 2/10/20
Class 5 Friday 1/24	5	[Engineering Economics] Project comparisons, maximization of net benefits *Revelle Pages <367-378>{403-413} Learning objectives, topics covered, example problems	Assignment 4 <Chap 13.15, 18> or {Chap 14.15, 18} Due 2/12/20
Class 6 Monday 1/27	6	[Engineering Economics] Equivalent time of projects, annual cash flow comparisons. Online video helpNote that videos had to be removedEconomics *Revelle Pages <367-378>{403-413} Learning objectives, topics covered, example problems	Assignment 5 <Chap 13.23> or {Chap 14.23} Due 2/14/20
Week 3
Class 7 Wednesday 1/29	7	[Engineering Economics] Minimum attractive rate of return, internal rate of return, payback period, break-even analysis. Online video helpNote that videos had to be removedEconomics *Revelle Pages <379-387>{414-423} Learning objectives, topics covered, example problems	Assignment 6 <Chap 14.2, 4, 6(a,b,c only), 8(a,b only)> or {Chap 15.2, 4, 6(a,b,c only), 8(a,b only)} Due 2/17/20
Class 8 Friday 1/31	8	[Engineering Economics] Straight line depreciation, declining balance. Online video help Note that videos had to be removed  Economics *Revelle Pages <393-398>{433-438}Learning objectives, topics covered, example problems	Assignment 7 <Chap 14.10> or {Chap 15.10} Due 2/19/20
Class 9 Monday 2/3	9	[Engineering Economics] When depreciation is allowed. Online video help Note that videos had to be removed Economics *Revelle Pages <393-398>{433-438} Pure 200% double declining balance notesLearning objectives, topics covered, example problems	Assignment 8 <Chap 14.11,12> or {Chap 15.11,12} Due 2/21/19
Week 4
Class 10 Wednesday 2/5	10	[Engineering Economics] MACRS depreciation, changing from MACRS to straight line, corporate and personal taxes, effects of inflation. Excel program for MACRS depreciation Excel program for tax benefits of depreciation Online video helpNote that videos had to be removedEconomics *Revelle Pages <399-420>{440-464} Learning objectives, topics covered, example problems	Assignment 9 <Chap 15.1, 2, 3, 5, 6> or {Chap 16.1, 2, 3, 5, 6} Due 2/24/20
Class 11 Friday 2/7	11	[Engineering Economics] Mortgages, amount required to pay a loan off early, interest paid. Online video helpNote that videos had to be removedEconomics *Revelle Pages <421-436>{465-481} Learning objectives, topics covered, example problems	Assignment 10 <Chap 15.8, 16, 19> or {Chap 16.8, 16(a, b only), 19} Due 2/26/20
Class 12 Monday 2/10	12	[Engineering Economics] Interest saved under various conditions, bonds. Online video helpNote that videos had to be removedEconomics *Revelle Pages <421-436>{465-481} Learning objectives, topics covered, example problems	Assignment 11 <Chap 15.29, 30> or {Chap 16.29, 30} Due 2/28/20End of Engineering Economics Homework
Week 5
Class 13 Wednesday 2/12	13	[Engineering System Optimization] Use of Spreadsheets & EES How to get EES EES User’s Manual Excel bolted plate example EES bolted plate example EES manhole example EES Tutorial	Learning to use EESAssignment 12a Web Problem 4.1 Roof Pump problem to be solved using EES Due 3/2/20 Assignment 12b RESUME I would like you to generate and submit a resume so you will have one even if  you think you have nothing to say.  Do your best.  What classes have you had and what did you learn how to do?  Member of ASCE?  TSPE?  ACI?  Concrete canoe? Due 3/2/20
Class 14 Friday 2/14	14	[Engineering System Optimization] Use of EES to solve roof pump problem.Learning objectives, topics covered, example problems	Learning to use advanced features of ExcelAssignment 13Web Problem 4.2: Roof Pump problem to be solved using Excel.  Notes on problem. Comments on hand calculations, accuracy, etc. Due 2/21/20
Class 15 Monday 2/17	15	[Engineering System Optimization] Use of Excel to solve roof pump problem.Online help Note that videos had to be removed Excel Tutorial (Read if you need help)Learning objectives, topics covered, example problems	Learning to use advanced features of ExcelAssignment 14Web Problem 4.3: Modified Roof Pump problem to be solved using Excel. Due 2/24/20
Week 6
Class 16 Wednesday 2/19	16	[Engineering System Optimization] Use of EES and Excel to solve footing problem.  Optimization of engineering problems using Linear Programming.  Use of the MOR Program.  Binary and integer vs. floating point numeric solutions. How to solve linear programming problemsOne sheet summary Differences between L.P. and normal equations Water distribution problem Solving L.P. problems by plotting Excel Linear Programming Template Excel River/Well water problem on Template Computer programs: How to download DOSBOX and run MOR. Read: MOR User’s Manual Online help: MOR help file Learning objectives, topics covered, example problems **Revelle pages <15-30>	Learning to use MOR Assignment 15Web Problem 4.4: Spread Footing problem to be solved using EES Due 2/26/20
Class 17 Friday 2/21	17	[Engineering System Optimization] Linear ProgrammingPrint out a copy of each of the following problems and bring it to class with you:Graphical solutions Integer solutions Cut and fill problem, Learning objectives, topics covered, example problems **Revelle pages <31-45>	Assignment 16 Web Problem 4.5: Spread Footing problem to be solved using Excel. Due 2/28/20
Class 18 Monday 2/24	18	[Engineering System Optimization] Linear ProgrammingPrint out a copy of each of the following problems and bring it to class with you:Time independent production model I Time independent production model II Learning objectives, topics covered, example problems **Revelle pages <31-45>	Solve using MOR: Assignment 17Web Problem: 5.0 (water distribution), Web Problem: 5.1 (balanced haul)Due 3/2/20
Week 7
Class 19 Wednesday 2/26	19	[Engineering System Optimization] Linear ProgrammingPrint out a copy of each of the following problems and bring it to class with you:Waste disposal for large combined area. Learning objectives, topics covered, example problems **Revelle pages <46-60>	Web Problems: Assignment 185.2 (waste transport) 5.3 (% gravel hauling) 5.4 (dirt haul)Due 3/4/20
Class 20 Friday 2/28	20	[Engineering System Optimization] Balanced vs. unbalanced transportation/supply & demand problemsPrint out a copy of each of the following problems and bring it to class with you:Balanced supplies and demands Learning objectives, topics covered, example problems **Revelle pages <60-70>	Web Problems: Assignment 195.5 (apartments) 5.6 (concrete haul) 5.10 (balanced shipping) Due 3/6/20
Class 21 Monday 3/2	21	[Engineering System Optimization] Balanced vs. unbalanced transportation/supply & demand problemsPrint out a copy of the following problems and bring it to class with you:Unbalanced supplies and demands, assignments **Revelle pages <60-70>	Web Problems: Assignment 205.13 (gravel for road) 5.14 (graphic solution) 5.16 (regional wastewater plants)Due 3/16/20
Week 8
Class 22 Wednesday 3/4	22	Quiz A – Covers Engineering Economics, EES, & Excel Spreadsheets, through Class #16.  Linear programming is not covered on Quiz A.	Exam A will be held today during regular class hours, in our regular classroom. The only material allowed in the exam is the F.E. Exam Reference Manual (click here for a copy.)Bring a copy with you to the exam unless you have memorized the interest rate tables, and all equations.If you need material that is not in the reference manual, I will give it to you on the exam. Reference Manuals will be available for lease from the professor during the exam, at a cost of $10 per page. Your homework assigned earlier is still due today.  However I don’t want to delay the quiz, so you can hand it in with your next homework set.  That doesn’t mean it isn’t due, only that you are going to hand in two sets next class. As you enter the room you will be given a seat/numbered exam and directed where to sit.  It will take a few minutes to get in and prepare the room, so come early.
Class 23 Friday 3/6	23	[Engineering System Optimization] Linear ProgrammingPrint out a copy of each of the following problems and bring it to class with you:Subcontractor Bids Learning objectives, topics covered, example problems **Revelle pages <71-80>	Web Problems: Assignment 215.11 (regional refuse haul) 5.17 (lay binding with paver)Due 3/20/20
SPRING BREAK ONE WEEK Class 24 Monday 3/16	24	[Engineering System Optimization] Linear ProgrammingPrint out a copy of each of the following problems and bring it to class with you:Traffic Networks	Web Problems: Assignment 225.21 (rapid transport system) 5.33 (assign machines)Due 3/23/20
Week 9
Class 25 Wednesday 3/18	25	[Engineering System Optimization] Linear ProgrammingLearning objectives, topics covered, example problems**Revelle pages <81-95>	Web Problems: Assignment 235.18 (make paper) 5.62 (power line)Due 3/25/20
Class 26 Friday 3/20	26	[Engineering System Optimization] Linear ProgrammingPrint out a copy of each of the following problems and bring it to class with you:Time independent production model 1 Time independent production model 2 Time dependent production model Learning objectives, topics covered, example problems **Revelle pages <129-136>	Web Problems: Assignment 245.63 (Skycon)Due 3/27/20
Class 27 Monday 3/23	27	[Engineering System Optimization] Linear ProgrammingPrint out a copy of each of the following problems and bring it to class with you:Bus driver allocation	Web Problems: Assignment 255.65 (bus shift times)Due 3/30/20
Week 10
Class 28 Wednesday 3/25	28	[Engineering System Optimization] Linear ProgrammingPrint out a copy of each of the following problems and bring it to class with you:Open pit mining Ambulance siting Siting hamburger shoppes Learning objectives, topics covered, example problems **Revelle pages <137-147>	Web Problems: Assignment 265.64 (contractor) 5.72 (unbalanced supplies)Due 4/1/20
Class 29 Friday 3/27	29	Quiz B – Covers Engineering System Optimization (linear programming) and Engineering Economics, through Class #26, with some emphasis on Linear Programming.  All LP problem types covered in class are on the quiz.   Engineering Simulation is not covered.	Exam B will be held during regular class hours in our classroom. The only material allowed in the exam is the F.E. exam reference manual on Economics (click here for a copy). Bring a copy with you to the exam unless you have memorized the interest rate tables, and all equations. Your homework assigned earlier is still due today.  However I don’t want to delay the quiz, so you can hand it in with your next homework set.  That doesn’t mean it isn’t due, only that you are going to hand in two sets next class.   Due 4/3/20
Class 30 Monday 3/30	30	[Engineering System Simulation] Simulation of engineering systems Click here for NSF’s Opinion on SimulationHow to compute inter-arrival times – Uniform, Normal, Exponential Distributions, Z tables, Record the time you come into class, Summary of how to compute inter-arrival times.Excel calculator for inter-arrival times Learning objectives, topics covered, example problems	Assignment 27 5.8 (where supply < demand) Web Problem 6.0: Determine interarrival times. Due 4/6/20
Week 11
Class 31 Wednesday 4/1	31	[Engineering System Simulation] Simulation of engineering systems. How dynamic systems are simulated.	Simulation hand solution form. Assignment 28 Web Problem 6.1: Trucking simulation by hand, using Simulation hand solution form. Due 4/8/20
Class 32 Friday 4/3	32	[Engineering System Simulation] Introduction to simulation of engineering systems using Block Oriented System Simulation, (BOSS***)NOTE: The best book on earth on simulation is available here.A complete BOSS user’s manual on simulation is available as a .pdf file by clicking here Use of the MOR/DS program, Discuss economic impact from using 1 truck, 2 trucks, 100 trucks. Print out a copy of each of the following problems and bring it to class with you: Hand solution simulation form. Hauling dirt simulation by hand, Solution to problem Learning objectives, topics covered, example problems	Assignment 29 Economics Web Problem 6.11: Holtzapple Due 4/13/20
Class 33 Monday 4/6	33	[Engineering System Simulation] Short list of BOSS commands (READ!) Full set of BOSS commands (READ!) BOSS help file Typical BOSS example problem – Hamburgers Learning objectives, topics covered, example problems	Assignment 30 Web Problem 6.10: Practice with interarrival time distributions Due 4/15/20
Week 12
Class 34 Wednesday 4/8	34	[Engineering System Simulation] More typical BOSS commands (READ AGAIN!)	Assignment 31 Solve using MOR/BOSS: Web Problem 6.3: Dirt hauling simulation I All homework from now on due 7 days hence. Due 4/17/20
Class 35 Monday 4/13	35	[Engineering System Simulation] Simulation of hauling dirt using BOSS – 2 trucks of same size Learning objectives, topics covered, example problems	Assignment 32 Solve using MOR/BOSS: Web Problem 6.4: MacDondald’s hamburger simulation Due 4/20/20
Class 36 Wednesday 4/15	36	[Engineering System Simulation] Simulation of hauling dirt using BOSS – Multiple trucks of various size How to do in Simulink what we do in 10 lines of code in BOSS.	Assignment 33 Solve using MOR/BOSS: Web Problem 6.5: Classroom simulation Due 4/22/20
Week 13
Class 37 Friday  4/17	37	[Engineering System Simulation] Show how to interpret BOSS output. Why it is necessary to run each case several times Zero time loops, and other illegal statements. Hauling dirt using BOSS – 2 trucks of different sizes BurgersLearning objectives, topics covered, example problems	Assignment 34 Solve using MOR/BOSS: Web Problem 6.6: Dirt hauling simulation II Due 4/24/20
Week 14
Class 38 Monday  4/20	38	[Engineering System Simulation] City intersection figure City intersection study	Assignment 35 Web Problem 6.7: Tanker/tank farm simulation Due 4/24/20 Yep, 4/24/20
Class 39 Wednesday 4/22	39	[Engineering System Simulation] Intercoastal canal waterway study	Assignment 36 Web Problem 6.8: Dredging simulation Homework: Thoroughly understand what we did in class today and be ready to answer similar questions on the final exam. Pick up any unreturned homework in front of my office door next Monday morning, or later.
Class 40 Friday  4/24	40	[Engineering System Simulation] Tanker/tank farm/storm simulation BOSS exam practice problems Solutions to BOSS practice problems	Assignment Homework: Thoroughly understand what we did in class today and be ready to answer similar questions on the final exam. Pick up any unreturned homework in front of my office door next Monday morning, or later.
Week 15
Class 41 Monday 4/27	41	[Engineering System Simulation] Racing crew simulation Saving simulation results to disk with histograms and distributions	Assignment Homework: Thoroughly understand what we did in class today and be ready to answer similar questions on the final exam. Pick up any unreturned homework in front of my office door next Monday morning, or later.
Class 42 Tuesday  4/28	42	Thinning of arriving entities EXITLOGIC (simple example) EXITLOGICBOSS exam practice problems Solutions to BOSS practice problems	Assignment Homework: Thoroughly understand what we did in class today and be ready to answer similar questions on the final exam. Pick up any unreturned homework in front of my office door next Monday morning, or later.
		Final Exam held in our classroom on Tuesday, May 5, 2020, 10:30 am to 12:30 pm. Covers everything in the course, with emphasis on BOSS (simulation).YOU!!! CHECK THIS TIME AND DATE FOR ACCURACY AT:University Final Exam Schedules	The Final Exam covers everything in the course with emphasis on BOSS. You are permitted to bring the following materials only: Typical BOSS Commands hand-out sheets including the example problems that are printed in that set of notes, and your FE Engineering Exam Review Manual for Economics.
* Revelle text – this is required reading, either from the Revelle text or from an equivalent text. If you do not have the Revelle text, but have some other engineering economics textbook, that will suffice. Just study the same material as listed in our book, as specified above. ** Revelle text – reading materials used to supplement class lectures only. NOT REQUIRED READING. *** A complete BOSS user’s manual is available as a .pdf file by clicking here.

 

The following is the required ADA statement.

• • Texas A&M University is committed to providing equitable access to learning opportunities for all students. If you experience barriers to your education due to a disability or think you may have a disability, please contact Disability Resources in the Student Services Building or at (979) 845-1637 or visit http://disability.tamu.edu. Disabilities may include, but are not limited to attentional, learning, mental health, sensory, physical, or chronic health conditions. All students are encouraged to discuss their disability related needs with Disability Resources and their instructors as soon as possible.

ABET Outcomes Addressed – From New (1) – (7)

1. an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics
2. an ability to communicate effectively with a range of audiences
3. an ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts
4. an ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives
5. an ability to acquire and apply new knowledge as needed, using appropriate learning strategies.

The following is the required Academic Integrity Statement

 “An Aggie does not lie, cheat, or steal or tolerate those who do.”

All syllabi shall contain a section that states the Aggie Honor Code and refers the student to the Honor Council Rules and Procedures on the web: http://www.tamu.edu/aggiehonor

As the New York City engineer, you need the following number of busses on the road, at the following shift times, and must pay the following hourly rates. Once drivers come to their shifts, they work a continuous 9 hour period, and then leave. Their pay is based on when their shift starts. For example, because the midnight shift is extremely tiring and dangerous, we have to pay a driver accepting that shift a daily salary of $16/hour * 9 hours to get them to work.

Shift	Times	Number of busses	Hourly Wage
A	12 AM – 3 AM	250	16
B	3 AM – 6 AM	420	15
C	6 AM – 9 AM	740	12
D	9 AM -12 PM	680	10
E	12 PM – 3 PM	520	9
F	3 PM – 6 PM	880	10
G	6 PM – 9 PM	580	12
H	9 PM -12 AM	350	14

Determine how many drivers to hire, and at what hours (shifts) you should have them come to work, as well as how much it will cost to operate the bus system each day.

Print out the following page and bring it to class with you.

As the city engineer, you need to optimize the cost to have the following number of busses on the road, at the following shift times, and must pay the listed hourly rates. Once drivers come to their shifts, they work a continuous 8 hour period, and then leave. Their pay is based on when their shift starts. For example, because the midnight shift is extremely tiring and dangerous, we have to pay a driver accepting that shift a daily salary of $16/hour * 8 hours to get them to work. Their pay rate does not change 4 am.

Shift	Times	Number of Busses Needed	Hourly Wage
A	12 am – 4 am	350	16
B	4 am – 8 am	520	15
C	8 am – 12 pm	940	12
D	12 pm – 4 pm	820	9
E	4 pm – 8 pm	1280	10
F	8 pm – 12 am	980	12

Because of insurance reasons, we can have no more than 500 drivers on the payroll from 12 AM to 4 AM and because of union rules, no shift can bring in fewer than 50 drivers.

Determine how many drivers to hire, and at what hours (shifts) you should have them come to work, as well as how much it will cost to operate the bus system each day.

Skycon, Inc.
4006 Avenue R 1/2
Galveston, Texas 77881
August 14, 1999

Re: Problem 5.63

Dr. Lee L. Lowery, Jr.
Department of Civil Engineering
Texas A&M University
College Station, Texas 77843

Dear Dr. Lowery:

Regarding our recent conversation, we would greatly appreciate your assistance in optimizing our forthcoming production run of satellite dishes. Because of the cyclic nature of sales, we usually crank up dish operations in July and quit in December with no inventory left over. We have firm commitments for the following number of sales, and can get enough material to make the maximum number of units shown:

	Jul	Aug	Sep	Oct	Nov	Dec
Anticipated Sales	30	20	50	40	20	50
Maximum Available Material	40	50	20	50	30	30

We presently pay our workers $10/hour with 20% additional if they work overtime. You may assume that a worker works 170 hours a month regular time. They will be getting a 10% raise (both regular and overtime) effective November 1st. It takes us 100 hours to make a dish. I presently have 20 people who can be put on the satellite line. Ten of these will have to be left making dishes once we get started since they really cannot do anything else. They must be paid even if we are not making dishes during that month. The other 10 can be shifted in and out if you wish, and will be paid by other accounts unless you are using them (only charged to the satellite account if you use them.)

We have a storage shed where we can store up to 15 dishes. If you find it necessary, we will enlarge this capacity, but you will have to tell us how big to make it. It costs us $50 per dish per month to store a dish. Please note that we are a relatively small company, and can only afford to purchase materials for use in actually making dishes, and thus cannot carry material over from month to month.

I greatly appreciate your assistance on this matter, since we have no idea what to do. We normally just make them as we need them, realizing that we probably should have made them earlier, maybe, and stored them, maybe, maybe not. The possibilities just seem endless.

Very truly yours,