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Problem 5.4

Posted on July 27, 2021 by Abigail Stason

The layout shown is for a subdivision that requires the following cuts and fills:

Requirement (cy)

Cut A

100,000

Cut B

60,000

Cut C

80,000

Fill D

140,000

Fill E

70,000

Fill F

50,000

a) Assume that the bridge shown has not yet been constructed. Determine the solution for the minimum cost for this job. The borrow pit at H will sell you up to 60,000 cy of fill for $0.05/cy. Thereafter, he will sell up to an additional 40,000 cy of fill for $0.08/cy, but no more. Spoils pit G will accept up to 30,000 cy of spoils at no charge, but will charge $0.02/cy thereafter, without limit. Hauling charges are $0.03/cy per mile for North-South travel, and $0.02/cy/mile for East-West travel. All distances shown on the map are miles.

b) Solve the problem again, assuming that the bridge is able to be completed before you start work.

 

Hint: Borrow pit H can be broken up into two separate pits: HL (H low cost) and HH (H high cost.) Likewise, Spoils pit G can be broken up into two separate pits: GF (G free) and GL (G low cost.)

Solution can be found here.  Cost coefficients courtesy of Mr. Armand and not guaranteed.  Check them yourself.  Errors reported to lowery@tamu.edu will be acknowledged.

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