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Problem: 5-6

Posted on July 27, 2021 by Abigail Stason

Given: You are in charge of a large construction project involving three separate sites some miles apart. Site 1 requires 1000 cu.yds. of concrete; site 2 requires 3000 cu.yds.; and site 3 requires 2000 cu.yds. I own three concrete batch plants which I prefer to draw from: plant 1 can supply 2000 cu.yds., plant 2 can provide 1000 cu.yds., and plant 3 can provide 2000 cu.yds. If my three batch plants cannot supply sufficient concrete, I can acquire concrete from an outside source at a cost of $20/cu.yds. if hauled to site 1, $22/cu.yds. if hauled to site 2, and $24/cu.yds. if hauled to site 3. Normal concrete costs from my plants (delivered) are as follows:

Site 1

Site 2

Site 3

Batch Plant 1

10

15

20

Batch Plant 2

12

10

16

Batch Plant 3

15

7

22

Required: Solve this problem so that concrete costs are minimized.

Filed Under: Uncategorized

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