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Author Question: Tom is a habitual shopper at garage sales. Last Saturday he stopped at one where there were several ... (Read 89 times)

Frost2351

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Question 1

A linear programming problem contains a restriction that reads "the quantity of S must be no more than one-fourth as large as T and U combined." Formulate this as a constraint ready for use in problem solving software.

Question 2

Tom is a habitual shopper at garage sales. Last Saturday he stopped at one where there were several types of used building materials for sale. At the low prices being asked, Tom knew that he could resell the items in another town for a substantial gain. Four things stood in his way: he could only make one round trip to resell the goods; his pickup truck bed would hold only 1000 pounds; the pickup truck bed could hold at most 70 cubic feet of merchandise; and he had only $200 cash with him. He wants to load his truck with the mix of materials that will yield the greatest profit when he resells them.

ItemCubic feet per unitPrice per unitWeight per unitCan resell for
2 × 4 studs1$0.105 pounds$0.80
4 × 8 plywood3$0.5020 pounds$3.00
Concrete blocks0.5$0.2510 pounds$0.75

State the decision variables (give them labels). State the objective function. Formulate the constraints of this problem. Do not solve, but speculate on what might be a good solution for Tom. You must supply a set of quantities for the decision variables. Provide a sentence or two of support for your choice.


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Marked as best answer by Frost2351 on Dec 3, 2019

ambernicolefink

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Frost2351

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Reply 2 on: Dec 3, 2019
YES! Correct, THANKS for helping me on my review


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Reply 3 on: Yesterday
Great answer, keep it coming :)

 

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