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MAT 540 Week 11 Final Examination Answers

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1. Which of the following could be a linear programming objective function? (Points : 5)

Z = 1A + 2BC + 3D

Z = 1A + 2B + 3C + 4D

Z = 1A + 2B / C + 3D

Z = 1A + 2B2 + 3D

all of the above

2. Which of the following could not be a linear programming problem constraint? (Points : 5)

1A + 2B

1A + 2B = 3

1A + 2B LTOREQ 3

1A + 2B GTOREQ 3

3. Types of integer programming models are _____________. (Points : 5)

total

0 – 1

mixed

all of the above

4. The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. If the production manager decides to produce of 0 bottles of light beer and 400 bottles of dark beer, it will result in slack of (Points : 5)

malt only

wheat only

both malt and wheat

neither malt nor wheat

5. The reduced cost (shadow price) for a positive decision variable is 0.

(Points : 5)

True

False

6. Decision variables (Points : 5)

measure the objective function

measure how much or how many items to produce, purchase, hire, etc.

always exist for each constraint

measure the values of each constrain

7. A plant manager is attempting to determine the production schedule of various products to maximize profit. Assume that a machine hour constraint is binding. If the original amount of machine hours available is 200 minutes., and the range of feasibility is from 130 minutes to 340 minutes, providing two additional machine hours will result in the: (Points : 5)

same product mix, different total profit

different product mix, same total profit as before

same product mix, same total profit

different product mix, different total profit

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