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MAT 540 Week 11 - Final Exam
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Final Draft of MAT 540 Final


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)
      0 - 1
      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)

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 constraint





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

8. Decision models are mathematical symbols representing levels of activity.
  (Points : 5)

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