Sample Midterm2

# Sample Midterm2 - ADM 2302 Midterm Exam Student Name...

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ADM 2302 Midterm Exam Student Name: Student #: Section: _____ Please answer all the questions in the space provided (If you require more space you may use the back of the page). Only answers in this booklet will be marked. You may use separate pages for the scrap notes. Duration: 2 hours This booklet has 11 pages. DO NOT WRITE ON THE TABLE BELOW Problems 1 2 3 4 Total Notes Points 12 20 10 18 60 Professor: Rim Jaber Page: 1

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ADM 2302 Midterm Exam Problem 1 (12 points) Consider the following linear program: Max Z = X 1 – 2X 2 Subject to – 4X 1 + 3X 2 <= 3 X 1 – X 2 <= 3 X 1 , X 2 >= 0 a) Graph the feasible region for the problem. (4 points) Professor: Rim Jaber Page: 2
ADM 2302 Midterm Exam b) Is the feasible region unbounded? Explain. (2 points) c) Find the optimal solution. (4 points) d) Does an unbounded feasible region imply that the optimal solution to the linear program will be unbounded? (2 points) Professor: Rim Jaber Page: 3

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ADM 2302 Midterm Exam Problem 2 (20 points) A large sporting goods store is placing an order for bicycles with its supplier. Four models can be ordered: the adult Open Trail, the adult Citscape, the girl’s Sea Sprite, and the boy’s Trail Blazer. It is assumed that every bike ordered will be sold, and their profits, respectively, are 30, 25, 22, and 20. The LP model should maximize the profit. There are several conditions that the store needs to worry about.
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Sample Midterm2 - ADM 2302 Midterm Exam Student Name...

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