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Unformatted text preview: Industrial Engineering Spring Operations Research – Optimization Review Prob ems for Exam Note: these problems together are not meant to represent the total length of the exam. Prob em . Consider the following feasible region: x y ≤ x y ≥  x ≥ y ≥ a. Graph the feasible region. b. List all the extreme points. If there are none, write “none.” c. Give a maximizing objective function such that ( , ) and ( , ) are optimal in the feasible region above. d. Give a maximizing objective function such that ( , ) is optimal in the feasible region above. e. Add a constraint that makes the feasible region infeasible. Prob em . Priceler manufactures sedans and wagons. e number of each type of vehicle that can be sold in each of the next three months is: Sedans Wagons Month Month Month Each sedan has a pro t of , and each wagon has a pro t of . To hold a vehicle in inventory from one month to the next costs per sedan and per wagon. During each month, at most vehicles can be produced. Production line restrictions dictate at least twothirds of all cars produced during monthcan be produced....
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 Spring '08
 Jeanphilippe,R
 Operations Research, Linear Programming, Optimization, feasible region, Simplex Company

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