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IEOR162_Midterm_Fall07

IEOR162_Midterm_Fall07 - IEOR 162 Linear...

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IEOR 162 Linear programming (Undergraduate) Midterm, Fall 2007 Instructor: Ying-Ju Chen There are four questions in this midterm. Please answer three of them. If you attempt all the  four questions, only three of them, selected randomly, will be graded. Please write down your  name on the first page. Good luck!   1. Graphically solve the following linear programming problem:  Min  Z  = 6 X 1  + 2 X 2 3 X 1  + 2 X 2    12 2 X 1  + 4 X 2    12 X 2    1 X 1    0 X 2    0 Please identify the solution(s) on your graph and briefly explain how you obtain the feasible  region, the isoprofit lines, and the optimal solution(s). 
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2. Chemco produces two chemicals: A and B. These chemicals are produced via two  manufacturing processes. Process 1 requires 2 hours of labor and 1 lb of raw material to  produce 2 oz of A and 1 oz of B. Process 2 requires 3 hours of labor and 2 lb of raw material 
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