hw7 - AMS 540 / MBA 540 (Fall, 2010) Estie Arkin Linear...

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AMS 540 / MBA 540 (Fall, 2010) Estie Arkin Linear Programming Homework Set # 7 Due in class on Tuesday, November 9, 2010. 1). Consider the following problem and its optimal solution z = 9, x 1 = 1 x 2 = 6. max 3 x 1 + x 2 s . t . 2 x 1 + x 2 8 4 x 1 + x 2 10 x 1 , x 2 0 (a). Graphically, ±nd the range of values of b 2 for which the current basis remains optimal. (b). Calculate the shadow price of the second constraint. (c). Graphically ±nd the range of c 1 for which the current basis remains optimal. 2). A company uses labour and raw material to produce three products: resource product 1 product 2 product 3 Labor(hours) 3 4 5 raw material (units) 2 2 5 sale price(\$) 6 8 13 Currently 60 units of raw material are available. Upto 90 hours of labor can be purchase at \$ 1 per hour. Let x i be the units of product i produced, and L the number of hours of labor purchsed. Use the Lindo output below to answer each of the following parts. max
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This note was uploaded on 01/31/2011 for the course AMS 540 taught by Professor Arkin,e during the Fall '08 term at SUNY Stony Brook.

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