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Unformatted text preview: AMS 341 Spring, 2010 Homework Set # 5 Solution Notes #5, 5.1: a45 a54 x 2 10 C x 1 10 A D B(20 , 10) (a) The slopes are 1 2 for the first constraint and 2 for the second. To keep the current basis remain optimal, the slope c 1 2 of the isoprofit line must satisfy 2  c 1 2  1 2 . Thus, the profit from type 1 radio c 1 satisfies 1 c 1 4. The profit is equal to the price minus the cost of producing one type 1 radio, which is 22. The price of type 1 radio is between $23 and $26. (b) Similar to (a), suppose the profit from type 1 radio is fixed, and the profit from type 2 radio is c 2 the isoprofit line must satisfy 2  3 c 2  1 2 . and therefore 1 . 5 c 2 6. The price of type 2 radio is between $21.5 and $26. (c) At point C, we have x 1 + 2 x 2 = 25. As long as laborer 1 work no less than 25 hours per week, the current basis will remain optimal. Therefore, in this problem the basis is still optimal and the new optimal solution is z = 230 3 , x 1 =...
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This note was uploaded on 05/03/2010 for the course AMS 341 taught by Professor Arkin,e during the Spring '08 term at SUNY Stony Brook.
 Spring '08
 Arkin,E

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