Question
3) You own a wheat warehouse with a capacity of 20,000 bushels. At the beginning of month 1, you have 6000 bushels of wheat. Each
3) You own a wheat warehouse with a capacity of 20,000 bushels. At the beginning of month 1, you have 6000 bushels of wheat. Each month, wheat can be bought and sold at the prices per 1000 bushels listed in the file table below. The sequence of events during each month is as follows: You observe your initial stock of wheat. You can sell any amount of wheat up to your initial stock at the current months selling price. You can buy as much wheat as you want, subject to the limitation of warehouse size. a. Determine how to maximize the profit earned over the next 10 months. [Chapter 4] b. Use SolverTable to determine how a change in the capacity of the warehouse affects the optimal solution. (Mac users can skip this part) c. Use SolverTable to determine how simultaneous changes in the buying and selling price for month 6 affect the optimal solution.
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Month | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Selling | $ 4.18 | $ 4.44 | $ 3.94 | $ 3.71 | $ 4.55 | $ 4.62 | $ 3.74 | $ 4.30 | $ 4.10 | $ 4.16 |
Purchase | $ 4.36 | $ 4.51 | $ 4.08 | $ 3.86 | $ 4.66 | $ 4.77 | $ 3.93 | $ 4.36 | $ 4.24 | $ 4.31 |
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