Bradley Family (a)Let X1 = # of acres of corn and X2 = # of acres of tobacco CornTobacco Resources Available 300520 Land 11 <=410 Budget 105210 <=52500 Govt. Restriction 01 <=100 Government
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| Bradley Family | |||||||||||
| (a) | Let X1 = # of acres of corn and X2 = # of acres of tobacco | ||||||||||
| Corn | Tobacco | Resources Available | |||||||||
| 300 | 520 | ||||||||||
| Land | 1 | 1 | <= | 410 | |||||||
| Budget | 105 | 210 | <= | 52500 | |||||||
| Govt. Restriction | 0 | 1 | <= | 100 | Government Restriction | ||||||
| X1 | X2 | ||||||||||
| Decision Variables | |||||||||||
| Objective function | |||||||||||
| (b) | How many acres of farm land will not be cultivated at the optimal solution? | ||||||||||
| Do the Bradleys use the entire 100 acre tobacco allotment? | |||||||||||
| ('c) | Should the Bradleys' lease extral land from their neighbor at $110 per acre? | ||||||||||
| What is the maximum price the Bradleys' should pay their neighbor? And how much land shoud they lease? | |||||||||||
| maximum price | |||||||||||
| # of acres of land | |||||||||||
| (d) | For each dollar they borrow , how much additional profit will they make? | ||||||||||
| If they borrowed a additional $1000, would the number of acres of corn and tobacco they plant change? | |||||||||||
11 years ago
20
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