Question: Using the information below develop a linear program to determine the best course of action for Draper Agricultural Enterprises. Draper Agricultural Enterprises operates 3 ranches
Using the information below develop a linear program to determine the best course of action for Draper Agricultural Enterprises.
Draper Agricultural Enterprises operates 3 ranches in the West. The acreage and irrigation water available for the three ranches are shown below:
| Farm | Acreage | Water Available (Acre Feet) |
|---|---|---|
| 1 | 400 | 1,500 |
| 2 | 600 | 2,000 |
| 3 | 300 | 900 |
Three crops can be grown; however, the maximum acreage which can be grown of each crop is limited by the amount of appropriate harvesting equipment available. The three crops are described below:
| Crop | Total Harvesting Capacity (In Acres) | Water Requirements (In Acre-Feet/Acre) | Expected Profit (In $/Acre) |
|---|---|---|---|
| Rye | 700 | 6 | 400 |
| Corn | 800 | 4 | 300 |
| Barley | 300 | 2 | 100 |
Any combination of crops can be grown on a farm.
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