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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