The total available acerage is 325.4 acres. The Total Water Allotment is 812 Acre-Feet.

It is assumed that all other resources such as fertilizer and labor are fixed costs and are readily available. In addition to the above information, the farmer must grow as many acres of lettuce as he grows wheat (for his crop rotation scheme), and he has already promised to sell 45,000 units of corn to a very good customer. How can the farmer make the greatest amount of money and not exceed his resources or disappoint his good customer?

The linear programming model is:

Maximize: 5.23(# units of corn)+6.09(#units of wheat)+7.5(#units of lettuce)

Subject to:

#units of corn >= 45,000

1/1000(#units of wheat) - 1/800(#units of lettuce) = 0

1/900(#units of corn) + 1/1000(#units of wheat) + 1/800(#units of lettuce) <= 325.4

2.1/900(#units of corn) + 2.6/1000(#units of wheat) + 3/800(#units of lettuce) <= 812

All variables >= 0

7 Easy Steps:

Step 1 - Select problem type. Click Maximize radio button.

Step 2 - Enter the number of Decision Variables. In our example: 3.

Step 3 - Enter the coefficients of the objective function: 5.23, 6.09, 7.5

Step 6 - All constraints entered? Click "Complete" button to go to solution page.

Step 7 - Click "Solve" button and get the solution to your Linear programming problem.

7 Easy Steps

• The LP Tool is easy to use
• Spreadsheet type entry
• High Precision
• Just follow 7 easy steps!

Consider the following problem:

A farmer raises three cash crops: corn, wheat, and lettuce. Each crop's Expected Profit/unit, Yield Unit/acre, and water allotment in acre-ft/Acre of crop is:

• Corn: $5.23, 900, 2.1
• Wheat: $6.09, 1000, 2.6
• Lettuce: $7.5, 800, 3.0

Step 4 - All data complete? Click "Complete" Button and Continue.

Step 5 - Enter all Constraint equations for the problem.

There it is. 7 easy steps to solving linear programming problems!

Get your trial copy of the Linear Programming Tool by clicking Here.