A farmer has 100 acres of land to plant tomatoes, radishes, and lettuce. She can sell tomatoes at $2.00 per lb., radishes at $2.00 per lb., and $1.00 for lettuce heads. The fertilizer costs are $50.00 for tomatoes and radish each and $25.00 for lettuce. A total of 400 man days of labor are available at $20.00 per man day. The other variable costs and labor costs are tabulated below.
Tomato Radish Lettuce
|
Price per lb
|
2
|
2
|
1
|
|
Yield per acre
|
2,000
|
1,000
|
3,000
|
|
Fertilizer cost
|
50
|
50
|
25
|
|
Labor days required
|
5
|
5
|
4
|
Formulate this problem as an LP model to maximize the profit. Also find the input demand function for labor and land constraints.