4-25. A gardener has 1000 square yards of land available to devote to cash crops. Profits expected by crop are: $20 per square yards for lima beans $10 per 10 square yards for spinach and $15 per 10 square yards for zucchini.
The gardener has $200 available for investment. Total preparation cost for 10 square yards are $4 for lima beans $2 for spinach and $1 for zucchini. The gardener has 200 hours available for gardening.
Each 10 square yards requires 2 hours for lima beans 1 hour for spinach and 3 hours for zucchini.
a. Formulate a linear programming model to determine the optima areas in square yards for each of the three crops.