(Answered)-Rienzi Farms grows sugar cane and soybeans on its 500 acres of - (2025 Updated Original AI-Free Solution

Question

Rienzi Farms grows sugar cane and soybeans on its 500 acres of land. An acre of soybeans brings a $1000 contribution to profit; an acre of sugar cane has a contribution of $2000. Because of a government program no more than 200 acres may be planted in soybeans. During the planting season 1200 hours of planting time will be available. Each acre of soybeans requires 2 hours, while each acre of sugar cane requires 5 hours. The company seeks maximum contribution (profit) from its planting decision. Formulate the problem as a linear program (define decision variables, objective function and constraints).

4B. Solve the following problem using Solver. Describe the solution. Save Sensitivity report.

Max Profit = X1 + 2X2

Subject to:

X1 + 2.5 X2 ?? LE 600

X1 + X2 ??LE 500

X2 GE 300

X1 GE 0

X2 GE 0

4C. If the first constraint went up by 10, how much the profit will change?