Solve the linear programming model formulation in Problem 15 for the Patel brothers using the computer.
a. If the authorities allow the brothers to plant a minimum of 20 acres with onion, should they plant only 20 acres or more? Explain.
b. The brothers plan to take a loan to increase their budget. For each rupee they borrow, what is the additional profit they would make? If they borrow an additional ₹2,000, would the number of acres of tomatoes and onions they plant change?

Data From Problem 15

Patel brothers have 50 acres of farmland on the banks of River Ganges. They plan to grow tomatoes and onions. Since onions requires less water, the irrigation authority wants the brothers to cultivate at least 25 acres of land with onions. Brothers work in their farm themselves to reduce the cost of plantation. Besides, the government provides the seeds and other farming equipment for free. Even then, they need ₹500 per acre to plant tomatoes and ₹800 per acre to plant onions. The brothers have ₹30,000 now. They earn a profit of ₹6,000 from an acre of tomatoes and ₹4,000 from an acre of onions. The brothers want to know how many acres of land is to be planted with tomatoes (x₁) and onions (x₂) to maximize their revenue.