Question

A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs $615 per acre to produce. He has $187,500 to invest this season. Which system represents this scenario?

Answer 1

The system that represent the scenario is

`x+y\leq500`

`215x+615y\leq 187,500`

The solution in the attached figure

Explanation:

Let

x-----> the acres of corn

y----> the acres of cotton

we know that

`x+y\leq500` ------> inequality A

`215x+615y\leq 187,500` -----> inequality B

using a graphing tool

the solution is the shaded area in the attached figure