Linear Programing Questions

Question

Problem 3

Farmer Billybob has up to 10 acres to plant in either wheat and/or rye. But he has to plant at least 7 acres. However, he has up to $1200 to spend, and each acre of wheat cost $200 to plant and each acre of rye cost $100 to plant.

If the profit is $500 per acre of wheat and $300 per acre of rye how many acres of each should Billybob plant to maximize profit? and what is the profit the farmer can realize.

including

Identify your variable.

create your functions formula with these variables.

Write your system of inequalities that make up your constraints.

Graph your system of inequalities.

Show your polygonal feasibility solutions set.

Identify the corner or vertex point of your polygonal set.

use these points in your functions formula to find the maximum value.

give your answer completely in sentences.

Please explain step by step and graphing.

Answer 1