Question

a farmer is creating a budget for planting soybeans and wheat. planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more that $100,000 planting soybeans and wheat. Write an inequality to describe the constraints. specify what each variable represents

Answer 1

To create the inequality, we let x represent the number of acres of soybeans planted, y represent the number of acres of wheat planted, and set the constraint that the total cost of planting both crops must not exceed $100,000.

Step-by-step explanation:

To write an inequality to describe the constraints, we can start by letting x represent the number of acres planted with soybeans and let y represent the number of acres planted with wheat.

The cost of planting soybeans is $200 per acre, so the cost of planting x acres of soybeans would be 200x.

The cost of planting wheat is $500 per acre, so the cost of planting y acres of wheat would be 500y.

The total cost of planting both crops must not exceed $100,000, so the inequality can be written as: 200x + 500y ≤ 100,000.