Question

When planning his crops, Farmer Joe knows that his 5 acres can support corn and strawberries. He wants to make $5,500 from his crops. He can make $1,000 per acre of corn (the variable c) and $1,500 per acre of strawberries (the variable s). Which equation below would be a constraint in his system of equations?a. c + s = 5.

b. c − s = 5.c. 1,500c + 1,000s = 5,500.d. 1,500s − 1,000c = 5,500.

Answer 1

Option a) c + s = 5.

Explanation:

Let variable c represent acre of corn crop and variable s represent acre of strawberries crop.

5 acres can support corn and strawberries.

Thus, this can be expressed with the help of equation.

`c + s = 5`

Farmer wants to make $5,500 from his crops.

He can make $1,000 per acre of corn and $1,500 per acre of strawberries.

This can be written as:

`1000c + 1500s = 5500`

We have to find the constraint for the given system.

A constraint is something that limits or controls what we want to do. Here, the amount of land is limited and act as a constraint for the given situation.

Thus, the constraint for the given system is

Option a) c + s = 5.