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?

c + s = 5
c − s = 5
1,500c + 1,000s = 5,500
1,500s − 1,000c = 5,500

Answer 1

Given:
5 acres of land for corn and strawberries.
5,500 earnings from his crops.
1,000 per acre of corn
1,500 per acre of strawberries.

c = corn ; s = strawberries

c + s = 5

1,000c + 1,500s = 5,500

The constraint in his system of equation is:

c + s = 5

Regardless of his combination, Farmer Joe is limited to only 5 acres of land for his crops.