Question

When planning his crops, Farmer Julie knows that her 25 acres can support oranges and pears. She wants to make $7,500 from her crops. She can make $2,050 per acre of oranges (the variable o) and $2,000 per acre of pears (the variable p). Which equation below would be a constraint in her system of equations?

2,050o - 2,000p = 7,500
2,050o + 2,000p = 7,500
o - p = 25
o + p = 25

Answer 1

Given:
25 acres for oranges and pears
7,500 earnings from her crops
2,050 per acre of oranges
2,000 per acre of pears

o = oranges ; p = pears

o + p = 25

2,050o + 2,000p = 7,500

The constraints in her system of equation would be:

o + p = 25

because 25 acres is the maximum measure of land that Farmer Julie can plant on.

She can earn more than 7,500.