Question

when planning his crops, farmer tim knows that his 7 acres can support peas and carrots. he wants to make $7,000 from his crops. he can make $2,000 per acre of peas (the variable p) and $1,000 per acre of carrots (the variable c). which equation below would be a constraint in his system of equations? a. 2,000p 1,000c = 7,000 b. 2,000p − 1,000c = 7,000 c. p c = 7 d. c − p = 7

Answer 1

Given:
7 acres planted with peas and carrots.

peas represented by p. carrots represented by c.

p + c = 7

2,000 per acre of peas 
1,000 per acre of carrots
goal income: 7,000

2000p + 1000c = 7000

The constraint in his system of equation would be: p + c = 7