You want no more than 7 boxes of black pens and no more than 6 boxes of red pens. You want to minimize the cost to your business. What is the objective function for this situation?

Question

You are in charge of buying office supplies for your business. Your workers use red and black pens. Red pens cost $5 per box and black pens cost $3 per box. You need at least 10 boxes of pens. You want no more than 7 boxes of black pens and no more than 6 boxes of red pens. You want to minimize the cost to your business.

 

What is the objective function for this situation?

Answer 1

x is number of black pens and y is number of red pens

x ≤ 7, y ≤ 6

X + y ≥ 10

x ≥ 0, y ≥ 0

Objective function: min C(x, y) = 3x + 5y