Question

Your computer supply store sells two types of ink jet printers. The first, type a, costs $237 and you make a $22 profit on each one. The second, type b, costs $122 and you make a $19 profit on each one. You can order no more than 120 printers this month, and you need to make at least $2,400 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost?

Answer 1

Let the number Type a ink printer be x

The number Type b ink will be (120 - x)

Cost of Type a printer = $237 (Given)

Profit of Type a printer = $22

Cost of Type b printer = $122 (Given)

Profit of Type b  printer = $19

Solve x:

Given that the profit must be at least $2400

22x + 19(120 - x) ≥ 2400

22x + 2280 - 19x  ≥ 2400

3x + 2280 ≥ 2400

3x ≥ 120

x ≥ 40

Find the minimum number of printers to order:

Type A = x = 40

Type B = 120 - x = 120 - 40 = 80

Answer: 40 Type A printer and 80 Type B printer