Your computer-supply sore cells two types of inkjet 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?

69 of type A: 51 of type B
40 of type A: 80 of type B
51 of type A: 69 of type B
80 of type A: 40 of type B

1 answer

To minimize the cost, you should order 80 of type A printers and 40 of type B printers.

Here's the calculation:

For 80 type A printers:
Cost = 80 * $237 = $18,960
Profit = 80 * $22 = $1,760

For 40 type B printers:
Cost = 40 * $122 = $4,880
Profit = 40 * $19 = $760

The total cost would be $18,960 + $4,880 = $23,840.
The total profit would be $1,760 + $760 = $2,520.

Since the total profit exceeds the required $2,400, this is a valid combination.