Question

Your computer supply store sells two types of inkjet printers. The first, type A, costs $241 and you make a $25 profit on each one. The second, type B, costs $103 and you make a $11 profit on each one. You can order no more than 140 printers this month, and you need to make at least $2660 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

Answer:The company Should order 80 of type A and 60 of type B

Explanation:

Step 1

Let A represent the number of the first printer

and B, the number of the second printer

Now, the profit must at least be $2660, giving us

25A +11B ≥ $2,660

and no more than 140 printers should be should giving us

A+ B ≤140

step 2

25A +11B ≥ $2,660....... eqn 1

A+ B ≤140 .......egn 2

Substitute the second equation into the first and solve for A and B

We have that from the second equation

A+ B ≤140

A= 140-B

25(140-B) +11B ≥ 2,660

3500-25B+11B ≥2660

3500-2660≥25B-11B

840 ≥ 14B

840/14≥ 14B/14

60≥B

Therefore,

B ≤ 60

Solve for A

A+ B ≤140

B= 140-A

25A +11B ≥ $2,660.

25A+ 11(140-A) ≥ 2660

25A+1540-11A ≥2660

25A-114 ≥2660-1540

14A ≥1120

14A/14 ≥ 1120 /`14

A ≥ 80

Therefore The company Should order 80 of type A and 60 of type B