|
Question 665796: Your computer-supply store sells 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
Answer by ReadingBoosters(3246)   (Show Source):
You can put this solution on YOUR website! Given
22A + 19B ≥ 2400
A + B ≤ 120
...
Substitute the second equation into the first and solve for A and B
Solve for B
22(120-B) +19B ≥ 2400
2640 - 22B +19B ≥ 2400
2640 - 2400 ≥ 22B - 19B
240 ≥ 3B
80 ≥ B
Therefore,
B ≤ 80
...
Solve for A
22A + 19(120-A) ≥ 2400
22A + 2280 - 19a ≥ 2400
22A - 19A ≥ 2400 - 2280
3A ≥ 120
A ≥ 40
Therefore,
A ≥ 40
.....
To minimize cost, order
80 of type B and 40 of type A
This makes sense as type A costs more than B,
so you would want to order less of the more expensive type.
Opt for the maximum of B and the minimum of A.
.....................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com
|
|
|
| |
