Your Computer Supply Store Sells

Algebra -> Linear-equations -> SOLUTION: Your computer-supply store sells ii types of inkjet printers. The first, blazon A, costs $237 and you brand a $22 profit on each ane. The second, type B, costs $122 and you brand a Log On

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Question 665796: Your computer-supply store sells ii types of inkjet printers. The first, blazon A, costs $237 and you make a $22 turn a profit on each i. The second, type B, costs $122 and yous make a $xix profit on each one. Y'all can society no more than than 120 printers this calendar month, and you need to make at least $ii,400 turn a profit on them. If you must social club at to the lowest degree 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
forty of blazon A : 80 of blazon B
51 of type A : 69 of type B
80 of type A : 40 of type B

Reply 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 + nineteen(120-A) ≥ 2400
22A + 2280 - 19a ≥ 2400
22A - 19A ≥ 2400 - 2280
3A ≥ 120
A ≥ 40
Therefore,
A ≥ xl
.....
To minimize cost, order
80 of blazon B and 40 of type A

This makes sense as type A costs more than B,
then you would desire to social club less of the more expensive blazon.
Opt for the maximum of B and the minimum of A.
.....................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
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