Question

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 1

I could have sworn I helped you with this yesterday.

Answer 2

You can't say this one is different.

Answer 3

I don't think you did? I don't remember having a problem like this ?

Answer 4

Hang on a minute.

Answer 5

ok.

Answer 6

I don't know how you managed to delete those questions you posted yesterday.

Answer 7

I didn't , I don't even know how to delete them ?

Answer 8

If we let:
a = number of type A computers
b = number of type B computers

Then we can produce the following equations:

Amount of Computers
a + b ≤ 120

Cost of Computers:
C(a,b) = 237a + 122b

Profit from computers:
22a + 19b ≥ 2400

So now we take the amount equation and the profit equation and solve for a and b:

a + b ≤ 120
22a + 19b ≥ 2400

Multiply the first equation by 22 to get:
22a + 22b ≤ 2640
22a + 19b ≥ 2400

Isolate 22a in both equations:
22a ≤ 2640 - 22b
22a ≥ 2400 - 19b

Now set:

22a ≤ 22a

2400 - 19b ≤ 2640 - 22b

Place like terms on the same side:
22b - 19b ≤ 2640 - 2400
3b ≤ 240
b ≤ 240/3
b ≤ 80

Thus a ≤ 40

since we know that a + b ≤ 120

Answer 9

That's the same solution I typed up yesterday.

Answer 10

That's why I was able to post it so quickly

Answer 11

Thus that proves the question was posted yesterday

Answer 12

Furthermore, since a = 40 and b = 80, we can find the total cost:

C(a,b) = 237a + 122b
C(40,80) = 237(40) + 122(80) = 19,240

Answer 13

I do remember that . But, I swear I didn't delete anything ? and so you mean to say my teacher gave me the same question for yesterday & today ? lol

Answer 14

After further review, it appears that someone else must have posted the same question.

Answer 15

An @MeganDarling

Answer 16

oh , but is it even possible to delete questions you have asked ?

Answer 17

http://openstudy.com/users/megandarling#/users/megandarling/asked

Answer 18

No, not anymore

Answer 19

However, it is possible to alter your question.

Answer 20

Oh , well thank you for helping me again .

Answer 21

hi? haha

Answer 22

hey , lol . are you in connections acad. ?