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? Possible answers:
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

2.A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y – 900. The production of y can exceed x by no more than 200 units. Moreover, production levels are limited by the formula x + 2y ≤ 1600. What production levels yield maximum profit?
x = 400; y = 600
x = 0; y = 0
x = 1,600; y = 0
x = 0; y = 200

Answer 2

please help you guys :/ I really need it.

Answer 3

I've seen this question before.

Answer 4

:o oh haha? Well it must have been someone from my same school then I suppose

Answer 5

But I really need help I've been asking these same questions for about 3 days and no one has helped :/

Answer 6

Okay, hang on

Answer 7

Thanks (:

Answer 8

Hmm :o I'll wait longer haha these aren't easy questions!

Answer 9

it's alright thanks for taking the time (:

Answer 10

Man..I would have taken like a year to do it then O.o

Answer 11

it's alright haha you don't have to do the second one if it's going to take you too long x.x I don't wanna waste more of your time haha I feel bad, like other people need you :o

Answer 12

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

Answer 13

So hmm, would it be 40 of type A and 80 of B ? x.x I'm just sorta guessing here

Answer 14

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 15

er man, I'm terrible at this..

Answer 16

Wow you figured it out

Answer 17

oh did I O.o

Answer 18

That seemed so long and complicated x.x

Answer 19

I'm trying to figure out what you did, lol

Answer 20

I already posted my steps

Answer 21

I just guessed to be honest I'm kind of a lucky guesser x.x

Answer 22

I think you did some plug and play to figure it out. You already had answer choices.

Answer 23

I really should learn how to do it though since I can't guess right every time haha

Answer 24

I, on the other hand, figured it out the hard way. It was very toilsome.

Answer 25

I really didn't lol I just sat and stared at the answers for while.. x.x

Answer 26

After trying and failing miserably, But I do think there's a quicker way :/ Just can't think of what it is at all :/

Answer 27

Believe it or not, what I posted IS the easy way. Good luck finding an easier way.

Answer 28

Haha well your really good at math and I'm super jealous >.< But I appreciate the work!

Answer 29

oh goodness... haha yeh I guess, so how shall I go about this second question?

Answer 30

Well from looking at the answers, it will be either A or D. And if I had to guess, I would guess A

Answer 31

Matter of fact, I'm just going to say the answer is A

Answer 32

without doing any work

Answer 33

Your guess is better than mine haha! I'll try it I suppose .

Answer 34

Graph the system of constraints and find the value of x and y that maximize the objective function.


Objective function: C = 7x – 3y


(2.5, 2.5)
(0, 2)
(0, 0)
(5, 0)

Answer 35

Any ideas on this one? It's the last one I have no idea about :/ ?

Answer 36

Well basically we have to find the coordinates the yield the maximum value of C. This is an easy one too.

Answer 37

All you have to do is just plug the values into the formula

Answer 38

There's one obvious one that works

Answer 39

c'mon Megan, think outside the box. Which set of coordinates can you plug into the function to yield the highest value of C?

Answer 40

Sorry I was in the shower O.o

Answer 41

Nothing is ever easy for me :P Math is like a foriegn language to me :/

Answer 42

The...first one lol?

Answer 43

er the 4th one ... erm, I'm so dumb x.x

Answer 44

You must be doing something now lol...

Answer 45

Yes, it is the 4th one. (5,0)

Answer 46

ah, that's what I thought :P But I just didn't know for sure x.x I didn't really give that question much thought I guess haha