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 2 years ago
Your computersupply 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
 2 years ago
Your computersupply 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

This Question is Closed

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.42.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

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4please help you guys :/ I really need it.

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4I've seen this question before.

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4:o oh haha? Well it must have been someone from my same school then I suppose

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4But I really need help I've been asking these same questions for about 3 days and no one has helped :/

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4Hmm :o I'll wait longer haha these aren't easy questions!

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4it's alright thanks for taking the time (:

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4Man..I would have taken like a year to do it then O.o

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4it'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

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4If 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

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4So hmm, would it be 40 of type A and 80 of B ? x.x I'm just sorta guessing here

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4So 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

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4er man, I'm terrible at this..

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4That seemed so long and complicated x.x

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4I'm trying to figure out what you did, lol

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4I just guessed to be honest I'm kind of a lucky guesser x.x

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4I think you did some plug and play to figure it out. You already had answer choices.

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4I really should learn how to do it though since I can't guess right every time haha

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4I, on the other hand, figured it out the hard way. It was very toilsome.

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4I really didn't lol I just sat and stared at the answers for while.. x.x

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4After trying and failing miserably, But I do think there's a quicker way :/ Just can't think of what it is at all :/

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4Believe it or not, what I posted IS the easy way. Good luck finding an easier way.

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4Haha well your really good at math and I'm super jealous >.< But I appreciate the work!

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4oh goodness... haha yeh I guess, so how shall I go about this second question?

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4Well from looking at the answers, it will be either A or D. And if I had to guess, I would guess A

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4Matter of fact, I'm just going to say the answer is A

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4Your guess is better than mine haha! I'll try it I suppose .

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4Graph 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)

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4Any ideas on this one? It's the last one I have no idea about :/ ?

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4Well basically we have to find the coordinates the yield the maximum value of C. This is an easy one too.

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4All you have to do is just plug the values into the formula

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4There's one obvious one that works

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4c'mon Megan, think outside the box. Which set of coordinates can you plug into the function to yield the highest value of C?

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4Sorry I was in the shower O.o

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4Nothing is ever easy for me :P Math is like a foriegn language to me :/

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4The...first one lol?

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4er the 4th one ... erm, I'm so dumb x.x

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4You must be doing something now lol...

Hero
 2 years ago
Best ResponseYou've already chosen the best response.4Yes, it is the 4th one. (5,0)

MeganDarling
 2 years ago
Best ResponseYou've already chosen the best response.4ah, 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
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