Question

A manufacturer produces two models of toy airplanes. It takes the manufacturer 20 minutes to assemble model A and 10 minutes to package it. It takes the manufacturer 15 minutes to assemble model B and 12 minutes to package it. In a given week, the total available time for assembling is 1800 minutes, and the total available time for packaging is 1080 minutes. Model A earns a profit of $10 for each unit sold and model B earns a profit of $8 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the pro

Answer 1

*profit for the given week?

Answer 2

PLEASE HELP

Answer 3

I got 90 for Model A and 0 for Model B

Answer 4

What section are you in... systems of linear inequalities?

Answer 5

Yes, I think so. I'm in an online class and usually it shows the topic up top but it doesn't for this word problem.

Answer 6

Let x = the number of model A airplanes
Let y = the number of model B airplanes

Total profit = 10x + 8y

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Answer 7

Yeah I got 90 of Model A and 0 of Model B using that formula but that just doesn't seem right at all.

Answer 8

Assembly time = 30x + 15y
Packaging time = 10x + 12y

Total time = 40x + 27y

or

1080 = 40x + 27y

Answer 9

oops... 20 minutes...
Assembly time = 20x + 15y
Packaging time = 10x + 12y

Total time = 30x + 27y

or

1080 = 30x + 27y

Answer 10

Wait would 30 and 27 be the answers to the word problem?

Answer 11

No 30 those are times in minutes... give me a few minutes.

Answer 12

Okay thank you

Answer 13

" total available time for assembling is 1800 minutes, and the total available time for packaging is 1080 minutes."

ok...

1800 = 20x + 15y <--- assembly time
1080 = 10x + 12y <--- packaging time

Solve this system...
http://www.wolframalpha.com/input/?i=solve {1800+%3D+20x+%2B+15y%2C+1080+%3D+10x+%2B+12y}

x = 60 model A's and y = 40 model B's

Not sure about this because I did not use the profit information??

Answer 14

Alright thanks for trying it though!

Answer 15

Linear programming! Check this link... is this what you are doing?

http://www.purplemath.com/modules/linprog.htm

1800 < 20x + 15y
1080 < 10x + 12y
0 < 10x + 8y <--- profit greater than zero

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