SOLUTION: A little help please!?... A company manufactures laptop computers that sells to retailers at $600. The cost of making x of these laptops for a month is given by the cost functio

Question 424115: A little help please!?...
A company manufactures laptop computers that sells to retailers at $600. The cost of making x of these laptops for a month is given by the cost function C(x) = 350x + 215,000.
A. Find the function R(x) that gives the revenue from selling x laptops. (Your answer should be a linear function R(x) = ....)
B. Find the profit function P(x) for the above situation
C. Find the break even point for the above situation. That is, how many laptops must they sell per month to break even?
Thank you in advance!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A company manufactures laptop computers that sells to retailers at $600.
The cost of making x of these laptops for a month is given by the cost function
C(x) = 350x + 215,000.
:
A. Find the function R(x) that gives the revenue from selling x laptops. (Your answer should be a linear function R(x) = ....)
That would be just be the number sold for $600
R(x) = 600x
:
B. Find the profit function P(x) for the above situation
The profit is: Revenue - the cost:
P(x) = 600x - (350x+215000)
Can be simplified
P(x) = 600x - 350x - 215000)
P(x = 250x - 215000
:
C. Find the break even point for the above situation.
That is, how many laptops must they sell per month to break even?
Break even occurs when: Rev = cost
600x = 350x + 215000
600x - 350x = 215000
250x = 215000
x =
x = 860 computers have to be sold the break even
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