math word problem

Question

The Yellow Pencil Company sells the best pencils ever made.  If the cost of producing x hundred pencils is given by 

C(x)=0.4x²-29x+44 and if the revenue generated from the sale of x hundred pencils is R(x)=-0.6x²+19x. Money is in thousands of dollars.  Show all your work find the profit function, P(x).

Answer 1

Profit is revenue minus cost.

P(x) = R(x) - C(x)

 

Simply line up the terms in each function, and subtract, to get P(x):

 

(-0.6x² + 19x)

-(0.4x² - 29x + 44)

 

-0.6x² + 19x

+0.4x² + 29x - 44

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-0.2x² + 48x - 44 = P(x)