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Suppose that R(x) 50x-.4x^2 and C(x) 5(x)+15 are revenue

Resolved Question:

Suppose that R(x) =50x-.4x^2 and C(x) =5(x)+15 are revenue and cost functions,
respectively, where x is the number of units sold. Find the marginal profit when 200 units are sold.
Submitted: 6 years ago.
Category: Math Homework
Expert:  abozer replied 6 years ago.

abozer :

Hi,

abozer :

Is it 4 x^2 or .4x^2 ?

abozer :

Is there a point before the number 4?

JACUSTOMER-x6c1d7r2- :

yes

abozer :

ok.

abozer :

Profit is,

abozer :

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

abozer :

Marginal profit is,

abozer :

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

abozer :

= (50 - .8x) - 5

abozer :

= 45 - .8x

abozer :

Substitute 200 to get the final answer,

abozer :

= 45 - .8(200)

abozer :

= -115

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