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A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day...

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Question

Basic Math

A manufacturer of tennis rackets finds that the total costC(x) (in dollars) of manufacturing xrackets/day is given by

C(x) = 900 + 3x + 0.0003x2.

Each racket can be sold at a price of p dollars, wherep is related to x by the demand equation

p = 5 − 0.0002x.

If all rackets that are manufactured can be sold, find the dailylevel of production that will yield a maximum profit for themanufacturer. Hint: The revenue is

R(x) = px,

and the profit is

P(x) = R(x) − C(x).

How Many Rackets?

[Hint:10,000 rackets is incorrect]

Answer & Explanation Solved by verified expert
3.5 Ratings (331 Votes)
Step 1we know that revenue is Rx pxwe have p 5 00002xHencewe know that profit is Px Rx Cxwe haveHenceStep 2we    See Answer
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