A manufacturer can produce at most 110 units of a certain product each year. The demand equation for the product is p=q2−100q+2400 and the​ manufacturer's average-cost function is c=23q2−45q+10,000q. Determine the​ profit-maximizing output q and the corresponding maximum profit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A manufacturer can produce at most

110

units of a certain product each year. The demand equation for the product is

p=q2−100q+2400

and the​ manufacturer's average-cost function is

c=23q2−45q+10,000q.

Determine the​ profit-maximizing output q and the corresponding maximum profit.

 

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