The demand equation x+10p=630 where x is the number of webcams demanded when priced at unit price p dollars each. The total cost of manufacturing x webcams is given by C(x)=3x+3200 dollars. Use this information to answer the following: (A) Find P(x), the profit earned when x webcams are sold. (B) How many webcams must be sold in order for profit to be maximum? Round and label. (C) What is the optimal unit price at which these webcams should be priced in order to maximize profit. Round and label.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
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The demand equation x+10p=630 where x is
the number of webcams demanded when
priced at unit price p dollars each. The total
cost of manufacturing x webcams is given by
C(x)=3x+3200 dollars. Use this information to
answer the following:
(A) Find P(x), the profit earned when x
webcams are sold.
(B) How many webcams must be sold in order
for profit to be maximum? Round and label.
(C) What is the optimal unit price at which
these webcams should be priced in order to
maximize profit. Round and label.
Transcribed Image Text:The demand equation x+10p=630 where x is the number of webcams demanded when priced at unit price p dollars each. The total cost of manufacturing x webcams is given by C(x)=3x+3200 dollars. Use this information to answer the following: (A) Find P(x), the profit earned when x webcams are sold. (B) How many webcams must be sold in order for profit to be maximum? Round and label. (C) What is the optimal unit price at which these webcams should be priced in order to maximize profit. Round and label.
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