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A furniture store determines that in order to sell x tables, the price per table must be   p(x)=450−4x. The company also determines that the total cost of producing x tables is given by  C(x)=3000+8x2. a) Find the profit function P(x)=R(x)−C(x). Answer in the form: P(x)=Ax2+Bx+C. A= B= C= b) Evaluate the total revenue function R(x) when x=15.  R(15)= c) Evaluate the total profit function P(x) when x=15.  P(15)= d) Find the number of tables x for which total profit is a maximum. Write your answer up to two decimals places.    xmax=

A furniture store determines that in order to sell x tables, the price per table must be   p(x)=450−4x. The company also determines that the total cost of producing x tables is given by  C(x)=3000+8x2. a) Find the profit function P(x)=R(x)−C(x). Answer in the form: P(x)=Ax2+Bx+C. A= B= C= b) Evaluate the total revenue function R(x) when x=15.  R(15)= c) Evaluate the total profit function P(x) when x=15.  P(15)= d) Find the number of tables x for which total profit is a maximum. Write your answer up to two decimals places.    xmax=

Algebra for College Students
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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A furniture store determines that in order to sell x tables, the price per table must be  

p(x)=450−4x.

The company also determines that the total cost of producing x tables is given by 

C(x)=3000+8x2.

a) Find the profit function P(x)=R(x)−C(x). Answer in the form: P(x)=Ax2+Bx+C.

A=

B=

C=

b) Evaluate the total revenue function R(x) when x=15.  R(15)=

c) Evaluate the total profit function P(x) when x=15.  P(15)=

d) Find the number of tables x for which total profit is a maximum. Write your answer up to two decimals places.

 

 xmax=

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