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+8x^2. a) Find the profit function P(x)=R(x)−C(x). Answer in the form: P(x)=Ax^2+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)=
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+8x^2. a) Find the profit function P(x)=R(x)−C(x). Answer in the form: P(x)=Ax^2+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)=
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Question
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+8x^2.
a) Find the profit function P(x)=R(x)−C(x). Answer in the form: P(x)=Ax^2+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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