19. The owner of a leather craft shop has determined that he can sell x attaché cases if the price is p = D(x)= 46+0.25x dollars. The total cost for these cases is C(x)=0.15x² +6x +190 dollars. a. Find the revenue function R(x). b. Find the profit function P(x). Find P(25), P(30), and P(40). d. Find the marginal profit function P'(x). e. Find P'(25), P'(30), and P'(40). c.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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19. The owner of a leather craft shop has determined that he can sell x attaché cases
if the price is p= D(x) = 46+0.25x dollars. The total cost for these cases is
C(x)=0.15x² +6x+190 dollars.
a. Find the revenue function R(x).
b. Find the profit function P(x).
c. Find P(25), P(30), and P(40).
d. Find the marginal profit function P'(x).
Find P'(25), P'(30), and P'(40).
Transcribed Image Text:19. The owner of a leather craft shop has determined that he can sell x attaché cases if the price is p= D(x) = 46+0.25x dollars. The total cost for these cases is C(x)=0.15x² +6x+190 dollars. a. Find the revenue function R(x). b. Find the profit function P(x). c. Find P(25), P(30), and P(40). d. Find the marginal profit function P'(x). Find P'(25), P'(30), and P'(40).
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