Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by P(x) =2x-0.3x ln x. a) Find the marginal profit, P'(x). b) Find P'(150), and explain what this number represents. c) How many candles (in thousands) should be sold in order to achieve a marginal profit of $750 per thousand candles?
Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by P(x) =2x-0.3x ln x. a) Find the marginal profit, P'(x). b) Find P'(150), and explain what this number represents. c) How many candles (in thousands) should be sold in order to achieve a marginal profit of $750 per thousand candles?
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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Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by
P(x) =2x-0.3x ln x.
a) Find the marginal profit, P'(x).
b) Find P'(150), and explain what this number represents.
c) How many candles (in thousands) should be sold in order to achieve a marginal profit of $750 per thousand candles?
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