The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by P(x) = 3x - 0.6x In x. Complete parts (a) through (c). a) Find the marginal profit, P'(x). P'(x) = 3+0.6( In x+ 1) b) Find P'(14), and explain what this number represents. P'(14) = (Type an integer or decimal rounded to the nearest thousandth as needed.) What does P'(14) represent? O A. The additional cost, in thousands of dollars, to produce 14,000 candles. OB. The additional cost, in thousands of dollars, to produce a thousand candles once 14,000 candles have already been sold. OC. The additional profit, in thousands of dollars, for selling a thousand candles once 14,000 candles have already been sold. O D. The additional profit, in thousands of dollars, when 14,000 candles are sold. c) How many thousands of candles should be sold to maximize profit? Click to select your answer(s).

The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by P(x) = 3x - 0.6x In x. Complete parts (a) through (c). a) Find the marginal profit, P'(x). P'(x) = 3+0.6( In x+ 1) b) Find P'(14), and explain what this number represents. P'(14) = (Type an integer or decimal rounded to the nearest thousandth as needed.) What does P'(14) represent? O A. The additional cost, in thousands of dollars, to produce 14,000 candles. OB. The additional cost, in thousands of dollars, to produce a thousand candles once 14,000 candles have already been sold. OC. The additional profit, in thousands of dollars, for selling a thousand candles once 14,000 candles have already been sold. O D. The additional profit, in thousands of dollars, when 14,000 candles are sold. c) How many thousands of candles should be sold to maximize profit? Click to select your answer(s).

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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