Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x = 300, the marginal profit is $ (b) When x=2000, the marginal profit is $ (c) When x=6000, the marginal profit is $ (d) When x = 12,000, the marginal profit is (Round to the nearest integer as needed.) (Round to the nearest integer as needed.) (Round to the nearest integer as needed.) (Round to the nearest integer as needed.)

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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18.
The profit in dollars from the sale of x expensive watches is P(x) = 0.06x²-3x+7x0.4-5100.
Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000.
(a) When x = 300, the marginal profit is $
(b) When x=2000, the marginal profit is $
(c) When x = 6000, the marginal profit is $
(d) When x = 12,000, the marginal profit is $
(Round to the nearest integer as needed.)
(Round to the nearest integer as needed.)
.(Round to the nearest integer as needed.)
(Round to the nearest integer as needed.)
19. Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented
by the function S(t) = 100-500t, where t represents time in years. Find the rate of change of sales for the following
number of years.
a. 4 years
The rate of change in sales after 4 years is
(Type an integer or decimal rounded to the nearest thousandth as needed.)
b. 9 years
The rate of change in sales after 9 years is
(Type an integer or decimal rounded to the nearest thousandth as needed.)
Transcribed Image Text:18. The profit in dollars from the sale of x expensive watches is P(x) = 0.06x²-3x+7x0.4-5100. Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x = 300, the marginal profit is $ (b) When x=2000, the marginal profit is $ (c) When x = 6000, the marginal profit is $ (d) When x = 12,000, the marginal profit is $ (Round to the nearest integer as needed.) (Round to the nearest integer as needed.) .(Round to the nearest integer as needed.) (Round to the nearest integer as needed.) 19. Often sales of a new product grow rapidly at first and then level off with time. This is the case with the sales represented by the function S(t) = 100-500t, where t represents time in years. Find the rate of change of sales for the following number of years. a. 4 years The rate of change in sales after 4 years is (Type an integer or decimal rounded to the nearest thousandth as needed.) b. 9 years The rate of change in sales after 9 years is (Type an integer or decimal rounded to the nearest thousandth as needed.)
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