Lynbrook West, an apartment complex, has 150 two-bedroom units. The monthly profit (in dollars) realized from renting x two-bedroom apartments is P(x) = - 10x + 1780x – 40,000 (a) Find the marginal profit function. (b) Compute the marginal profit when x= 100.
Lynbrook West, an apartment complex, has 150 two-bedroom units. The monthly profit (in dollars) realized from renting x two-bedroom apartments is P(x) = - 10x + 1780x – 40,000 (a) Find the marginal profit function. (b) Compute the marginal profit when x= 100.
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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![Lynbrook West, an apartment complex, has 150 two-bedroom units. The monthly profit (in dollars)
realized from renting x two-bedroom apartments is
P(x) = - 10x + 1780x – 40,000
(a) Find the marginal profit function.
(b) Compute the marginal profit when x= 100.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d025c65-50ae-4044-a97e-d168cf2c65f4%2Fea851a41-71a2-4d84-beee-7c25fa49e615%2Faz2d8v_processed.png&w=3840&q=75)
Transcribed Image Text:Lynbrook West, an apartment complex, has 150 two-bedroom units. The monthly profit (in dollars)
realized from renting x two-bedroom apartments is
P(x) = - 10x + 1780x – 40,000
(a) Find the marginal profit function.
(b) Compute the marginal profit when x= 100.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Given,
a).
Marginal profit function is the derivative of the profit function.
So differentiating profit function with respect to x, we get
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