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
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Author:James Stewart
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Chapter1: Functions And Models
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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.
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
Given,

Px=-10x2+1780x-40000

a).

Marginal profit function is the derivative of the profit function. 

So differentiating profit function with respect to x, we get

P'x=-102x+17801-0=-20x+1780

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