Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = 2x² + 700x - 7500 gives the profit when they build and sell a cabinet units. Find a) the profit when 90 units are sold dollars b) the average profit per unit as a function of a dollars per unit c) the rate that profit is changing when exactly 90 units are sold dollars per unit to maximize profit Bound to the nearest whole number
Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = 2x² + 700x - 7500 gives the profit when they build and sell a cabinet units. Find a) the profit when 90 units are sold dollars b) the average profit per unit as a function of a dollars per unit c) the rate that profit is changing when exactly 90 units are sold dollars per unit to maximize profit Bound to the nearest whole number
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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Question
![Charles 'n Marge sell custom-build cabinet units for motor homes. The function
P(x) 2x² + 700x 7500 gives the profit when they build and sell a cabinet units. Find
a) the profit when 90 units are sold
dollars
b) the average profit per unit as a function of x
dollars per unit
c) the rate that profit is changing when exactly 90 units are sold
dollars per unit
d) the number of units that must be sold in order to maximize profit. Round to the nearest whole number if
necessary:
units
e) the maximum profit possible (using your whole number answer from part d)
dollars](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7ca268c-82bb-4cad-a1f0-8b5f1d6920cf%2F04c37222-9c43-4e25-a8c7-c76f930a25b7%2Fzig2dy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Charles 'n Marge sell custom-build cabinet units for motor homes. The function
P(x) 2x² + 700x 7500 gives the profit when they build and sell a cabinet units. Find
a) the profit when 90 units are sold
dollars
b) the average profit per unit as a function of x
dollars per unit
c) the rate that profit is changing when exactly 90 units are sold
dollars per unit
d) the number of units that must be sold in order to maximize profit. Round to the nearest whole number if
necessary:
units
e) the maximum profit possible (using your whole number answer from part d)
dollars
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