Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = – 1.5x? gives the profit when they build and sell x cabinet units. + 825x – 9000 Find a) the profit when 80 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 80 units are sold dollars per unit

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Charles 'n Marge sell custom-build cabinet units for motor
homes. The function P(x) = – 1.5æ? + 825x – 9000
gives the profit when they build and sell x cabinet units.
Find
a) the profit when 80 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 80 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)
units
Transcribed Image Text:Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = – 1.5æ? + 825x – 9000 gives the profit when they build and sell x cabinet units. Find a) the profit when 80 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 80 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) units
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