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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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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
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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