The function P(x) = – 1.5a? + 775x – 5500 gives the profit when a units of a certain product are sold. Find a) the profit when 85 units are sold dollars b) the average profit per unit when 85 units are sold dollars per unit c) the rate that profit is changing when exactly 85 units are sold dollars per unit

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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The function P(x) = – 1.5a? + 775x – 5500 gives the profit when a units of a certain product
are sold. Find
a) the profit when 85 units are sold
dollars
b) the average profit per unit when 85 units are sold
dollars per unit
c) the rate that profit is changing when exactly 85 units are sold
dollars per unit
d) the rate that profit changes on average when the number of units sold rises from 85 to 170.
dollars per unit
e) The number of units sold when profit stops increasing and starts decreasing. (Round to the
nearest whole number if necessary.)
units
Transcribed Image Text:The function P(x) = – 1.5a? + 775x – 5500 gives the profit when a units of a certain product are sold. Find a) the profit when 85 units are sold dollars b) the average profit per unit when 85 units are sold dollars per unit c) the rate that profit is changing when exactly 85 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 85 to 170. dollars per unit e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.) units
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