The function P(x) = 4x? + 1625x – 4500 gives the profit when x units of a certain product are sold. Find a) the profit when 55 units are sold Preview dollars b) the average profit per unit when 55 units are sold Preview dollars per unit c) the rate that profit is changing when exactly 55 units are sold Preview dollars per unit d) the rate that profit changes on average when the number of units sold rises from 55 to 110. Preview dollars per unit e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.) Preview units
The function P(x) = 4x? + 1625x – 4500 gives the profit when x units of a certain product are sold. Find a) the profit when 55 units are sold Preview dollars b) the average profit per unit when 55 units are sold Preview dollars per unit c) the rate that profit is changing when exactly 55 units are sold Preview dollars per unit d) the rate that profit changes on average when the number of units sold rises from 55 to 110. Preview dollars per unit e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.) Preview units
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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
Transcribed Image Text:The function P(x) =
4x? + 1625x – 4500 gives the
profit when x units of a certain product are sold. Find
a) the profit when 55 units are sold
Preview
dollars
b) the average profit per unit when 55 units are sold
Preview
dollars per unit
c) the rate that profit is changing when exactly 55 units
are sold
Preview
dollars per unit
d) the rate that profit changes on average when the
number of units sold rises from 55 to 110.
Preview
dollars per unit
e) The number of units sold when profit stops increasing
and starts decreasing. (Round to the nearest whole
number if necessary.)
Preview
units
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