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The function P(x) = -3.75x² +975x - 4500 gives the profit when I 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

The function P(x) = -3.75x² +975x - 4500 gives the profit when I 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

Calculus: Early Transcendentals
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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The function P(x) = -3.75x² +975x - 4500 gives the profit when I 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) = -3.75x² +975x - 4500 gives the profit when I 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
Expert Solution
Step 1: Given information regarding the question

According to Bartleby guidelines we are supposed to do the first three sub parts 

of multiple sub parts, Kindly repost for others 

Given profit function 

P left parenthesis space x space right parenthesis space equals space minus 3.75 x squared space plus space 975 x space minus space 4500

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