The function P(x) = - 1.5a? + 650 – 7000 gives the profit when æ units of a certain product are sold. Find a) the profit when 75 units are sold dollars b) the average profit per unit when 75 units are sold dollars per unit c) the rate that profit is changing when exactly 75 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 75 to 150. 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

The function P(x) = - 1.5a? + 650 – 7000 gives the profit when æ units of a certain product are sold. Find a) the profit when 75 units are sold dollars b) the average profit per unit when 75 units are sold dollars per unit c) the rate that profit is changing when exactly 75 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 75 to 150. 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

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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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

The function P(x) = – 1.5a? + 650x – 7000 gives the profit when z units of a certain product are sold.
Find
a) the profit when 75 units are sold
dollars
b) the average profit per unit when 75 units are sold
dollars per unit
c) the rate that profit is changing when exactly 75 units are sold
dollars per unit
d) the rate that profit changes on average when the number of units sold rises from 75 to 150.
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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