The function E sold. Find a) the profit when 75 units are sold + 1900z 3000 gives the profit when a units of a certain product are 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 E sold. Find a) the profit when 75 units are sold + 1900z 3000 gives the profit when a units of a certain product are 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

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

The function P(x) = -4.75x² + 1900x
sold. Find
a) the profit when 75 units are sold
3000 gives the profit when a units of a certain product are
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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Step 1: Define profit.

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Step 2: Calculate profit when 75 units are sold.

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Step 3: Calculate average profit per unit.

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Step 4: Calculate the rate of change in profit.

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Step 5: Calculate the rate of change in profit when units sold increases.

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Step 6: Calculate the number of units.

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