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Average Cost See Problem 77. Suppose that the government imposes a \( 1000 per day tax on the bicycle manufacturer so that the daily cost Cof manufacturing xbicycles is now given by C(x)=80x+6000. Now the average daily cost C¯is given by C¯(x)=80x+6000x. How many bicycles must be produced each day for the daily average cost to be no more than \) 100 ?

Short Answer

Expert verified

At least 300 objects must be produced each day.

Step by step solution

01

Given information

The average expenses for a day are given by:

C¯(x)=80x+6000x

02

Determine the number of bicycle

Write the inequality so that the average expenses are less than or equal to $ 100 :

C¯(x)≤10080x+6000x≤10080x+6000≤100x6000≤20x300≤x

03

Write the conclusion.

At least 300 bicycles must be produced each day for the daily average cost to be no more than $ 100 .

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