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91Ó°ÊÓ

Average Cost Suppose that the daily cost Cof manufacturing bicycles is given by C(x)=80x+5000. Then the average daily cost C¯is given by C¯(x)=80x+5000x. How many bicycles must be produced each day for the average daily cost to be no more than $ 100?

Short Answer

Expert verified

At least 250 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+5000x

02

Determine the number of bicycles must be produced each day for the average daily cost to be no more than $ 100.

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

C(x)≤10080x+5000x≤10080x+5000≤100x5000≤20xx≥250

03

Write the conclusion

At least 250 bicycles must be produced each day for the average daily cost to be no more than $ 100.

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