Consider a dress manufacturing company, where the cost of producing x amount of suits is: C(x)=841+18x^0.5 At which rate does the averege cost change after 500 have been produced?

Tammy Todd

Tammy Todd

Answered question

2021-02-01

Consider a dress manufacturing company, where the cost of producing x amount of suits is:
C(x)=841+18x0.5
At which rate does the averege cost change after 500 have been produced?

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-02-02Added 108 answers

Take the derivative of the equation to find the rate of change of the equation:
C(x)=(12)×18x121
Simplify:
C(x)=9x12
Substitute x=500:
C(500)=9[500)12]
simplify:
C(500)0.4025
=40.25%

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