Dr. Young, of Young and Associates, LLP, is examining how overhead costs behave as a function of monthly physician contact hour

How to calculate the actual cost at 150 and 400 hours?

Dr. Young, of Young and Associates, LLP, is examining how overhead costs behave as a function of monthly physician contact hours billed to patients. The historical data are as follows 囲(Click the icon to view the data.) Read the requirements.

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Dr. Young, of Young and Associates, LLP, is examining how overhead costs behave as a function of monthly physician contact hours billed to patients. The historical data are as follows 囲(Click the icon to view the data.) Read the requirements.

Expert Answer

 

First we find the cost function using the 200 and 300 physical contact hrs

Let the linear equation is y=a+bx

Y=Total overhead cost

a=fixed overhead cost

x= no of physical hrs

105000=a+200b

125000=a+300b

Solving we get b=200 and a=65000

The linear function is y=65000+200x

For 150 hrs the cost is=65000+(150*200)=95000

For 400 hrs the cost is =65000+(400*200)=145,000

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