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Nova Companys total overhead cost at various levels of activity are presented below: Month Machine-Hours Total Overhead Cost April 50,000 $ 218,100 May 40,000 $

Nova Companys total overhead cost at various levels of activity are presented below:

Month Machine-Hours Total Overhead Cost
April 50,000 $ 218,100
May 40,000 $ 189,800
June 60,000 $ 246,400
July 70,000 $ 274,700

Assume that the total overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 40,000 machine-hour level of activity is:

Utilities (variable) $ 64,000
Supervisory salaries (fixed) 57,000
Maintenance (mixed) 68,800
Total overhead cost $ 189,800

Nova Companys management wants to break down the maintenance cost into its variable and fixed cost elements.

Required:

1. Estimate how much of the $274,700 of overhead cost in July was maintenance cost. (Hint: to do this, it may be helpful to first determine how much of the $274,700 consisted of utilities and supervisory salaries. Think about the behavior of variable and fixed costs.)

2. Using the high-low method, estimate a cost formula for maintenance in the form Y = a + bX.

3. Express the companys total overhead cost in the form Y = a + bX.

4. What total overhead cost would you expect to be incurred at an activity level of 45,000 machine-hours?

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