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Nova Companys total overhead cost at various levels of activity are presented below: Month Machine-Hours Total Overhead Cost April 52,000 $ 189,060 May 42,000 $

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

Month Machine-Hours Total Overhead Cost
April 52,000 $ 189,060
May 42,000 $ 164,260
June 62,000 $ 213,860
July 72,000 $ 238,660

Assume the total overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 42,000 machine-hour level of activity is:

Utilities (variable) $ 54,600
Supervisory salaries (fixed) 42,000
Maintenance (mixed) 67,660
Total overhead cost $ 164,260

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

Required:

  1. Estimate how much of the $238,660 of overhead cost in July was maintenance cost. (Hint: To do this, it may be helpful to first determine how much of the $238,660 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 at an activity level of 47,000 machine-hours?

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