Question
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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