Question: Nova Company's total overhead cost at various levels of activity are presented below: Month Machine-Hours Total Overhead Cost April 51,000 $ 195,630 May 41,000 $
Nova Company's total overhead cost at various levels of activity are presented below:
| Month | Machine-Hours | Total Overhead Cost |
|---|---|---|
| April | 51,000 | $ 195,630 |
| May | 41,000 | $ 172,330 |
| June | 61,000 | $ 218,930 |
| July | 71,000 | $ 242,230 |
Assume that the total overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 41,000 machine-hour level of activity is:
| Utilities (variable) | $ 45,100 |
|---|---|
| Supervisory salaries (fixed) | 63,000 |
| Maintenance (mixed) | 64,230 |
| Total overhead cost | $ 172,330 |
Nova Company's management wants to break down the maintenance cost into its variable and fixed cost elements.
1. Estimate how much of the $242,230 of overhead cost in July was maintenance cost. (Hint: to do this, it may be helpful to first determine how much of the $242,230 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 company's 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 46,000 machine-hours?
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