Nova Companys total overhead cost at various levels of activity are presented below:
Month | Machine-Hours | Total Overhead Cost |
April | 54,000 | $208,340 |
May | 44,000 | $184,240 |
June | 64,000 | $232,440 |
July | 74,000 | $256,540 |
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Assume that the total overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 44,000 machine-hour level of activity is:
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Utilities (variable) | $ | 57,200 |
Supervisory salaries (fixed) | | 61,000 |
Maintenance (mixed) | | 66,040 |
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Total overhead cost | $ | 184,240 |
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Nova Companys management wants to break down the maintenance cost into its variable and fixed cost elements. |
1. | Estimate how much of the $256,540 of overhead cost in July was maintenance cost. (Hint: To do this, it may be helpful to first determine how much of the $256,540 consisted of utilities and supervisory salaries. Think about the behavior of variable and fixed costs!) (Do not round intermediate calculations.) |
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2. | Using the high-low method, estimate a cost formula for maintenance. (Do not round your intermediate calculations. Round the "Variable cost per unit" to 2 decimal places.) | | | Machine- Hours | Maintenance Cost | High activity level | | | Low activity level | | | Change | 0 | | | | | Variable cost element | | per MH | Fixed cost element | | | | |
3. Express the companys total overhead cost in the linear equation form Y = a + bX. (Do not round your intermediate calculations. Round the "Variable cost per unit" to 2 decimal places.)
Variable Cost per | |
| Machine-Hour | Fixed Cost |
Utilities cost | | |
Supervisory salaries cost | | |
Maintenance cost | | |
Total overhead cost | | |
4. | What total overhead cost would you expect to be incurred at an activity level of 49,000 machine-hours? (Do not round intermediate calculations.) |
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