Harvest Companys total overhead cost at various levels of activity are presented below: Month Machine-Hours Total Overhead Cost March 56,000 $ 410,100 April 46,000 $
Harvest Companys total overhead cost at various levels of activity are presented below: |
Month | Machine-Hours | Total Overhead Cost | ||||
March | 56,000 | $ | 410,100 | |||
April | 46,000 | $ | 348,100 | |||
May | 66,000 | $ | 472,100 | |||
June | 86,000 | $ | 596,100 | |||
Assume that the overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 46,000 machine-hour level of activity is as follows: |
Utilities (variable) | $ | 138,000 |
Supervisory salaries (fixed) | 48,000 | |
Maintenance (mixed) | 162,100 | |
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Total overhead cost | $ | 348,100 |
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The company wants to break down the maintenance cost into its variable and fixed cost elements. |
Required: |
1. | Estimate how much of the $596,100 of overhead cost in June was maintenance cost. (Hint: To do this, it may be helpful to first determine how much of the $596,100 consisted of utilities and supervisory salaries. Think about the behavior of variable and fixed costs within the relevant range.) (Do not round intermediate calculations.) |
2. | Using the high-low method, estimate a cost formula for maintenance. (Round the "Variable cost per unit" to 2 decimal places.) |
3. | Express the companys total overhead cost in the form Y = a + bX. (Round the "Variable cost per unit" to 2 decimal places.) |
4. | What total overhead cost would you expect to be incurred at an activity level of 50,000 machine-hours? (Do not round intermediate calculations.) |
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