Question
Crosshill Companys total overhead costs at various levels of activity are presented below: Month Machine-Hours Total Overhead Cost April 65,000 $ 141,000 May 55,000 $
Crosshill Companys total overhead costs at various levels of activity are presented below:
Month | Machine-Hours | Total Overhead Cost | ||
April | 65,000 | $ | 141,000 | |
May | 55,000 | $ | 158,000 | |
June | 75,000 | $ | 320,000 | |
July | 81,000 | $ | 192,000 | |
Assume that the overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 55,000-machine-hour level of activity in May is as follows:
Utilities (variable) | $ | 38,000 |
Supervisory salaries (fixed) | 22,000 | |
Maintenance (mixed) | 98,000 | |
Total overhead cost | $ | 158,000 |
The company wants to break down the maintenance cost into its variable and fixed cost elements.
Required:
1. Estimate how much of the $192,000 of overhead cost in July was maintenance cost. (Hint: To do this, first determine how much of the $192,000 consisted of utilities and supervisory salaries. Think about the behavior of variable and fixed costs within the relevant range.) (Round the "Variable cost per unit" to 2 decimal places.)
Maintenance cost in july _______
2. Using the highlow method, estimate a cost formula for maintenance. (Round the "Variable cost per unit" to 2 decimal places.)
Machine-hours maintenance cost
High activity level _____. _____
Low activity level ______. ______
Change ______. ______
Variable cost element ______. per MH
Fixed cost element _______. ______
Y = _____ + ______X
3. Express the companys total overhead cost in the form Y = a + bX. (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 _______. ______
Y = _____ + _____X
4. What total overhead cost would you expect to be incurred at an activity level of 70,000 machine hours? (Round the "Variable cost per unit" to 2 decimal places.)
Total Overhead Cost _______
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