Question
Prospero Corporations total overhead costs at various levels of activity are presented below: Month Machine-Hours Total Overhead Costs August 8,000 $119,400 September 12,000 $142,800 October
Prospero Corporations total overhead costs at various levels of activity are presented below:
Month | Machine-Hours | Total Overhead Costs | |
August | 8,000 | $119,400 | |
September | 12,000 | $142,800 | |
October | 16,000 | $166,200 | |
November | 4,000 | $93,120 |
Assume that the total overhead costs above consist of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 4,000 machine-hour level of activity is:
Utilities (variable) | $11,520 | |
Supervisory salaries (fixed) | 15,600 | |
Maintenance (mixed) | 66,000 | |
Total overhead costs | $93,120 |
Prospero Corporations management wants to break down the maintenance cost into its basic variable and fixed cost elements.
Required:
(1). Estimate how much of the $166,200 of overhead cost in October was maintenance cost. (Hint: to do this, it may be helpful to first determine how much of the $166,200 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.
(3). Express the companys total overhead costs in the linear equation form Y = a + bX.
(4). What total overhead costs would you expect to be incurred at an operating activity level of 15,000 machine-hours?
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