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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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