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Nova Company's total overhead cost at various levels of activity are presented below: Month Machine-Hours Total Overhead Cost April 55,000 $200,000 May 45,000 $175,800 June

 

Nova Company's total overhead cost at various levels of activity are presented below:

MonthMachine-HoursTotal Overhead Cost
April55,000$200,000
May45,000$175,800
June65,000$224,200
July75,000$248,400

Assume that the total overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 45,000 machine-hour level of activity is:

Utilities (variable)$ 54,000
Supervisory salaries (fixed)47,000
Maintenance (mixed)74,800
Total overhead cost$ 175,800

Nova Company's management wants to break down the maintenance cost into its variable and fixed cost elements.

Required:

1. Estimate how much of the $248,400 of overhead cost in July was maintenance cost. (Hint: To do this, it may be helpful to first determine how much of the $248,400 consisted of utilities and supervisory salaries. Think about the behavior of variable and fixed costs!) (Do not round intermediate calculations.)

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.)

3. Express the company's 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.)

 
 

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