Crosshill Company’s total overhead costs at various levels of activity are presented below:   Month Machine-Hours Total Overhead Cost April 70,000 $ 205,000   May 60,000 $ 184,500   June 80,000 $ 225,500   July 90,000 $ 246,000       Assume that the overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 60,000-machine-hour level of activity in May is as follows:     Utilities (variable) $ 52,800 Supervisory salaries (fixed)   21,000 Maintenance (mixed)   110,700 Total overhead cost $ 184,500     The company wants to break down the maintenance cost into its variable and fixed cost elements.   Required: 1. Estimate how much of the $246,000 of overhead cost in July was maintenance cost. (Hint: To do this, first determine how much of the $246,000 consisted of utilities and supervisory salaries. Think about the behaviour of variable and fixed costs within the relevant range.) (Round the "Variable cost per unit" to 2 decimal places.)           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 company’s 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 75,000 machine-hours? (Round the "Variable cost per unit" to 2 decimal places.)

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Crosshill Company’s total overhead costs at various levels of activity are presented below:

 

Month Machine-Hours Total Overhead Cost
April 70,000 $ 205,000  
May 60,000 $ 184,500  
June 80,000 $ 225,500  
July 90,000 $ 246,000  
 

 

Assume that the overhead cost above consists of utilities, supervisory salaries, and maintenance. The breakdown of these costs at the 60,000-machine-hour level of activity in May is as follows:

 

 
Utilities (variable) $ 52,800
Supervisory salaries (fixed)   21,000
Maintenance (mixed)   110,700
Total overhead cost $ 184,500
 

 

The company wants to break down the maintenance cost into its variable and fixed cost elements.

 

Required:

1. Estimate how much of the $246,000 of overhead cost in July was maintenance cost. (Hint: To do this, first determine how much of the $246,000 consisted of utilities and supervisory salaries. Think about the behaviour of variable and fixed costs within the relevant range.) (Round the "Variable cost per unit" to 2 decimal places.)

 

 

 

 

 

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 company’s 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 75,000 machine-hours? (Round the "Variable cost per unit" to 2 decimal places.)

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