Month Machine$-$Hours Total Overhead Cost

April $70,000$ $ $202,600$

May $60,000$ $ $180,900$

June $80,000$ $ $224,300$

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$)$ $ $50,400$

Supervisory salaries $($fixed$)21,000$

Maintenance $($mixed$)109,500$

Total overhead cost $ $180,900$

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

Required:

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.$)$

Note: Round the "Variable cost per unit" to $2$ decimal places.

Using the high$$low method, estimate a cost formula for maintenance.

Note: Round the "Variable cost per unit" to $2$ decimal places.

Express the company$$s total overhead cost in the form Y $=$ a $+$ bX$.$

Note: Round the "Variable cost per unit" to $2$ decimal places.

What total overhead cost would you expect to be incurred at an activity level of $75,000$ machine$-$hours?

Note: Round the "Variable cost per unit" to $2$ decimal places.

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