Machine-Hours | Maintenance Cost | |
April | 5,817 | $30,397 |
May | 5,800 | $30,307 |
June | 5,782 | $30,255 |
July | 5,779 | $30,251 |
August | 5,735 | $30,096 |
September | 5,813 | $30,378 |
October | 5,845 | $30,424 |
November | 5,819 | $30,396 |
December | 5,803 | $30,336 |
Management believes that maintenance cost is a mixed cost that depends on machine-hours.
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Required:
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Estimate the variable cost per machine-hour and the fixed cost per month using the high-low method.(Round your "Variable cost" to 2 decimal places. Omit the "$" sign in your response.)
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Variable cost per machine-hour | $ |
Fixed cost per month | $ |
Explanation:
Machine-Hours | Maintenance Cost | |
High activity level | 5,845 | $30,424 |
Low activity level | 5,735 | $30,096 |
Variable cost = Change in cost ÷ Change in activity
= ($30,424 - $30,096) ÷ (5,845 machine-hours - 5,735 machine-hours)
= $328 ÷ 110 machine-hours
= $2.98 per machine-hour
Fixed cost element = Total cost - Variable cost element
= $30,096 - ($2.98 per machine-hour × 5,735 machine-hours)
= $13,006
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