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Magnolia company’s high and low level of activity last year was 60,000 units of product produced in april and 20,000 units produced in october. Machine maintenance costs were $104,000 in april and $40,000 in october. Using the high-low method, determine an estimate of total maintenance cost for a month in which production is expected to be 45,000 units.

Sagot :

The total maintenance cost for a month in which production is expected to be 45,000 units is; TMC = $80,000

What is the Total Maintenance Cost?

The computation of the fixed cost and the variable cost per hour by using high low method is shown as follows;

Variable cost per hour = (High Machine maintenance costs - low Machine maintenance costs) ÷ (High activity level - low activity level)

Plugging in the relevant values gives;

Variable cost per hour = ($104,000 - $40,000) ÷ (60,000 units - 20,000 units)

Variable cost per hour = $1.6

The variable cost = High activity level × per unit variable cost

Variable cost =  60,000 units × 1.6

Variable Cost = $96,000

Fixed cost = Total cost - variable cost

Fixed Cost = $104,000 - $96,000

Fixed Cost = $8,000

For 45,000 units, total maintenance cost is;

Total Maintenance Cost = Number of units  × per unit variable cost + Fixed cost

TMC = (45,000 units × $1.6) + $8,000

TMC = $80,000

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