High-Low Method
Ziegler Inc. has decided to use the high-low method to estimate the total cost and the fixed and variable cost components of the total cost. The data for various levels of production are as follows:
Units Produced | Total Costs | |||
6,970 | $723,240 | |||
2,870 | 464,940 | |||
4,620 | 629,740 |
a. Determine the variable cost per unit and the total fixed cost.
Variable cost: (Round to the nearest dollar.) | $ per unit |
Total fixed cost: | $ |
b. Based on part (a), estimate the total cost for 3,540 units of production.
Total cost for 3,540 units: | $ |
Answer :
a. The variable cost per unit and the total fixed cost :
Variable cost per unit
= (Highest Total Costs - Lowest Total Costs) / (Highest Units Produced - Lowest Units Produced)
= ($723,240 - $464,940) / (6,970 units - 2,870 units)
= $258,300 / 4,100 units
= $63
Fixed cost
= Highest Total Costs - (Variable cost per unit x Highest Units Produced)
= $723,240 - ($63 x 6,970 units)
= $723,240 - $439,110
= $284,130
b. Calculation of the total cost for 3,540 units of production :
Total cost = Variable cost + Fixed cost
= (3,540 units x $63) + $284,130
= $223,020 + $284,130
= $507,150
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