Question

In: Accounting

High-Low Method The manufacturing costs of Ackerman Industries for the first three months of the year...

High-Low Method

The manufacturing costs of Ackerman Industries for the first three months of the year follow:

Total Costs Units Produced
January $465,670 3,260 units
February 319,680 1,850
March 497,280 5,550

Using the high-low method, determine (a) the variable cost per unit and (b) the total fixed cost. Round all answers to the nearest whole dollar.

a. Variable cost per unit $
b. Total fixed cost $

Solutions

Expert Solution

Answer- a)-Variable Cost per unit = $48 per unit.

b)- Total fixed costs =$230880.

Explanation:-High-Low Method:-

Variable Cost per Unit

Variable cost per unit (b) is calculated using the following formula:

Variable cost per unit = (Y2-Y1)/(X2-X1)

Where,
y2 is the total cost at highest level of activity;
y1 is the total cost at lowest level of activity;
x2 are the number of units/miles/ labor ,machine hours etc. at highest level of activity; and
x1 are the number of units/miles/ labor, machine hours etc. at lowest level of activity

The variable cost per unit is equal to the slope of the cost volume line (i.e. change in total cost ÷ change in number of machine hours).

Total Fixed Cost

Total fixed cost (a) is calculated by subtracting total variable cost from total cost, thus:

Total Fixed Cost = (y2 – b)*x2 = (y1 – b*x1)

We have,
at highest activity: x2 = 5550 units; y2 = $497280
at lowest activity: x1 = 1850 units; y1 = $319680

Variable Cost per unit = ($497280-$319680) /(5550 units – 1850 units)  

= $177600/3700 units

= $48 per unit

Fixed costs = $497280 - (5550*$48 per unit)

= $497280-$266400

= $230880


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