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High-Low Method, Cost Formulas The controller of the South Charleston plant of Ravinia, Inc
High-Low Method, Cost Formulas
The controller of the South Charleston plant of Ravinia, Inc., monitored activities associated with materials handling costs. The high and low levels of resource usage occurred in September and March for three different resources associated with materials handling. The number of moves is the driver. The total costs of the three resources and the activity output, as measured by moves for the two different levels, are presented as follows:
Resource Number of Moves Total CostForklift depreciation: Low 6,000 $2,300 High 21,000 2,300 Indirect labor: Low 6,000 $77,800 High 21,000 134,800 Fuel and oil for forklift: Low 6,000 $3,540 High 21,000 12,390
Required:
If required, round your answers to two decimal places. Enter a "0" if required.
1. Determine the cost behavior formula of each resource. Use the high-low method to assess the fixed and variable components.
Forklift depreciation:
V$
F$
Y$
Indirect labor:
V$
F$
Y$ + $ ______ x
XFuel and oil for forklift:
V$
F$
Y$ X
2. Using your knowledge of cost behavior, predict the cost of each item for an activity output level of 8,000 moves.
Forklift depreciation$
Indirect labor$
Fuel and oil for forklift$
3. Construct a cost formula that can be used to predict the total cost of the three resources combined. If required, round your answers to two decimal places.
Materials handling cost = $
+ $
X
Using this formula, predict the total materials handling cost if activity output is 8,000 moves.
Y = $
Expert Solution
1) Determine the cost behavior formula of each resource. Use the high-low method to assess the fixed and variable components:
Forklift Depreciation:
Variable Cost per move = (Cost at highest activity level - Cost at lowest activity level) / (Highest Activity level - Lowest Activity Level)
= ($2300 - $2300) / (21000-6000)
= 0
Therefore Fixed cost is $2300 , since it is same at all activity level.
Equation is Y = $2300
Indirect Labor:
Variable Cost per move = (Cost at highest activity level - Cost at lowest activity level) / (Highest Activity level - Lowest Activity Level)
= ($134800 - $77800) / (21000-6000)
= $3.80 per move
Fixed Cost = $134,800 - $3.80 * 21000 = $55,000
Equation is Y = $55,000 + $3.80 x
Fuel and oil for forklift:
Variable Cost per move = (Cost at highest activity level - Cost at lowest activity level) / (Highest Activity level - Lowest Activity Level)
= ($12390 - $3540) / (21000-6000)
= $0.59 per unit
Fixed Cost = $12390 - 21000 * $0.59 = 0
Equation is $0.59 x
2) Using your knowledge of cost behavior, predict the cost of each item for an activity output level of 8,000 moves:
Forklift Depreciation = $2300
Indirect Labor = $55,000 + 8000 * $3.80 = $85400
Fuel and oil for forklift = 8000 * $0.59 = $4720
3) Construct a cost formula that can be used to predict the total cost of the three resources combined:
Combined Fixed Cost = $2300 + $55000 = $57,300
Combined Variable cost per move = $3.80 + $0.59 = $4.39
Equation is Y = $57,300 + $4.39 x
Using this formula, predict the total materials handling cost if activity output is 8,000 moves:
Combined Equation Y = $57,300 + $4.39 * 8,000 moves = $92,420
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