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 Cost | ||
Forklift depreciation: | ||||
Low | 5,000 | $2,000 | ||
High | 15,000 | 2,000 | ||
Indirect labor: | ||||
Low | 5,000 | $79,000 | ||
High | 15,000 | 119,000 | ||
Fuel and oil for forklift: | ||||
Low | 5,000 | $3,600 | ||
High | 15,000 |
10,800 |
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 |
Fuel 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 10,000 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 10,000 moves.
Answer :
(1) Cost behavior formula of each resource :
Forklift depreciation: | |
V = (2,000 - 2,000) / (15,000 - 5,000) | $0 |
F = 2,000 - (0 x 5,000) | $2,000 |
Y | $2,000 |
Indirect labor: | |
V = (119,000 - 79,000) / (15,000 - 5,000) | $4 |
F = 79,000 - (4 x 5,000) | $59,000 |
Y | $59,000 + $4X |
Fuel and oil for forklift: | |
V = (10,800 - 3,600) / (15,000 - 5,000) | $0.72 |
F = 3,600 - (0.72 x 5,000) | $0 |
Y | $0.72X |
(2) Calculation of cost of each item for an activity output level of 10,000 moves :
Forklift depreciation | $2,000 |
Indirect labor | $99,000 |
Fuel and oil for forklift | $7,200 |
(3)
Materials handling cost = ($2,000 + $59,000) +( $4 + $0.72)X
Materials handling cost = $61,000 + $4.72X
Using above formula Materials handling cost if activity output is 10,000 moves = $61,000 + ($4.72 x 10,000)
= $61,000 + $47,200
= $108,200
Get Answers For Free
Most questions answered within 1 hours.