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The following are monthly totals taken from the log of laser printer used by the

ID: 2424184 • Letter: T

Question

The following are monthly totals taken from the log of laser printer used by the Hardcopy Inc. Cost was based on a flat fee plus declining cost per copy made after a minimum number of copies had been made each month.

Month                 # of Copies Made       Total Cost

September         23,000                         10,250

October              35,400                         11,300

November          38,000                         12,100

December          48,600                         18,500

Using the high low method determine: (a) the variable cost per copy (b) fixed costs for Sept. & Dec.

Explanation / Answer

Part a)

The variable cost per copy can be calculated using the following formula for high low method.

High Low Method = (Total Cost at Highest Activity Level - Total Cost at Lowest Activity Level)/(Highest Activity Level - Lowest Activity Level)

___________

Here, Total Cost at Highest Activity Level = $18,500, Total Cost at Lowest Activity Level = 10,250, Highest Activity Level = 48,600 and Lowest Activity Level = 23,000

Using these values in the above formula, we get,

Variable Cost Per Copy = (18,500 - 10,250)/(48,600 - 23,000) = $.32 per copy (the answer has been rounded off to 2 decimal places)

___________

Part b)

The fixed cost can be calculated with the use of following equation:

Total Fixed Cost = Total Cost - Total Variable Cost

___________

Using the variable cost per copy calculated above and information provided in the question, we get,

Total Fixed Cost (Sept.) = 10,250 - 23,000*.32 = $2,837.89 or $2,838 (the variable cost per copy has been taken in its original value in the calculation)

Total Fixed Cost (Dec.) = 18,500 - 48,600*.32 = $2,837.89 or $2,838 (the variable cost per copy has been taken in its original value in the calculation)

The fixed cost will remain constant irrespective of the level of production/activity.

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