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The Armer Company is accumulating data to be used in preparing its annual profit

ID: 2415573 • Letter: T

Question

The Armer Company is accumulating data to be used in preparing its annual profit plan for the coming year. The cost behavior pattern of the maintenance costs must be determined. The accounting staff has suggested that linear regression be employed to derive an equation in the form of y = a + bx for maintenance costs. Data regarding the maintenance hours and costs for last year and the results of the regression analysis are as follows:

Hours of Activity

Maintenance Costs

  January

470             

$ 4,400             

  February

300             

2,800             

  March

430             

3,300             

  April

270             

2,860             

  May

500             

4,400             

  June

300             

2,910             

  July

310             

3,070             

  August

530             

4,700             

  September

500             

4,270             

  October

460             

3,970             

  November

330             

3,500             

  December

330             

3,280             

  Sum

4,730             

43,460             

  Average

394             

3,622             

     

Using the high-low method to estimate cost behavior, 400 maintenance hours in a month would mean the maintenance costs would be budgeted at: (Round your intermediate calculations and final answer to 2 decimal places.)

Hours of Activity

Maintenance Costs

  January

470             

$ 4,400             

  February

300             

2,800             

  March

430             

3,300             

  April

270             

2,860             

  May

500             

4,400             

  June

300             

2,910             

  July

310             

3,070             

  August

530             

4,700             

  September

500             

4,270             

  October

460             

3,970             

  November

330             

3,500             

  December

330             

3,280             

  Sum

4,730             

43,460             

  Average

394             

3,622             

Explanation / Answer

Using the High low Method

VC = Total COst (At high Activity) - Total Cost(LOw Activity)/Unit Produced(At high activity)-UNit Produced(Low Activity)

Highest Activity is 4700 @ 530 units

Lowest Activity is 2860 @ 270 units

VC = 4700 - 2860/530-270

VC = 1840/260 =$ 7.08

Finding out fixed COst at lowest level of Activity

Total COst = Fixed Cost +VAriable COst

2860 = FC +(7.08x270)

2860 = FC + 1911.6

FC = 2860-1911.6

FC = $948.4

400 MAintenance hours in amonth would mean the maintenance cost would be budgeted at

948.4+(400x7.08) = 948.4+2832 = $3780.4