question archive AAA Company accumulates the following data concerning a mixed cost, using miles as the activity level

AAA Company accumulates the following data concerning a mixed cost, using miles as the activity level

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AAA Company accumulates the following data concerning a mixed cost, using miles as the activity level.

                                                  Miles Driven         Total Cost

January                                         10,000                 $15,625

February                                         8,000                   13,500

March                                             9,000                   14,400

April                                               7,500                   12,500

 

Required:

  1. Compute the variable and fixed cost elements using the high-low method
  2. If it is estimated that 15,000 miles will be driven in May, what is the expected total cost for May?
  3. Explain the various methods used to estimate the variable component and the fixed component of the mixed cost and state which method is the most accurate? Why?

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1

Variable cost = (Cost at highest activity - Cost at lowest activity) / (Highest activity - Lowest activity)

= (15625 - 12500) / (10000-7500) = 4025 / 2500 = 1.61

Fixed Cost =

Total Cost - varibale Cost

13500 - (8000 x 1.61) = 620

2

Variable Cost =

15000 x 1.61 = 24150

Fixed Cost = 620

Total Cost = 24150 + 620 = 24770