Question

In: Accounting

Continental Railroad decided to use the high-low method and operating data from the past six months...

Continental Railroad decided to use the high-low method and operating data from the past six months to estimate the fixed and variable components of transportation costs. The activity base used by Continental Railroad is a measure of railroad operating activity, termed "gross-ton miles," which is the total number of tons multiplied by the miles moved.

Transportation Costs Gross-Ton Miles
January $854,900 228,000
February 953,100 255,000
March 673,600 165,000
April 913,800 247,000
May 766,400 198,000
June 982,600 268,000

Determine the variable cost per gross-ton mile and the total fixed cost.

Variable cost (Round to two decimal places.) $ per gross-ton mile
Total fixed cost $

Solutions

Expert Solution

  • Variable cost = $ 3.00 per gross ton mile
  • Fixed Cost = $ 178,600
  • Working

Note:
>Units = Gross ton miles
>Cost = Transportation costs

Month

Units

Cost

High Level

June

                        268,000

$                982,600.00

Low Level

Mar

                        165,000

$                673,600.00

Difference

                        103,000

$                309,000.00

A

Difference in Cost

$                309,000.00

B

Difference in units

                          103,000

C = A/B

Variable cost per unit

$                           3.000

Working

High Level

Low Level

A

Total Cost

$              982,600.00

$                673,600.00

B

Total Units

268000

165000

C

Variable cost per unit

$                           3.00

$                             3.00

D = B x C

Total Variable cost

$              804,000.00

$                495,000.00

E = A - D

Total Fixed Cost

$              178,600.00

$                178,600.00


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