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In: Accounting

Changing the Cost Formula for a Month to the Cost Formula for a Year During the...

Changing the Cost Formula for a Month to the Cost Formula for a Year During the past year, the high and low use of three different resources for Fly High Airlines occurred in July and April. The resources are airplane depreciation, fuel, and airplane maintenance. The number of airplane flight hours is the driver. The total costs of the three resources and the related number of airplane flight hours are as follows:   

Resource Airplane Flight Hours Total Cost
Airline Depreciation:
High 44,000 $18,100,000
Low 28,000 $18,100,000
Fuel:
High 44,000 445,896,000
Low 28,000 283,752,000
Airplane maintenance:
High 44,000 15,976,000
Low 28,000 12,080,000

Required:

If required, round calculations and answers to nearest dollar.

1. Develop an annual cost formula for airplane depreciation.

Total annual cost of airplane depreciation = ____ x ($__________)

Develop an annual cost formula for fuel.

Total annual cost of fuel = $_________×___________

Develop an annual cost formula for airplane maintenance.

Total annual cost of airplane maintenance = (___________x $___________) + ($__________×_____________)

2. Using the three annual cost formulas that you developed, predict the cost of each resource in a year with 487,000 airplane flight hours.

Total annual cost of airplane depreciation $

Total annual cost of fuel $

Total annual cost of airplane maintenance $

Solutions

Expert Solution

1) annual total cost of airplane depreciation = 12*18100000
variable cost of fuel = (445896000/44000) = 10134
total annual cost of fuel = 10134*annual no of airplane flight hours
airplane maintenance variable cost = (15976000-12080000)/(44000-28000)
airplane maintenance variable cost = 243.5
airplane maintenance fixed cost = total cost-variable cost
airplane maintenanxe fixed cost = (15976000-44000*243.5)
airplane maintenancce fixed cost = 5262000
annual cost formula = (5262000*12)+(243.5*annual no of airplane flight hrs)
2) total annual cost of airplane depreciation = 12*18100000 = 217200000
total annual cost of fuel = 10134*487000 = 4935258000
total annual cost of airplane maintenance = (12*5262000)+(487000*243.5)

total annual cost of airplane maintenance = 181728500

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