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11. Arcadia Company incurred the following costs and machine hours during the first three months of the current year. Assume
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Answer :

(A) Computation of cost formula for Electricity cost

January February March
Electricity $ 20000 $ 15000 $ 18000
Machine hour 1200 700 950

Variable cost per Machine hour

= Highest activity cost - Lowest activity cost / Highest activity unit - Lowest activity unit

= $ 20000 - $ 15000 / 1200 - 700

= $ 10 per machine hour

Fixed cost = $ 20000 - 1200 machine hour*$ 10

= $ 8000

Note -1

It is necessary to choose the high low values from the units ( i.e....number of machine hour ) and not the total cost ( i,e..electricity cost)

Cost Formula

Total cost = Fixed cost + variable cost * unit activity

= $ 8000 + ($ 10* Number of machine hour)

(B) Computation of number of machine hour

Total cost = $ 53000

Total Fixed cost = Depreciation + Property tax+ Fixed part of Electricity

= $ 15000 + $ 12000 + $ 8000

= $ 35000

Total Variable cost = Total cost - Total Fixed cost

= $ 53000 - $ 35000

= $ 18000

Variable cost per machine hour = Factory supplies + Electricity

= $ 8+ $ 10

= $ 18

Number of machine hour incurred during april = $ 18000/ $ 18 = 1000

Working note -1

Factory supplies per machine hour = $ 9600/1200 = $ 8

(C) Computation of Total cost for 1500 machine hour

Fixed cost = Depreciation + Property tax+ Fixed part of Electricity

= $ 15000 + $ 12000 + $ 8000

= $ 35000

Variable cost per machine hour = Factory supplies + Electricity

= $ 8+ $ 10

= $ 18

Total cost = Fixed cost + variable cost

= $ 35000 + $ 18*1500 machine hour

= $ 62000

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