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Blacken Company manufactures motorcycles. The company\'s management accountant w

ID: 2410770 • Letter: B

Question

Blacken Company manufactures motorcycles. The company's management accountant wants to calculate the fixed and variable costs associated with utility cost incurred by the factory. Data for the past five months were collected.

Month

Utility

cost

Machine

hours

March

$30,255

2,200

April

32,750

2,525

May

34,712

2,710

June

31,850

2,410

July

30,720

2,290

Using a regression program, the forecasted utility cost at 2,550 machine hours (rounded to the nearest dollar) is

a. $28,288.

b. $37,116.

c. $33,147. = How ?

d. $10,631.

Month

Utility

cost

Machine

hours

March

$30,255

2,200

April

32,750

2,525

May

34,712

2,710

June

31,850

2,410

July

30,720

2,290

Explanation / Answer

Answer

c ) 33147

variable rate per machine = ( 34712 - 30720 ) / ( 2710 - 2290 )

= 3992 / 420

= 9.5

fixed cost of utilites = 34712 - 9.5 * 2710

= 8967

total cost of utilites = 8967 + ( 9.5 * 12135 )

= 124249.5

cost of utilites 2550 mach = 8967 + ( 9.5 * 2550 )

= 33192

c = 33147