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The management accountant of Fed & Co. is developing cost formulas for major ove

ID: 2517134 • Letter: T

Question

The management accountant of Fed & Co. is developing cost formulas for major overhead activities. The following information has been obtained regarding the behavior of the factory power costs over a number of months:

Month

Machine Hours

Power Cost ($)

July

August

September

October

November

December

2,500

2,800

2,200

3,000

1,500

2,000

10,125

10,840

9,800

11,000

8,750

9,300

Required:

(a) Using the high-low method, calculate:
(i) The variable cost per machine hour .
(ii) Total fixed cost per month .

(b) What would be the expected total cost for a month when machines are operating for 2,700 hours?

Month

Machine Hours

Power Cost ($)

July

August

September

October

November

December

2,500

2,800

2,200

3,000

1,500

2,000

10,125

10,840

9,800

11,000

8,750

9,300

Explanation / Answer

a) i) Variable cost per machine hour = Change in cost/change in hour

= (11000-8750)/(3000-1500)

Variable cost per machine hour = 1.5 per machine hour

ii) Fixed cost = 11000-(3000*1.5) = 6500

b) Total cost on 2700 hours = (2700*1.5+6500) = 10550