Question

In: Accounting

SHOW ALL WORK!!                 Machine hours and electricity costs for ABC Industries for the past eleven...

SHOW ALL WORK!!

                Machine hours and electricity costs for ABC Industries for the past eleven months were as follows:

Month Electricity Costs Machine Hours

January $12,600                 2,000

February              14,000 2,400

March   9,310   1,400

April       15,200 2,600

May       19,000 2,300

June      15,500 3,300

July        17,000 3,600

August 15,500 3,000

September         10,700 1,500

October               17,700 3,300

November          21,000 4,200

Required:

a.            Using the high-low method, develop an estimate of variable electricity costs per machine hour. (Round to the nearest penny)

b.            Using the high-low method, develop an estimate of fixed electricity costs per month.

c.             Using the high-low method, develop a cost function for monthly electricity costs.

               

d.            Estimate electricity costs for a month in which 5,000 machine hours are worked.

Solutions

Expert Solution

Month Electricity Cost Machine Hours
Jan 12600 2000
Feb 14000 2400
Mar 9310 1400
Apr 15200 2600
May 19000 2300
Jun 15500 3300
Jul 17000 3600
Aug 15500 3000
Sep 10700 1500
Oct 17700 3300
Nov 21000 4200
Electricity Cost Machine Hours
High Level 21000 4200
Low Level 9310 1400
Difference 11690 2800
A Variable Cost Per MH:
A Electricity Cost 11690
B Machine Hours 2800
A/B Variable Cost Per MH 4.1750 Per MH
B Cost at 4200 MH:
Total Cost 21000
Less: Variable Cost(4.175*4200) 17535
Fixed Cost 3465
C TC(Y)=3465+4.175X
D MH: (5000 MHs)
Variable Cost(5000*4.1750) 20875
Fixed Cost 3465
Total Cost 24340

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