In: Accounting
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.
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 | ||||||