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Homework answers / question archive / QUESTION 5 Harrell & Harrell wants to predict Maintenance for the firm’s at different level of working hours used per month
QUESTION 5
Harrell & Harrell wants to predict Maintenance for the firm’s at different level of working hours used per month. The following data have been gathered for the first 6 months:
Month |
Maintenance cost |
Working Hours |
1 |
$ 330 |
1650 |
2 |
$320 |
1450 |
3 |
$502 |
2450 |
4 |
$456 |
2100 |
5 |
$470 |
2340 |
6 |
$536 |
2800 |
Determine the fixed and variable components for Maintenance cost using the high-low method?
Solution:
VC per = cost of the highest – cost of lowest/ highest level-lowest level
VC per unit = (536-320)/(2800-1450)=0.16 per hour
TCV for the lowest = 1450x0.16= 232
TMC- TVC = TFC
320-232= 88
QUESTION 6
ABC hospital has collected the following data on utilities costs and use of the scanner since the first of the year.
Month |
No. Of Scans |
Utilities Cost (RM) |
January Feb Mac Apr May June July Aug September Oct November Dec |
60 70 90 120 100 130 150 140 110 80 |
2200 2600 2900 3300 3000 3600 4000 3600 3100 2500 |
QUESTION 7
Winston Company has collected the following sales data for recent months:
Month |
Units sold |
Total Cost |
6 |
20500 |
$20960 |
7 |
22300 |
$21428 |
8 |
18750 |
$20505 |
9 |
21200 |
$21395 |
QUESTION 8
Assume the local ABC Company assigns you the task of estimating total maintenance cost on its delivery vehicles. This cost is a mixed cost. You receive the following data from past months
Month |
Units |
Costs |
March |
8,000 |
$14,000 |
April |
10,000 |
14,960 |
May |
9,000 |
15,200 |
June |
11,000 |
15,920 |
July |
10,000 |
15,920 |
August |
13,000 |
16,880 |
September |
14,000 |
18,080 |
October |
18,000 |
19,280 |
November |
20,000 |
21,200 |
Estimate the maintenance cost in December if the number of units is 25,000
Answer 5 | |||||
maintenance Cost | hours | ||||
Highest | 536 | 2800 | |||
Lowest | 320 | 1450 | |||
VC per = cost of the highest – cost of lowest/ highest level-lowest level | |||||
VC per unit = (536-320)/(2800-1450)= | 0.16 | per hour | |||
Total Variable cost for lowest level = (1,450*0.16) | 232 | ||||
Total cost for lowest level= | 320 | ||||
Total Fixed Cost (320 -232) = | 88 | ||||
Answer 5 | |||||
Utilities Cost | No of scan | ||||
Highest | 4000 | 150 | |||
Lowest | 2200 | 60 | |||
VC per = cost of the highest – cost of lowest/ highest level-lowest level | |||||
VC per unit = (4000-2200)/(150-60)= | 20 | per scan | |||
Total Variable cost for lowest level = (60*20) | 1,200 | ||||
Total cost for lowest level= | 2,200 | ||||
Total Fixed Cost (2200 -1200) = | 1,000 | ||||
Answer 7 | |||||
Cost | Units Sold | ||||
Highest | 21428 | 22300 | |||
Lowest | 20505 | 18750 | |||
VC per = cost of the highest – cost of lowest/ highest level-lowest level | |||||
VC per unit = (21428-20505)/(22300-18750)= | 0.26 | per UNIT | |||
Total Variable cost for lowest level = (18750*0.26) | 4,875 | ||||
Total cost for lowest level= | 20,505 | ||||
Total Fixed Cost (20505-4,875) = | 15,630 | ||||
Answer 8 | |||||
Cost | Units | ||||
Highest | 21200 | 20000 | |||
Lowest | 14000 | 8000 | |||
VC per = cost of the highest – cost of lowest/ highest level-lowest level | |||||
VC per unit = (21200-14000)/(20000-8000)= | 0.6 | per UNIT | |||
Total Variable cost for lowest level = (8000*0.6) | 4,800 | ||||
Total cost for lowest level= | 14,000 | ||||
Total Fixed Cost (14,000-4,800) = | 9,200 |