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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 |
- Using the high- low method, find total variable cost, total fixed costs for utilities?
- What is the estimated cost for a month in which 200 scans were sold?
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 |
- Using the high- low method, find variable cost per unit, total fixed costs, and the total costs equation?
- What is the estimated cost for a month in which 21600 units sold?
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 |
- Using the high-low method, determine the total amount of fixed costs and the amount of variable cost per unit.
Estimate the maintenance cost in December if the number of units is 25,000
Expert Solution
| 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 |
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