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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

Accounting

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

  1. Using the high- low method, find total variable cost, total fixed costs for utilities?                                                                                                                        
  2. 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

     
     
  1. Using the high- low method, find variable cost per unit, total fixed costs, and the total costs equation?
  2. 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

 

 

  1. 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

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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