THIS QUESTION CONSISTS OF TWO SEPARATE QUESTIONS, BOTH OF WHICH MUST BE ANSWEREDPart AMapholoba Pty Ltd ’s activity for the last six months is as follows:MonthMachine hoursElectrical costsJanuary2 000R15 600February2 600R22 500March2 400R17 500April1 900R15 200May1 800R14 500June2 200?Required:Using the high-low method calculate the following and choose the correct answer from the options provided:Variable cost per unit Blank 1Fixed cost Blank 2The estimated electrical cost of 2 200 machine hours Blank 3 .Part BConsider the information provided in the following two (2) independent cases A and B. Assuming that overhead costs are absorbed to production work at the rate of R7,20 per direct labour hour, calculate the missing values and choose the correct answer from the options provided.CaseDirect labour hoursAbsorbed overheadsActual overheadsOver /under-absorbed overheadsA10 000Blank 4R75 600Blank 5B12 000Blank 6Blank 7R1 800 over absorbed
Question
THIS QUESTION CONSISTS OF TWO SEPARATE QUESTIONS, BOTH OF WHICH MUST BE ANSWEREDPart AMapholoba Pty Ltd ’s activity for the last six months is as follows:MonthMachine hoursElectrical costsJanuary2 000R15 600February2 600R22 500March2 400R17 500April1 900R15 200May1 800R14 500June2 200?Required:Using the high-low method calculate the following and choose the correct answer from the options provided:Variable cost per unit Blank 1Fixed cost Blank 2The estimated electrical cost of 2 200 machine hours Blank 3 .Part BConsider the information provided in the following two (2) independent cases A and B. Assuming that overhead costs are absorbed to production work at the rate of R7,20 per direct labour hour, calculate the missing values and choose the correct answer from the options provided.CaseDirect labour hoursAbsorbed overheadsActual overheadsOver /under-absorbed overheadsA10 000Blank 4R75 600Blank 5B12 000Blank 6Blank 7R1 800 over absorbed
Solution
Part A
The high-low method is a technique used to divide a mixed cost into its variable and fixed components.
Step 1: Identify the highest and lowest activity levels and calculate the variable cost per unit.
The highest level of activity is in February with 2,600 machine hours and a cost of R22,500. The lowest level of activity is in May with 1,800 machine hours and a cost of R14,500.
Variable cost per unit = (Cost at highest activity level - Cost at lowest activity level) / (Highest activity level - Lowest activity level)
Variable cost per unit = (R22,500 - R14,500) / (2,600 hours - 1,800 hours) = R8,000 / 800 hours = R10 per machine hour
Step 2: Calculate the fixed cost.
Fixed cost = Total cost - Variable cost
Fixed cost = Cost at highest activity level - (Variable cost per unit * Highest activity level)
Fixed cost = R22,500 - (R10 * 2,600) = R22,500 - R26,000 = -R3,500
Step 3: Estimate the electrical cost for 2,200 machine hours.
Electrical cost = Fixed cost + (Variable cost per unit * Machine hours)
Electrical cost = -R3,500 + (R10 * 2,200) = -R3,500 + R22,000 = R18,500
So, Blank 1 = R10, Blank 2 = -R3,500, Blank 3 = R18,500
Part B
Overhead costs are absorbed at a rate of R7.20 per direct labour hour.
Case A:
Absorbed overheads = Direct labour hours * Absorption rate
Absorbed overheads = 10,000 hours * R7.20 = R72,000
Over/under-absorbed overheads = Actual overheads - Absorbed overheads
Over/under-absorbed overheads = R75,600 - R72,000 = R3,600 under absorbed
So, Blank 4 = R72,000, Blank 5 = R3,600 under absorbed
Case B:
Absorbed overheads = Direct labour hours * Absorption rate
Absorbed overheads = 12,000 hours * R7.20 = R86,400
Actual overheads = Absorbed overheads + Over/under-absorbed overheads
Actual overheads = R86,400 + R1,800 = R88,200
So, Blank 6 = R86,400, Blank 7 = R88,200
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