Answer:
For making 10,000 units
Type A cost = 40,000
Type B Cost = 90,000
Type C Cost = 25,000
Explanation:
Given - Shum Manufacturing, which uses the high-low method, makes a
product called Kwan. The company incurs three different cost
types (A, B, and C) and has a relevant range of operation between
2,500 units and 10,000 units per month. Per-unit costs at two
different activity levels for each cost type are presented below.
Type A Type B Type C Total
5,000 units $4 $9 $4 $17
7,500 units $4 $6 $3 $13
To find - If Shum produces 10,000 units, the total cost would be ?
Proof -
As we know that
Total cost = Variable cost per unit × Units + Fixed Cost
Now,
As per the question ,
Highest Activity unit = 7,500 units
Lowest Activity unit = 5,000 units
Now,
Variable cost per unit = Change in cost / Change in activity unit
= ( Highest Activity cost - Lowest Activity cost ) / ( Highest Activity unit - Lowest Activity unit )
Type A Type B Type C
Highest Activity Cost 30,000 45,000 22,500
Lowest Activity Cost 20,000 45,000 20,000
Variable Cost Per unit 4 0 1
Fixed Cost 0 90,000 15,000
Now,
Statement Showing Total Cost for 10,000 units
Particulars Type A Type B Type C
Variable Cost 40,000 0 10,000
Fixed Cost 0 90,000 15,000
Total 40,000 90,000 25,000
∴ we get
For making 10,000 units
Type A cost = 40,000
Type B Cost = 90,000
Type C Cost = 25,000
