In: Accounting
Ovation Company has a single product called a Bit. The company normally produces and sells 69,600 Bits each year at a selling price of $49 per unit. The company’s unit costs at this level of activity are given below: |
Direct materials | $ | 9.90 | |
Direct labour | 8.10 | ||
Variable manufacturing overhead | 4.20 | ||
Fixed manufacturing overhead | 3.00 | ($208,800 total) | |
Variable selling expenses | 7.20 | ||
Fixed selling expenses | 3.60 | ($250,560 total) | |
Total cost per unit | $ | 36.00 | |
A number of questions relating to the production and sale of Bits follow. Each question is independent.
|
Ovation Company
1a. calculation of incremental net operating income:
unit selling price |
$49 |
|
Variable costs: |
||
Direct material |
$9.90 |
|
Direct labor |
$8.10 |
|
variable manufacturing overhead |
$4.20 |
|
variable selling expenses |
$7.20 |
|
total variable cost per unit |
$29.40 |
|
Unit contribution margin |
$19.60 |
|
additional units of sale |
17,400 units |
(69,600 x 25%) |
incremental contribution margin |
$341,040 |
|
incremental costs - |
||
selling expenses |
$111,000 |
|
incremental net operating income |
$230,040 |
1b. Yes, the increase in fixed expenses is justified as the incremental contribution margin is high enough to cover the increase in fixed selling expenses.
Variable costs: |
|
Direct material |
$9.90 |
Direct labor |
$8.10 |
variable manufacturing overhead |
$4.20 |
variable selling expenses |
$3.60 |
import duty |
$1.70 |
total variable costs |
$27.50 |
incremental fixed cost |
$7,830 |
Per unit break-even price for the order –
At break-even sales,
Total revenue = total costs
Assuming the break-even price to be A,
17,400 x A = 27.50 x 17,400 + 7,830 = $486,330
A = 486,330/17,400 = $27.95
The break-even selling price for the special order is $27.95 per unit.
All the production costs (both variable and fixed) incurred in the production of units with irregularities are sunk costs. Also, the fixed selling expenses are not affected by the sale or no sale of these units. Hence, the only relevant cost is the variable selling expenses of $7.20.
Hence, the minimum selling price is $7.20
Operating level for 2 months – 30% of normal production
= 30% of 69,600 = 20,880
Production loss = 48,720
Contribution loss on production loss = 48,720 x $19.60 = $954,912
Hence, if the plant operates at 30% of normal capacity fortwo months, the contribution loss = $954,912
If the plant is closed down for 2 months –
Savings in fixed manufacturing cost = 40% of $208,000 = $83,200
Savings in fixed selling costs= 20% of $250,560 = $50,112
Net financial disadvantage of closing the plant for two months = 954,112 – 83,200 – 50,112 = $821,600
assuming the company operates the plant for two months -
Contribution from 30% production = $19.60 x 20,880 units =$409,248
Total fixed cost –
Fixed manufacturing overhead$208,000
Fixed selling overhead$250,560458,560
Net loss $49,312
Comparison of the net loss from continuing production with the net disadvantage of closing the plant for two months,
Net operating loss on closing the plant for 2 months = $821,600
Net operating loss on continuing production at 30% for 2 months = $49,312
Since the relative loss on closing the plant is higher, the recommendation is to continue production at 30% normal capacity.
Variable manufacturing costs $22.20 (9.90 + 8.10 + 4.20)
Fixed manufacturing overhead $2.24 (208,000 x 75%) x 1/69,600
Variable selling expense $2.40($7.2 0x 2/3)
Total costs avoided$26.84
Hence, if the company purchases Bits from outside supplier, the unit cost relevant for comparison with outside quote by the external manufacturer would be the unit cost per Bit that can be avoided when the company purchases from outside, which equals to $26.84.