Let's have a comparison of both the alternatives.
Working Note -1
Present sales
No.of tires = 400000 tires
selling price per tire = 200 per tire
Total sales 400000*200= 80,00,000$
Working Note 2
Analysis of variable cost
Direct Material = $75
Direct labour=$20
Variable factory overhead $30 * 70% = $21
Variable selling and administrative expenses $18* 60% = $10.8
Sales commission = 3% of selling price being, $200*3% = $6
Therefore selling expenses without sales commission will be,
$10.8-$6 =$ 4.8
Note: Whether or not the order is accepted, the fixed portion of the cost will remain same.So we are considering only the variable costs and the additional costs , for comparison.
Solution
Amounts are in $
Particulars | Alternative 1 Reject | Alternative 2 - Accept | Differential effects. |
No of units | 400000 | 500000 | 100000 |
Revenue | |||
Present sales 400000* 200 |
800,00,000 | 800,00,000 | |
New order 100000* 150 |
- | 150,00,000 | |
Total Sales (A) | 800,00,000 | 950,00,000 | 150,00,000 |
Costs; | |||
Direct Material $75* no of units |
300,00,000 | 375,00,000 | 75,00,000 |
Direct Labour $20* no of units |
80,00,000 | 100,00,000 | 20,00,000 |
Variable factory overhead (See working note) 21* units |
84,00,000 | 105,00,000 | 21,00,000 |
Variable selling overhead (See working note) 4.8* units |
19,20,000 | 24,00,000 | 480000 |
Sales commission 6*400000 units.(there is no sales commission for overseas sales) | 24,00,000 | 24,00,000 | - |
Shipping cost 100000 * $3 |
- | 3,00,000 | 3,00,000 |
Certification cost | - | 4,00,000 | 4,00,000 |
Total cost (B) | 507,20000 | 635,00,000 | 127,80,000 |
Profit (A)-(B) | 292,80,000 | 315,00,000 | 22,20,000 |
So from the table it is evident that company gets additional profit of $ 22,20000 if the order is accepted.
Therefore it is suggested to accept the order of additional 1,00,000 tires at a selling price of $150 each.
The additional profit can also be calculated using a simple formula.
Incremental sales - incremental cost,
150 - (75+20+21+4.8+3+4) = $22.2/tire × 100000 tires= 22,20000
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