A.
Initial Sales = 60000 units
Variable cost per unit = 16
Contribution = 840000
Let initial sale price be X, Then , 840000= 60000(X-16)
Therefore , Initial Selling Price = 30
Particulars | Option 1 | Option 2 | Option 3 |
Selling price A | 27 | 30 | 30 |
Sales Qty B | 78000 | 62000 | 75000 |
Direct Material | 7.5 | 8 | 7.7 |
Labour & Overheads | 8 | 8 | 8 |
Total Variable cost C | 15.5 | 16 | 15.7 |
Fixed Production Cost | 290000 | 260000 | 285000 |
Fixed Administration Cost | 95000 | 90000 | 94000 |
Selling & Distribution Expense | 110000 | 112000 | 107000 |
Total Fixed Cost D | 495000 | 462000 | 486000 |
Contribution Per Unit (A-C) E | 11.5 | 14 | 14.3 |
Total Contribution (E*B) F | 897000 | 868000 | 1072500 |
Profit (F-D) | 402000 | 406000 | 586500 |
For Option 4, Profit = 486000
Total Variable cost =(8-6.25%)+4+4 = 15.5
Total Fixed Cost =260000+90000+100000+50000+67000 = 567000
sales qty =78000
Contribution Required = FC + Profit = 567000+486000 = 1053000
let y be the selling price
78000(y-15.5)=1053000
y = 29
Therefore , selling price = 29 for option 4
B. Break Even point in units for option 4
= Fixed cost / contribution per unit
= 567000/(29-15.5) = 42000 units
Profit @ 60000 units = Contribution - fc
= 60000(29-15.50)- 567000
= 243000
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