a.1.
Units os sales required to break-even (30,000 / 300) | 100 |
Working:
Sales (400 x 600) | 240000 |
Variable costs (400 x 300) | 120000 |
Contribution margin | 120000 |
Annual fixed costs | 150000 |
balance contribution margin to be earned | 30000 |
Units os sales required to break-even (30,000 / 300) | 100 |
a.2.
Sales required to achieve the planned net income | 1700 | units |
Working:
Estimated after tax net income | A | 360000 |
Tax Rate | B | 25% |
Estimated operating income -- A / (1-B) | C | 480000 |
Fixed expenses | D | 150000 |
Required contribution margin (C + D) | E | 630000 |
Contribution margin for three months | F | 120000 |
Contribution margin required for the balance nine months (E - F) | G | 510000 |
Unit Contribution margin (600 - 300) | H | 300 |
Sales required to achieve the planned net income ( G / H) | I | 1700 |
b. All the alternatives give the desired operating incomes. But Alternative 1, gives the higherst operating income.
Evaluation of the proposed alternatives | ||||
Alternative 1 | Alternative 2 | Alternative 3 | ||
Sales Volume - for the remaining period | A | 2700 | 2500 | 2200 |
Unit selling price | B | 540 | 560 | 570 |
Unit variable costs | C | 300 | 280 | 300 |
Unit contribution margin (B - C) | D | 240 | 280 | 270 |
Total future contribution margin (A x D) | E | 648000 | 700000 | 594000 |
Contribution margin for first three months | F | 120000 | 120000 | 120000 |
Total contribution margin | G | 768000 | 820000 | 714000 |
Fixed costs | H | 150000 | 150000 | 130000 |
Operating Income (G - H) | I | 618000 | 670000 | 584000 |
Taxes - 25% | J | 154500 | 167500 | 146000 |
Net income (after tax) | K | 463500 | 502500 | 438000 |
Working: | ||||
Alternative 1 | ||||
Current Selling price | 600 | |||
Reduction | 60 | |||
Proposed selling Price | 540 | |||
Unit variable costs | 300 | |||
Alternative 2 | ||||
Current Selling price | 600 | |||
Reduction | 40 | |||
Proposed selling Price | 560 | |||
Current variable costs | 300 | |||
Reduction | 20 | |||
Proposed variable costs | 280 | |||
Alternative 3 | ||||
Current Selling price | 600 | |||
Reduction | 5% | |||
Proposed selling Price | 570 | |||
Unit variable costs | 300 | |||
Fixed Costs | 130000 |
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