
Working Note:
| Particulars | Total Amount | Variable expenses | Fixed expenses |
| Cost of goods sold | 474,500.00 | ||
| Selling expenses | 125,000.00 | 93750 | 31250 |
| Wages | 100,000.00 | 0 | 100,000.00 |
| Administrtive expenses | 75,000.00 | 22500 | 52500 |
| Advertising expenses | 25,000.00 | 0 | 25,000.00 |
| Sales | $ 850,000.00 | ||
| Sales unit | 17,000.00 | units | |
| Sale Price | $ 50.00 | Per unit |
Here Cost of goods will include 'wages' too since wages is a direct expense for the production.
Since 'wages' expense is fixed, cost of goods includes a fixed expense of $ 100000
Cost of goods excluding wages expense = 474500-100000
= 374500
(a)
| Contribution Margin Income Statement for the year ended January 31,2020 | ||||
| Particulars | Per unit | Amount | Amount | % |
| Sales | 50.00 | 850,000.00 | 100% | |
| Less: Variable Cost | ||||
| Cost of Goods sold | 22.03 | 374,500.00 | 44.06% | |
| Administrtive expenses | 1.32 | 22,500.00 | 2.65% | |
| Selling expenses | 5.51 | 93,750.00 | 11.03% | |
| 28.87 | 490,750.00 | 57.74% | ||
| Contribution Margin | 21.13 | 359,250.00 | 42.26% | |
| Less: Fixed Cost | ||||
| Cost of goods sold(wages) | 100,000.00 | 11.76% | ||
| Administrative expenses | 52,500.00 | 6.18% | ||
| Advertising expenses | 25,000.00 | 2.94% | ||
| Selling expenses | 31,250.00 | 3.68% | ||
| 208,750.00 | 24.56% | |||
| Net Income | 8.85 | 150,500.00 | 17.71% | |
Note: Fixed cost per unit is not included in ' contribution margin income statement' since its usually accepted practice to not show fixed cost per unit. However the student may include it if that's necessary as per his study materials.
(b) Break even point( in units) = Total fixed cost/ Contribution per unit
= 208750/21.13
= 9879.32 units or
= 9880 units (rounded)
Break even point (in dollar) = Total fixed cost/ Contribution margin ratio
= 208750 / 42.26%
= $ 493965.93 or
= $ 494000(rounded)
Contribution margin ratio= Contribution/ Total revenue
= 359250/850000
= 42.26%
Alternatively Break even point (in dollar)=Break even point( in units) * selling price $ 50
= 9880 units * $ 50
= $ 494000
(c) Margin of safety = Actual sales - Break even sales
= 850000- 494000
= $ 356000
Degree of operating leverage= (Total Sales – Variable costs) / (Total Sales – Variable costs - Fixed costs)
= (850000 - 490750) / (850000 - 490750 - 208750)
= 359250 / 150500
= 2.3870
=2.39(rounded)
(d) (1)
| If Sales commision is given:- | |||
| Particulars | Amount | Amount | Calculations |
| Sales | 977,500.00 | 850000* 115% (19550 units) | |
| Less: Variable Cost | |||
| Cost of Goods sold | 430,675.00 | (374500*115%) | |
| Administrtive expenses | 25,875.00 | (22500*115%) | |
| Selling expenses | 107,812.50 | (93750*115%) | |
| Selling commission | 39,100.00 | 19550*$2 | |
| 603,462.50 | |||
| Contribution Margin | 374,037.50 | ||
| Less: Fixed Cost | |||
| Cost of goods sold(wages) | 90,000.00 | ||
| Administrative expenses | 52,500.00 | ||
| Advertising expenses | 25,000.00 | ||
| Selling expenses | 31,250.00 | ||
| 198,750.00 | |||
| Net Income | 175,287.50 |
(2)
| If selling price decrease by 10% & increase advertising cost by $ 5000 | ||||
| New sales= 17000+5000 | 22,000.00 | |||
| New selling price= 50* 90% | 45.00 | |||
| New advertising cost | 30,000.00 | |||
| Particulars | Amount | Amount | Units | Calculation |
| Sales | 990,000.00 | 22,000.0 | 22000*45 | |
| Less: Variable Cost | ||||
| Cost of Goods sold | 484,647.06 | (374500/17000)*22000 | ||
| Administrative expenses | 29,117.65 | (22500/17000)*22000 | ||
| Selling expenses | 121,323.53 | (93750/17000)*22000 | ||
| 635,088.24 | ||||
| Contribution Margin | 354,911.76 | |||
| Less: Fixed Cost | ||||
| Cost of goods sold(wages) | 100,000.00 | |||
| Administrtive expenses | 52,500.00 | |||
| Advertising expenses | 30,000.00 | 25000+5000 | ||
| Selling expenses | 31,250.00 | |||
| 213,750.00 | ||||
| Net Income | 141,161.76 | |||
MEMO
As per the first option, Net income is $175,287
As per second option, net income is $ 141,161.76
So , there is a increase profit of 34,125.24 with the first option. Hence that is more preferable.
| 1st option | 2nd option | |
| Fixed cost | 198,750.00 | 213,750.00 |
| Contribution | 374,037.50 | 354,911.00 |
| Units | 19,550.00 | 22,000.00 |
| Contribution per unit | 19.13 | 16.13 |
| Breakeven point | 10,388.16 | 13,249.80 |
Additionally Contribution per unit is more for option 1. And break even point is less for option 1.
Hence OPTION 1 is preferrable
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A-F for reference. Just need help with G & H.
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