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Exercise 3.27 Stellar produces one single product, a small reading tablet, and sells it at $130 per unit. Its current annualIf Stellar would like to earn a profit after tax of $15,000, what should the sales be? At this sales level, what is the degre

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Answer #1

.1. Contribution = Selling Price - variable Cost = 130- (39+52) = 39.

2. Contribution margin ratio = Contribution / sales = 39/130 = 0.30

3. Break even point = Fixed cost/ Contribution per unit

Fixed cost = 62400+15600+31200+12480 = 121680

Break even point = 121680/39 = 3120 units

4. For this part, we need to do backward calculation.

Profit after tax = 16000 (as per image)

Tax rate is 20%, so profit before tax = 16000/0.8 = 20000

Fixed cost = 121680

Contribution = Fixed cost + profit before tax = 121680+20000= 141680

now, let the sales be x,

Total Sales - total variable cost = total contribution

130x-91x = 141680

39x = 141680

x = 3633 units

Total sales = 3633*130= $472290

Operating Leverage = Contribution/EBIT = 141680/20000 = 7.084

margin of safety (in units) = Actual Sales - Break even sales

Actual sales = 312000/130= 2400, since actual sales are less than break even sales, margin of safety cannot be calculated.

Total sales be = (Fixed cost + desired profit )/ contribution per unit = (121680+ units to be sold * 0.08* 130)/39 = units to be sold

Let units sold be x

X = 4255 units.

Total sales = 4255*130 = 553150

Units increased = (4255-2400)2400 = 77.29%increase in sales.

Let me know if you have any doubts or query in this answer.

and sorry for the answer which i have given before.

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