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sland Novelties, Inc., of Palau makes two products—Hawaiian Fantasy and Tahitian Joy. Each product's selling price,...

sland Novelties, Inc., of Palau makes two products—Hawaiian Fantasy and Tahitian Joy. Each product's selling price, variable expense per unit and annual sales volume are as follows:

Hawaiian Fantasy Tahitian Joy
Selling price per unit $ 20 $ 110
Variable expense per unit $ 9 $ 33
Number of units sold annually 22,000 6,000

Fixed expenses total $664,000 per year.

Required:

1. Assuming the sales mix given above, do the following:

a. Prepare a contribution format income statement showing both dollar and percent columns for each product and for the company as a whole.

b. Compute the company's break-even point in dollar sales. Also, compute its margin of safety in dollars and its margin of safety percentage.

2. The company has developed a new product called Samoan Delight that sells for $30 each and that has variable expenses of $24 per unit. If the company can sell 22,000 units of Samoan Delight without incurring any additional fixed expenses:

a. Prepare a revised contribution format income statement that includes Samoan Delight. Assume that sales of the other two products does not change.

b. Compute the company’s revised break-even point in dollar sales. Also, compute its revised margin of safety in dollars and margin of safety percentage.

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Answer #1
1) Hawaiian Fantasy Tahitian Joy Total
a) % % %
Sales (22000*20/6000*110) 440000 100.00% 660000 100.00% 1100000 100.00%
Variable cost (22000*9+6000*33) 198000 45.00% 198000 30.00% 396000 36.00%
Contribution margin 242000 55.00% 462000 70.00% 704000 64.00%
Fixed expenses 664000 60.36%
Net operating income 40000 3.64%
b) BEP in dollars = Fixed cost/CM ratio = 664000/64% = 1037500
Margin of safety in dollars = Current sales-BEP sales = 1100000-1037500 = 62500
Margin of safety in %= (Current sales-BEP sales)/Current sales = (1100000-1037500)/1100000 = 5.68%
2)
a) Hawaiian Fantasy Tahitian Joy Samoan Delight Total
% % % %
Sales (22000*20/6000*110/22000*30) 440000 100.00% 660000 100.00% 660000 100.00% 1760000 100.00%
Variable cost (22000*9+6000*33) 198000 45.00% 198000 30.00% 528000 80.00% 924000 52.50%
Contribution margin 242000 55.00% 462000 70.00% 132000 20.00% 836000 47.50%
Fixed expenses 664000 37.73%
Net operating income 172000 9.77%
BEP in dollars = Fixed cost/CM ratio = 664000/47.50% = 1397895
Margin of safety in dollars = Current sales-BEP sales = 1760000-1397895 = 362105
Margin of safety in %= (Current sales-BEP sales)/Current sales = (1760000-1397895)/1760000 = 20.57%
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