Question

Schylar Pharmaceuticals, Inc., plans to sell 130,000 units of antibiotic at an average price of $22 each in the coming year.

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Answer #1

1. Per Unit Variable Cost = Variable Cost / Units

= $ 1,086,800 / 130,000 Units

= $ 8.36 Per Unit

Contribution Margin per unit = Selling price per unit - Per Unit Variable Cost

= $ 22 - $ 8.36

= $ 13.64

Contribution Margin ratio = Contribution Margin per unit / Selling Price Per Unit * 100

= $ 13.64 / $ 22 *100

= 0.62

2.Break Even Sales = Fixed Cost /  Contribution Margin ratio

= $ 8,000,000 / 0.62

= $ 12,903,226

3.

Required Contribution Margin = Fixed Cost + Required Profit

= $ 8,000,000 + $ 245,000

= $ 8,245,000

Contribution Margin ratio = 0.62

Hence, Sales revenue required = Required Contribution Margin / Contribution Margin ratio

= $ 8,245,000 /0.62

= $ 13,298,387.10

= $ 13,298,387

4.

a. Contribution Margin per unit = Selling price per unit - Per Unit Variable Cost

= $ 23.50 - $ 8.36

= $ 15.14

b. Contribution Margin ratio = Contribution Margin per unit / Selling Price Per Unit * 100

= $ 15.14/ $ 23.5 *100

= 0.6443

c.

Break Even Sales = Fixed Cost /  Contribution Margin ratio

= $ 8,000,000 / 0.6443

= $ 12,416,576

d.

Required Contribution Margin = Fixed Cost + Required Profit

= $ 8,000,000 + $ 245,000

= $ 8,245,000

Contribution Margin ratio = 0.6443

Hence, Sales revenue required = Required Contribution Margin / Contribution Margin ratio

= $ 8,245,000 /0.6443

= $ 12,796,834

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