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BEP = Fixed Cost Unit Price - Unit Variable Cost Using the Break Even Point Formula listed above, complete a break even analysis for the following scenario: Touché Toiletries, Inc

Finance Dec 23, 2020

BEP = Fixed Cost Unit Price - Unit Variable Cost Using the Break Even Point Formula listed above, complete a break even analysis for the following scenario: Touché Toiletries, Inc., has developed an addition to its Lizardman Cologne line tentatively branded Ode d'Toade Cologne. Unit variable costs are 45 cents for a 3-ounce bottle, and heavy advertising expenditures in the first year would result in total fixed costs of $900,000. Ode d'Toade Cologne is priced at $7.50 for a 3- ounce bottle. How many bottles of Ode d'Toade must be sold to break even? Suppose that marketing executives for Touché Toiletries reduced the price to $6.50 for a 3-ounce bottle of Ode d'Toade and the fixed costs were $1,100,000. Suppose further that the unit variable cost remained at 45 cents for a 3-ounce bottle. (a) How many bottles must be sold to break even? (b) What dollar profit level would Ode d'Toade achieve if 200,000 bottles were sold?

Expert Solution

Current break-even point in number of bottles = Total Fixed Costs / Contribution Margin per Bottle = $ 900,000 / $ ( 7.50 - 0.45 ) = 127,659.57 bottles.

If unit price is reduced,

Contribution margin per 3-ounce bottle = $ ( 6.50 - 0.45 ) = $ 6.05

a. Number of bottles to be sold to break-even = Total Fixed Costs / Contribution Margin per Bottle = $ 1,100,000 / $ 6.05 = 181,818.18 bottles

b. If 200,000 bottles were sold, total dollar profit = $ 6.05 x 200,000 - $ 1,100,000 = $ 110,000

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