A leading beverage company sells its signature soft drink brand in vending machines for $0.79 per 12 oz. can. A vending machine has monthly fixed costs of space rental, energy consumption, and capital depreciation of $145. Variable cost for a can of soda is $0.47. What would the new selling price of the soda need to be in order to achieve a 20% increase in the contribution per unit after the increase in the price of sugar?

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Answer:

Selling price = $0.89

Explanation:

Contribution per unit before price change = Selling price - variable cost = $0.72 - $0.32 = $0.40

A 20% increase in contribution is required. New contribution should be $0.4 + 20% of $0.4 = $0.48

Thus we have,

Contribution per unit = Selling price - variable cost

0.48 = selling price - 0.41

Selling price = $0.89

The new selling price of the soda need to be in order to achieve a 20% increase in the contribution per unit is $0.89.

What is contribution per unit?

Contribution per unit is defined as the remaining profit leave behind on the sale of a unit, after all variable expenses have been deducted from the incidental revenue.

This content is helpful for ascertaining the minimal achievable price at which to sell a product.

Computation of contribution per unit:

[tex]\text{Contribution Per Unit Before Price Change} = \text{Selling Price} - \text{Variable Cost}\\\\\text{Contribution Per Unit Before Price Change} = \$0.72 - \$0.32\\\\\text{Contribution Per Unit Before Price Change} = \$0.40[/tex]

As per the given, information 20% raise in contribution is needed. New contribution should be:

[tex]\text{Contribution Per Unit Before Price Change}+20\% \text{of} \text{Contribution Per Unit Before Price Change}\\\\\ = $0.4 + 20\%\ \text {of}\ \$0.4\\= $0.48[/tex]

Thus, we have,

[tex]\text{Contribution Per Unit} = \text{Selling Price - Variable Cost}\\\\0.48 = \text{Selling Price} - 0.41\\\\\text{Selling Price} = \$0.89[/tex]

Therefore, new selling price is $0.89.

To learn more about the contribution per unit, refer to:

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