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The sale price will be 3.50 for a hot dog, potato chips and a drink. The project

ID: 2578906 • Letter: T

Question

The sale price will be 3.50 for a hot dog, potato chips and a drink. The projected cost per sale is 1.35. Condiments are projected to be $ .35 per sale. The hot dog cart will be leased for a 12 month period for $ 425 per month. Liability insurance will be $ 1,200 per year. The owner wants to earn $ 20,000 per year and assumes a tax rate of 20%. An annual profit is projected to be $ 10,000.

.

1 What are the total variable costs per unit?

2 What is the contribution margin ratio?

3 What are the total fixed costs?

4 What are the total expenses per the income statement?     

5 How many units must be sold per year?

6 If the sales price changes to $ 4.00 and the owner salary changes to $ 15,000, how many units must be sold?

Explanation / Answer

1.

Variable cost is the amount of spending which is directly related to number of units. Increasing unit increases such cost, and vice versa.

Total variable cost = Cost per sale + Condiments per sale

                               = $1.35 + $0.35

                               = $1.7 per unit (Answer)

2.

Contribution per unit = Sale price – Total variable cost per unit

                                    = $3.50 - $1.70

                                    = $1.80

Contribution margin ratio = (Contribution per unit / Sale price) × 100

                                          = ($1.80 / $3.50) × 100

                                          = 51.43% (Answer)

3.

Fixed cost is the amount of spending which is not related to number of units; suppose rent of a factory building may not be increased or decreased by the change in factory production; therefore, rent is a fixed cost.

Total fixed cost = Lease expense + Insurance premium

                        = (12 × $425) + $1,200

                        = $5,100 + $1,200

                        = $6,300 (Answer)

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