Izzy Ice Cream has the following price and cost information: Price per 2-scoop sundae $ 5.00 Variable cost per sundae: Ingredients 1.35 Direct labor 0.45 Overhead 0.20 Fixed cost per month $ 5,100 Required: 1. Determine Izzy’s break-even point in units and sales dollars. 2. Determine how many sundaes must be sold to generate a profit of $10,200. 3. Calculate Izzy’s new break-even point for each of the following independent scenarios: a. Sales price decreases by $0.50. b. Fixed costs decrease by $300 per month. c. Variable costs increase by $0.50 per sundae. 4. Based on the original information, how many sundaes must Izzy sell to generate a profit of $24,000, if sales price increases by $0.50 and variable costs increase by $0.30?

Instructions are listed below.

Explanation:

Giving the following information:

Price per 2-scoop sundae $ 5.00

Variable cost per sundae:

Ingredients 1.35

Direct labor 0.45

Overhead 0.20

Total variable cost= $2

Fixed cost per month $ 5,100

1. Determine Izzy’s break-even point in units and sales dollars.

Break-even point (units)= fixed costs/ contribution margin

Break-even point (units)= 5,100/ (5 - 2)= 1,700 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 5,100/ (3/5)=$8,500

2. Determine how many sundaes must be sold to generate a profit of $10,200.

Break-even point (units)= (fixed costs + profit)/ contribution margin

Break-even point (units)= (5,100+ 10,200) / 3= 5,100 units

3. a. Sales price decreases by $0.50.

Break-even point (units)= 5,100/ (4.5 - 2)= 2,040 units

b. Fixed costs decrease by $300 per month.

Break-even point (units)= 4,800/3= 1,600 units

c. Variable costs increase by $0.50 per sundae.

Break-even point (units)= 5,100/ (5 - 2.5)=2,040 units

4. How many sundaes must Izzy sell to generate a profit of $24,000, if sales price increases by $0.50 and variable costs increase by $0.30

Break-even point (units)= (5,100 + 24,000) / (5.5 - 2.3)= 9,094 units