Question Completion:
Assume the following:
Selling price per unit = $54
Current total variable cost = $24.50
Total Fixed Costs = $69,000
Answer:
Chester
To break-even on product Cat, Chester needs to sell 2,379 units instead of 2,339 units.
Explanation:
a) Calculations:
New variable cost will increase by ($3.40 - $2.90)/2 = $0.25
New variable costs will be = $24.75 ($24.50 + $0.25)
Contribution margin per unit = $29.25 ($54 - $24.75)
New fixed costs = $69,000 + ($0.25 * 2,339) = $69,585
Old break-even units = $69,000/$29.50 = 2,339 units
New break-even units = Fixed cost/contribution margin per unit
= $69,585/$29.25
= 2,379 units
b) Chester's break-even point in units is calculated by using the break-even formula: Fixed Costs ÷ (Sales price per unit – Variable costs per unit) or $69,585/$29.25. The variable cost per unit includes only the cost that will be passed to customers. This means that half of the labor cost is regarded as variable, while the other half is taken is fixed cost.
