Answer:
Jay-Zee Company
1. Sales commission per unit sold is:
= $16.
The Contribution margin per unit is:
= $184.
2. Break-even units are:
= 3,350 units
Income Statement for 3,350 units:
Sales revenue $1,072,000 ($320 * 3,350)
Variable cost of goods sold 455,600 ($136 * 3,350)
Contribution margin $616,400 ($184 * 3,350)
Fixed costs:
Factory overhead $500,000
Selling and administrative 116,400
Total fixed costs $616,400
Net operating income $0
3. Units to sell to achieve income of $333,408 are:
= 5,162 units
4. The number of units needed would decrease.
The number of units needed for the new target operating income is:
= 5,100 units.
Step-by-step explanation:
a) Data and Calculations:
Planned sales unit for the next year = 16,000
Sales price per unit = $320
Product costs:
Direct materials $68
Direct labor $40
Variable overhead $12
Total fixed factory overhead $500,000
Variable selling expense = $16 ($320 * 5%)
Fixed selling and administrative expenses = $116,400
Total variable costs per unit = $136
Contribution margin per unit = $184 ($320 - $136)
Total fixed costs = $616,400 ($500,000 + $116,400)
To break-even, units to sell = $616,400/$184 = 3,350 units
Units to sell to achieve a profit target of $333,408:
= $616,400+ $333,408/$184
= 5,162 units
Units to sell to achieve a profit target of $333,408:
= $616,400+ $322,000/$184
= 5,100 units