Final answer:
To calculate the net income under each alternative, we need to consider the impact on sales, variable costs, and fixed costs. Alternative 1 involves increasing the unit selling price by 10%, Alternative 2 involves reducing variable costs to 56% of sales, and Alternative 3 involves reducing fixed costs by $18,000. By comparing the net incomes under each alternative, we can determine which course of action will produce the highest net income.
Step-by-step explanation:
To calculate the net income under each alternative, we need to consider the different courses of action and their impact on sales, variable costs, and fixed costs.
- Alternative 1: Increasing the unit selling price by 10% would result in a new selling price of $79.20 (72 x 1.10). Since there is no change in variable costs or sales volume, the net income would be:
Net Income = (Selling Price x Sales Volume) - Variable Costs - Fixed Costs
Net Income = ($79.20 x 5,000) - $223,000 - $70,800
- Alternative 2: Reducing variable costs to 56% of sales would result in a new variable cost of $168,800 ($300,000 x 0.56). The net income would be:
Net Income = (Selling Price x Sales Volume) - Variable Costs - Fixed Costs
Net Income = ($72 x 5,000) - $168,800 - $70,800
- Alternative 3: Reducing fixed costs by $18,000 would result in new fixed costs of $52,800 ($70,800 - $18,000). The net income would be:
Net Income = (Selling Price x Sales Volume) - Variable Costs - Fixed Costs
Net Income = ($72 x 5,000) - $223,000 - $52,800
By comparing the net incomes under each alternative, we can determine which course of action would produce the highest net income.