Final Answer:
The degree of operating leverage for Young Manufacturing Company is 3.67.
Step-by-step explanation:
The degree of operating leverage (DOL) is calculated using the formula: DOL = (Sales - Variable Costs) / Operating Income. In this case, the sales amount is $500 per unit, and the company plans to sell 600 units, resulting in total sales of $300,000 (600 units * $500).
The variable cost per unit is $400, leading to a total variable cost of $240,000 (600 units * $400). The total fixed cost is $47,000, and the operating income is $30,000. Plugging these values into the formula, we get DOL = ($300,000 - $240,000) / $30,000 = 3.67.
The degree of operating leverage measures the sensitivity of operating income to changes in sales. In this scenario, a DOL of 3.67 indicates that for every 1% change in sales, the operating income will change by 3.67%. This metric helps assess the company's risk and potential profitability under different sales scenarios.