Final answer:
The question involves determining whether Conn Man's Shops will require external financing after a projected 10% increase in sales and changes in net profit margins and dividend payout ratios. The firm's balance sheet items are expected to maintain the same percent-of-sales relationships, except for common stock and retained earnings, which will change according to profits and dividend policy.
Step-by-step explanation:
The problem involves calculating whether external financing will be required for Conn Man's Shops given a projected sales increase and changes in net profit margins and dividend payout ratios. A firm's accounting profit is found by subtracting the total costs from the total sales. In a scenario where the company had sales of $1 million and costs adding up to $950,000 ($600,000 on labor, $150,000 on capital, and $200,000 on materials), the accounting profit would be $50,000. However, for Conn Man's Shops, we need to analyze the impact of a 10% increase in sales on the balance sheet and whether this leads to a need for external funding. Specifically, we must consider a situation where the net profit margin goes up to 7.50 percent and the dividend payout ratio increases to 60 percent.
If the sales increase by 10 percent to $407 million, and assuming that all other balance sheet items continue in the same proportion of sales (as per the question's premise), the increased profit needs to be calculated at the new margin, and then the dividend payment would be 60 percent of that amount. Finally, we'd examine the resulting retained earnings and determine if this internal financing suffices the additional assets required for the sales increase or if external financing is needed.