Final answer:
To calculate the projected increase in retained earnings, multiply the sales by the net profit margin, calculate the dividends by multiplying the net profit by the dividend payout ratio, and then subtract the dividends from the net profit.
Step-by-step explanation:
To calculate the projected increase in retained earnings, we need to determine the net profit and the dividend payout.
Net profit = Sales * Net Profit Margin
Dividends = Net Profit * Dividend Payout Ratio
Retained Earnings = Net Profit - Dividends
Substituting the given values, we have:
Net Profit = $763,500 * 0.053 = $40,465.50
Dividends = $40,465.50 * 0.18 = $7,283.79
Projected Increase in Retained Earnings = $40,465.50 - $7,283.79 = $33,181.71
Therefore, the projected increase in retained earnings is $33,181.71 (Option A).