Final answer:
To support an expected 18% increase in sales, the Bohemian Manufacturing Company needs to increase total assets by $1,316,460, after accounting for the retained earnings of $220,000 from the net income.
Step-by-step explanation:
To calculate the increase in total assets necessary to support the expected increase in sales using the additional funds needed (AFN) equation, we first need to determine several key figures:
- The firm's sales are expected to increase by 18%, so the projected sales for this year are $13,500,000 * 1.18 = $15,930,000.
- The firm's net income is $400,000, and they will retain 55% (100% - 45% dividend payout ratio) of this, which is $400,000 * 0.55 = $220,000.
- The total assets at the end of last year were $150,000 + $400,000 + $350,000 + $2,100,000 = $3,000,000.
Next, we assume that the firm's assets vary directly with sales, and calculate the assets needed per dollar of sales: $3,000,000 / $13,500,000 = $0.222 per dollar of sales. The projected increase in total assets needed to support the new level of sales is thus $15,930,000 * $0.222 - $3,000,000. However, since the firm will retain $220,000 of earnings, the AFN will be this result minus the retained earnings. We calculate:
- Additional Assets Required = $15,930,000 * $0.222 - $3,000,000 = $1,536,460
- AFN = Additional Assets Required - Retained Earnings = $1,536,460 - $220,000 = $1,316,460
The increase in total assets necessary to support the expected sales is, therefore, $1,316,460.