Final answer:
The external financing needed for the firm after an 11 percent increase in sales is $2,304.
Step-by-step explanation:
With an 11 percent increase in sales, projected sales for next year are $36,200 * 1.11 = $40,182. Net working capital is current assets minus current liabilities. At the end of the year, it was $11,800 - $3,950 = $7,850. An 11 percent increase in net working capital will require $7,850 * 1.11 = $8,713.50.
Net fixed assets will also increase by 11 percent. With a current level of $27,600, the new level will be $27,600 * 1.11 = $30,636. Therefore, the total projected assets will be $11,800 (current assets) + $27,600 (net fixed assets) = $39,400 * 1.11 = $43,734. To support the new sales level, the firm will need total assets of $43,734. The current total assets are $39,400.
Thus, we need an additional $43,734 - $39,400 = $4,334 in assets. The retained earnings are currently $8,250, and the net income is $2,900. $2,900 * (1 - $870 / $2,900) = $2,030 retained earnings increase. Thus, we subtract this from the additional assets needed: $4,334 - $2,030 = $2,304.