Final answer:
We first calculate the percentage increase in assets, costs, and current liabilities based on the projected increase in sales.
Step-by-step explanation:
To determine the external financing need if the firm is currently operating at full capacity, we need to calculate the increase in assets, costs, and current liabilities that would result from the projected increase in sales. For example, if sales increase by 7 percent, then current assets, costs, and current liabilities would also increase by 7 percent.
Given the current values, we can calculate the increase in each item: Current assets increase: $3,018 * 7% = $211.26. Costs increase: $15,250 * 7% = $1,067.50. Current liabilities increase: $2,940 * 7% = $205.80. To determine the external financing need, we subtract the increase in current liabilities from the increase in current assets and costs:
External financing need = $211.26 + $1,067.50 - $205.80 = $1,073.96. Therefore, the external financing need if the firm is operating at full capacity is $1,073.96.