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Carlsbad Corporation's sales are expected to increase from $$5$ million in $2021$ to $$6$ million in $2022,$ or by $20\%.$ Its assets totaled $$3$ million at the end of $2021.$ Carlsbad is at full capacity, so its assets must grow in proportion to projected sales. At the end of $2021,$ current liabilities are $$1$ million, consisting of $$250,000$ of accounts payable, $$500,000$ of notes payable, and $$250,000$ of accrued liabilities. Its profit margin is forecasted to be $7\%.$

a$.$ Assume that the company pays no dividends. Use the AFN equation to forecast the additional funds Carlsbad will need for the coming year. Write out yo answer completely. For example, $5$ million should be entered as $5,000,000.$ Round your answer to the nearest dollar. $

b$.$ Why is this AFN different from the one when the company pays dividends?

I. Under this scenario the company would have a higher level of retained earnings, which would reduce the amount of assets needed.

II$.$ Under this scenario the company would have a higher level of spontaneous liabilities, which would reduce the amount of additional funds nee

III. Under this scenario the company would have a lower level of retained earnings, which would increase the amount of additional funds needed

IV$.$ Under this scenario the company would have a lower level of retained earnings, which would decrease the amount of additional funds neede

v$.$ Under this scenario the company would have a higher level of retained earnings, which would reduce the amount of additional funds needed