Carter Paint Company has plants in four provinces. Sales last year were $$100$ million, and the balance sheet at year$-$end is similar in percent of sales to that of previous years $($and this will continue in the future$).$ All assets and current liabilities will vary directly with sales. Assume the firm is already using capital assets at full capacity.

Balance Sheet

$($in $ millions$)$

Assets Liabilities and Shareholders' Equity

Cash $$4$ Accounts payable $$5$

Accounts receivable $9$ Accrued wages $3$

Inventory $30$ Accrued taxes $2$

Current assets $43$ Current liabilities $10$

Capital assets $43$ Long$-$term debt $10$

Common stock $15$

Retained earnings $51$

Total assets $$86$ Total liabilities and shareholders' equity $$86$

The firm has an aftertax profit margin of $4$ percent and a dividend payout ratio of $20$ percent.

a$.$ If sales grow by $15$ percent next year, determine how many dollars of new funds are needed to finance the expansion. $($Do not round intermediate calculations. Enter the answer in millions. Round the final answer to $3$ decimal places.$)$

The firm needs $

million in external funds.