$5.$Sympatico Ltd$,$ has a profit margin of $14\%$ and a dividend payout of $45\%.$ Last year's sales were $$5000$ million and total assets were $$3500$ million. None of the liabilities vary directly with sales, but assets and costs do$.$ If the sales growth rate for Sympatico Ltd$.$ is $15\%,$ how much external financing is needed?

a$)$ $$98\mathrm{.}5$ million

b$)$ $$70\mathrm{.}9$ million

c$)$$$91\mathrm{.}4$ million

d$)$ $$82\mathrm{.}2$ million

e$)$ $$77\mathrm{.}2$ million