Trower Corp. has a debt$-$equity ratio of $\mathrm{.}85.$ The company is considering a new plant that will cost $$111$ million to build. When the company issues new equity, it incurs a flotation cost of $8\mathrm{.}1$ percent. The flotation cost on new debt is $3\mathrm{.}6$ percent.

a$.$ What is the initial cost of the plant if the company raises all equity externally? $($Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar, e$.$g$.,1,234,567.)$

b$.$ What is the initial cost of the plant if the company typically uses $65$ percent retained earnings? $($Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar, e$.$g$.,1,234,567.)$

c$.$ What is the initial cost of the plant if the company typically uses $100$ percent retained earnings? $($Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar, e$.$g$.,1,234,567.)$