Chauhan Corporation has a debt$-$equity ratio of $\mathrm{.}80.$ The company is considering a new plant that will cost $$103$ million to build. When the company issues new equity, it incurs a flotation cost of $7\mathrm{.}3$ percent. The flotation cost on new debt is $2\mathrm{.}8$ 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 number, e$.$g$.,1,234,567.)$

b$.$ What is the initial cost of the plant if the company typically uses $55$ percent retained earnings? $($Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole number, 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 number, e$.$g$.,1,234,567.)$