Firms A and $B$ are competitors. Both have similar assets and business risks and are all$-$equity firms. Firm A has after$-$tax cash flow of $$20,000$ per year forever and firm $B$ has after$-$tax cash flow of $$150,000$ per year forever. If the two firms merge, the perpetual after$-$tax cash flow will be $$179,000.$ If the appropriate discount rate is $15\%$ what is the MOST B will pay for A$?$

a$.$ $$193,333$

b$.$ $$9,000$

c $$20,000$

d$.$ $$60,000$

e$.$ $$133,333$