Varian Corp. wishes to acquire Tanis Corp. Varian has offered $0\mathrm{.}45$ shares of its stock plus $$2$ in cash

for each share of Tanis. Analysts project synergies of $$30$M from the combination. Varian has $3$M

shares and a stock price of $$20.$ Tanis has $2$M shares and a stock price of $$9.$ Find the expected share

price of the new firm.