Acme, INC is the target of a takeover. It is currently trading at $$35$ per share and has $250$ million shares outstanding. FELIX, INC will offer a $25\%$ premium above the current stock price. FELIX, INC currently has a stock price of $$45$ and has $800$ million shares outstanding. Neither firm has any debt. The acquisition will be financed entirely with stock. Please show in tables with formula's in Excel

$1.$ How many new shares of the FELIX, Inc must be issued in order to complete the acquisition of Acme, INC?

$2.$ If expected synergies are $700$ million, will the price of the FELIX, INC go up or down after the acquisition? By how much? Explain why you are finding an increase or decrease in FELIX, INC stock price.