Ben's Bargain Co$.$ is looking at acquiring Sal's Econo Store in an all cash deal. Ben's Bargains has $242,500$ shares outstanding at $$50$ per share and Sal's, a private company, has expected annual cash flows of $$340,000$ per year $($forever$).$ Both firms have an $8\%$ cost of capital. With Ben's marketing & sales expertise, they feel would be able to increase Sal's annual cash flows by $4\%$ annually if the firms combine. What is the maximum cash price Ben's Bargain Co$.$ should offer?

$$4,250,000$

$$8,187,500$

$$4,420,000$

$$8,500,000$

$$12,125,000$