Alexican Corp. is looking at acquiring Bellamy $,$ Inc. in an all cash deal $.$ Alexican has $135,500$ shares outstanding at $ $56$ per share and Bellamy $,$ a private company $,$ has expected annual cash flows of $ $265,000$ per year $($ forever $).$ Both firms have an $8\%$ cost of capital $.$ Alexican Corp. anticipates that with their marketing & sales expertise $,$ they would be able to increase Bellamy's annual cash flows by $4\%$ annually if the firms combine $.$ What is the maximum cash price Alexican should offer $?$