Jeff has $$4\mathrm{.}5$ million available to invest. He is considering two investment options Option A requires an initial investment of $$4\mathrm{.}2$ million and Option B requires an initial investment of $$4\mathrm{.}5$ million. Each option is expected to generate returns over a $10-$year period. Option A is expected to generate a return of $$450,000$ for the first year with annual returns for the subsequent years increasing by $$90,000$ per year. OptionB is expected to generate a return of $$360,000$ for the first year with annual returns for the subsequent years increasing by $20\%$ per year. The companys TVOM is $8\%$ per year compounded annually. a$)(8$ points$)$ Compute the present worth for Option A$.$b$)(8$ points$)$ Compute the present worth of for Option B$.$ c$)(4$ points$)$ Based on the above present worth calculations, which option should Jeff choose, if any? Explain.