$(30$ points$))$ John just sold his vacation home for $$1\mathrm{.}5$ million and would like to invest most or all of the

money received for a period of $6$ years. He is considering the following two long$-$term investment opportunities.

Company A is seeking $$1\mathrm{.}35$ million for an ongoing project and is expected to return a lump sum of $$2\mathrm{.}142$

million after $6$ years. Company B requires an initial investment of $$1\mathrm{.}5$ million for a new project and promises

to return a lump sum of $$2\mathrm{.}367$ million after $6$ years. If John's MARR is $7\mathrm{.}5\%$ per year compounded annually,

which investment opportunity should he choose, if any? Solve using the internal rate of return $($IRR$)$ method.

You must find IRR to the nearest whole $\%.$