You are an analyst for Whoville Industries. Your company may be obtaining a gorfling wumbus. In just under $4$ years, it will lay a golden egg. There is a $36\%$ chance of that egg being large. A large egg could be sold for $1,400,000$ WhoLoots. There is a $29\%$ chance of that egg being medium. A medium egg could be sold for $700,000$ WhoLoots. There is a $35\%$ chance of that egg being small. A small egg could be sold for $200,000$ WhoLoots. In $6$ additional years, it will lay another egg. There is a $44\%$ chance of that egg being platinum. A platinum egg could be sold for $2,200,000$ WhoLoots. There is a $56\%$ chance of that egg being lead. A lead egg could be sold for $89$ WhoLoots. The likelihood of the second egg being platinum is independent of the size of the first egg. Eggs are laid on December $31$st$.$ Today is January $1$st$.$ The appropriate discount rate is $12\mathrm{.}0\%$ per year. The cost of maintaining a gorfling wumbus is $90,000$ WhoLoots per year spent at the beginning of each year including the year obtained. Immediately after the second egg is laid, you sell the gorfling wumbus for $170,000$ WhoLoots.

What is the expected net present value of possessing a gorfling wumbus?