A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost $$40$ million $($M$).$ After $10$

years, minor repair and renovation $(R$&$R)$ will occur at a cost of $$10M$ will be required; after $20$ years, a major $R$&$R$ costing $$20M$ will

be required. The investment pattern will repeat every $20$ years. Each year during the $20-$year period, operating and maintenance

$(O$&$M)$ costs will occur. The first year, O&M costs will total $$2M.$ Thereafter, O&M costs will increase at a compound rate of $4\%$ per

year. Based on a $4\%$ MARR, what is the capitalized cost for the solid waste treatment plant?

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Carry all interim calculations to $5$ decimal places and then round your final answer to a whole number. The tolerance is $+-25,000.$

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