A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost $$30$ 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 $3\%$ per

year. Based on a $3\%$ MARR, what is the capitalized cost for the solid waste treatment plant?

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