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A company is planning to build an engineering lab at a nearbyuniversity through a grant. The building should initially cost$50,000,000 and maintenance cost(end of year) are expected to be$200,000 per year for the first 3 years, $300,000 per year for thenext 4 years, and then $400,000 per year after. If the grant willbe invested at 10%, how large a donation must the company make?(assume the term is unlimited and lab lasts forever)
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