The cost, in millions of dollars, of building a three-story high school in New York State was estimated to be
C(x) = 2.3 + 0.12x − 0.0001x2 (20 ≤ x ≤ 400)
where x is the number of thousands of square feet. Suppose that you are contemplating building a for-profit three-story high school and estimate that your total revenue will be $0.2 million dollars per thousand square feet. What is the profit function (in millions of dollars)?
P(x) =
What size school should you build in order to break even? (Round
your answer to three decimal places.)
________thousand ft2
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