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The cost, in millions of dollars, of building a three-story high school in New York State was estimated to be
C(x) = 1.7 + 0.1x − 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 $0.14 million dollars per thousand square feet. What is the profit function (in millions of dollars)?
What size school should you build in order to break even? (Round your answer to three decimal places.)