Posted: January 20th, 2021

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 − 0.0001x^{2} (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)?

P(x) =

What size school should you build in order to break even? (Round your answer to three decimal places.)

thousand ft^{2}

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