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Mathematics - Calculus - Minimizing Cost

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A surfboard manufacturing company has determined that the cost function c(x), in hundreds of dollars, for producing x hundreds of boards is c(x) = .2x^2 -.84x + 3.625.
How many surfboards should the company make to minimize production costs?

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The expert uses calculus to determine minimizing costs. A complete, neat and step-by-step solution is provided in the attached file.

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C(x) = 0.2x^2 - 0.84x + 3.625 is a quadratic function (a = 0.2, b = -0.84, c = 3.625) and its graph is a parabola. The ...

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