A manufacturer of gas grills has daily production costs of C = 400 – 5x + 0.125x2, where x is the number of gas grills produced. How many units should be produced each day to yield a minimum cost?

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A manufacturer of gas grills has daily production costs of C = 400 – 5x + 0.125x2, where x is the number of gas grills produced. How many units should be produced each day to yield a minimum cost?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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|dw:1436384081867:dw| hint : it is a quadratic function , so find minimum by finding c'(x) c'(x)=0 x_min is the root(s) of c'=0
\[C = 400 – 5x + 0.125x^2,\] right?
minimum is the second coordinate of the vertex first coordinate of the vertex is always \[-\frac{b}{2a}\] which in your case is \[-\frac{-5}{2\times .125}=20\]

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oh they just want the number to make, that answer is 20

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