3. Cost minimization. Suppose the costs of a particular product line are well modeled by the following quadratic function. C(q) = q^2 - 5q + 150 (a) Use the vertex form approach developed at the beginning of the class to deter- mine the q where the minimum cost occurs. (b) Use the optimization approach developed with derivatives to find the q where the minimum cost occurs. (c) Verify that your optimal q in both (a) and (b) match. (If they do not, then seek assistance, or correct your work)
Added by Jose Carlos P.
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To do this, we complete the square: C(q) = q^2 - 5q + 150 C(q) = (q - 2.5)^2 - 6.25 + 150 C(q) = (q - 2.5)^2 + 143.75 Show more…
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