A family of functions gx depending on two parameters a and


Question: 1. A family of functions, g(x), depending on two parameters, a and b, such that each member of the family has exactly two critical points and one inflection point. You may want to restrict a and b.

2. Total cost and revenue are approximated by the functions C = 5000 + 2.4q and R = 4q, both in dollars. Identify the fixed cost, marginal cost per item, and the price at which this commodity is sold.

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Mathematics: A family of functions gx depending on two parameters a and
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