Question: suppose the demand function for q unit of a certain product is p=20+10e^0.1q , q > 1, where p is in dollars. Suppose further that

  1. suppose the demand function for q unit of a certain product is p=20+10e^0.1q , q > 1, where p is in dollars. Suppose further that the cost function in dollars for q units of this product is C(q)=10+20q. Find a) the profit function in q, b) marginal profit function. What is the maximum profit?
  2. Find all the critical points and the points of inflection of e^-x^2. Use the second derivative test to verify relative extrema.

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