# 1. Show that the optimal levels of P and S in the application about advertising represent a point…

1. Show that the optimal levels of P and S in the application about advertising represent a point where profits are maximized using the second-order conditions. 2. Generalizing your results to question 1, give the sufficient condition for identifying a stationary point of a multivariate function as a local minimum if all cross partial derivatives are zero, that is, if for all What is the sufficient condition for a local maximum in this case? 3. Generalize your answer to question 2 by discussing the sufficient condition for identifying the stationary point of a multivariate function with n

1. Show that the optimal levels of P and S in the application about advertising represent a point where profits are maximized using the second-order conditions. 2. Generalizing your results to question 1, give the sufficient condition for identifying a stationary point of a multivariate function as a local minimum if all cross partial derivatives are zero, that is, if for all What is the sufficient condition for a local maximum in this case? 3. Generalize your answer to question 2 by discussing the sufficient condition for identifying the stationary point of a multivariate function with n arguments as a local maximum or a local minimum if all cross partial derivatives equal zero.

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