3. Find all the relative extrema and saddle points, if any, of the given function below f(r, y) = In(r – y) + x² + y. 4. During sales hour in a supermarket, Cynthia measures her urgency from buying r bags of candies and y bars of chocolate using the following function: f(r, y) = Ty. If Cynthia has USD 5.00 to spend and each bag of candies and each bar of chocolate cost USD 1.50 and USD 1.00, resp., how many bags of candies and bars of chocolate should she purchase to maximize her urgency? Use Lagrange Optimization to solve this problem. (Note: Fractional number of bags and bars can be purchased.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Answer these two questions
3. Find all the relative extrema and saddle points, if any, of the given function below
f(r, y) = In(r – y) + a? + y.
4. During sales hour in a supermarket, Cynthia measures her urgency from buying r bags of candies
and y bars of chocolate using the following function: f(r, y) = VTy. If Cynthia has USD 5.00 to
spend and each bag of candies and each bar of chocolate cost USD 1.50 and USD 1.00, resp.,
many bags of candies and bars of chocolate should she purchase to maximize her urgency? Use
Lagrange Optimization to solve this problem. (Note: Fractional number of bags and bars can be
purchased.)
how
Transcribed Image Text:3. Find all the relative extrema and saddle points, if any, of the given function below f(r, y) = In(r – y) + a? + y. 4. During sales hour in a supermarket, Cynthia measures her urgency from buying r bags of candies and y bars of chocolate using the following function: f(r, y) = VTy. If Cynthia has USD 5.00 to spend and each bag of candies and each bar of chocolate cost USD 1.50 and USD 1.00, resp., many bags of candies and bars of chocolate should she purchase to maximize her urgency? Use Lagrange Optimization to solve this problem. (Note: Fractional number of bags and bars can be purchased.) how
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