Re: FindMaximum/NMaximize vs. Excel Solver

*To*: mathgroup at smc.vnet.net*Subject*: [mg106748] Re: FindMaximum/NMaximize vs. Excel Solver*From*: Bill Rowe <readnews at sbcglobal.net>*Date*: Fri, 22 Jan 2010 05:40:38 -0500 (EST)

On 1/21/10 at 4:57 AM, jhurley13 at gmail.com (John) wrote: >I am looking at a simple model that calculates the best wagers to >place on a set of 20 horses, where the goal is to maximize reward >vs. risk. Since the bets need to be constrained, I can't use >NMaximize. NMaximize allows constraints. For example consider the function x + 5 Sin[x] which has no global maximum and an infinite number of local maxima. To obtain a maximum for x between say 5 and 10 In[4]:= NMaximize[{x + 5 Sin[x], 5 < x < 10}, x] Out[4]= {12.9543,{x->8.05534}} Or for x between 20 and 25 In[5]:= NMaximize[{x + 5 Sin[x], 20 < x < 25}, x] Out[5]= {25.5207,{x->20.6217}} No constraints on x results in the following In[7]:= NMaximize[x + 5 Sin[x], x] Out[7]= {6.67113,{x->1.77215}}