Maximum length? What two nonnegative real numbers ?a? and ?b? whose sum is 23 2 2 2 2 (a) minimize a + b ?(b) Maximize a + b ?

Solution Step 1 In this problem the sum of two nonnegative real numbers a and b is 23. We have to find 2 2 the values of a and b with the objective function a +b to maximize and minimize. That is it is enough to find the critical point regarding aand b Critical point: An interior point cof the domain of a function f at which f(c) = 0or f(c)fails to exist is called a critical point of f Step 2 Given: aand bare two nonnegative real numbers. a+b = 23 Objective function P = a +b 2