(g(x) We looked for maximal x such that g(x) = c. See Figure 1 and review Lecture 4. Multivariate Inequality Constrained Optimization: a Level curves...

(g(x) We looked for maximal x such that g(x) = c. See Figure 1 and review Lecture 4. Multivariate Inequality Constrained Optimization: a Level curves perspective 1. In multivariate optimization with inequality constraint, the problem is: max f (x) subject to g(x) Figure 1: The Equality Constraint Optimization Problem 2. Example 1: Utility maximization, subject to expenditure less than or equal to income: max U (Q1 , Q2 ) subject to g(Q1 , Q2 ) When will expenditure equal income?