EAS6939 Homework #4 (Due: 3/22) 1. Consider the following design optimization problem: 22121113321Minimize( )44Subject to( )0( )0( )(1)0fxxxgxgxx xxxx(i)Find the optimum point graphically (ii)Show that the optimum point does not satisfy K-T condition. Explain 2. An engineering design problem is formulated as: Minimize 1212( )25210fxxxxxSubject to the constraints 1121122303260hxxgxx In all of the following questions, justify your answers. (i)Write K-T necessary conditions (ii)How many cases are there to be considered? Identify those cases. (iii)Find the solution for the case where g1is active. Is this acceptable case? (iv)Regardless of the solution you obtained in (iii), suppose the Lagrange multiplier for the constraint h1= 0 is 1= -2 and the Lagrange multiplier for the constraint
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This note was uploaded on 02/15/2012 for the course EAS 6939 taught by Professor Staff during the Spring '08 term at University of Florida.