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assignp08 - Homework 8 15.053 Introduction to Optimization...

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Homework 8 15.053 Introduction to Optimization Due at the beginning of class Thursday, May 2, 2002. 1. BH&M, Exercise 1b, p. 608 2. BH&M, Exercise 4, p.609-610 3. Consider the following optimization problem: Min 12 xx e + s.t. 0 x 1 4 0 x 2 4 a) Express the problem as a separable problem b) Linearize the separated problem using the λ -method and three breakpoints for all function approximations. Are the adjacency conditions needed? 4. a) Carry out the Fibonacci search method to find a local maximum for the function: min(2x 2 + x, 300 - x 2 ), as x varies from –17 to 17.
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