hmk_2_p

# hmk_2_p - ESE304 Introduction to Optimization(Homework#2...

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Unformatted text preview: ESE304 - Introduction to Optimization (Homework #2) Fall Semester, 2010 M. Carchidi –––––––––––––––––––––––––––––––––––– Problem #1 (15 points) Use the simplex method to solve the following LP. max z = 2 x 1 − x 2 + x 3 (Objective Function) st 3 x 1 + x 2 + x 3 ≤ 60 (Constraint #1) x 1 − x 2 + 2 x 3 ≤ 10 (Constraint #2) x 1 + x 2 − x 3 ≤ 20 (Constraint #3) x 1 ,x 2 ,x 3 ≥ (Sign Restrictions) This is Problem #3 on page 149 of the text: Operations Research by Wayne L. Winston. –––––––––––––––––––––––––––––––––––– Problem #2 (15 points) Characterize all optimal solutions to the following LP. max z = − 8 x 5 (Objective Function) st x 1 + x 3 + 3 x 4 + 2 x 5 = 2 (Constraint #1) x 2 + 2 x 3 + 4 x 4 + 5 x 5 = 5 (Constraint #2) x 1 ,x 2 ,x 3 ,x 4 ,x 5 ≥ (Sign Restrictions) This is Problem #9 on page 154 of the text: Operations Research by Wayne L. Winston....
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hmk_2_p - ESE304 Introduction to Optimization(Homework#2...

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