{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

hw4-sol - Homework IV Deterministic Optimization ISYE 6669...

This preview shows pages 1–3. Sign up to view the full content.

Homework IV Deterministic Optimization ISYE 6669 Exercise 34 of Review Problems Since the initial basis is a 1 , s 2 and a 3 , B - 1 = 1 - 1 - 1 0 1 0 1 - 1 0 Also c B B - 1 = 0 20 10 1 - 1 - 1 0 1 0 1 - 1 0 = 10 10 0 So the coefficient of s 2 in row 0 = c BV B - 1 0 1 0 = 10 10 0 0 1 0 = 10, the coefficient of a 1 in row 0 = c BV B - 1 1 0 0 - ( - M ) = M + 10 and the coefficient of a 3 in row 0 = c BV B - 1 0 0 1 - ( - M ) = M . The dual problem is min w = 150 y 1 +40 y 2 +20 y 3 s.t y 1 + y 2 20 y 1 + y 3 10 y 1 urs , y 2 0 , y 3 0 the optimal solution to the dual is w = 1900 , y 1 = 10 , y 2 = 10 , y 3 = 0. 6.5.3 - Both Editions min w = 5 y 1 +7 y 2 +6 y 3 +4 y 4 s.t. y 1 +2 y 2 + y 4 4 y 1 + y 2 +2 y 3 = - 1 y 3 + y 4 = 2 y 1 0, y 2 0, y 3 0, y 4 u.r.s 6.5.4 - Both Editions 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
max z = 6 x 1 +8 x 2 s.t. x 1 + x 2 4 2 x 1 - x 2 2 2 x 2 = - 1 x 1 0, x 2 u.r.s 6.5.5 - Both Editions (a) min w = 6 y 1 +5 y 2 s.t. 3 y 1 +2 y 2 1 y 1 + y 2 2 y 1 0, y 2 u.r.s (b) max z = x 1 +2 x 2 s.t. 3 x 1 + x 2 6 2 x 1 + x 2 5 - 2 x 1 - x 2 ≤ - 5 x 1 0, x 2 0
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern