A friend in your study group gives you her solution to the following linear program, but unluckily those graphite marks are partly erased (e.g., mumbers on the positions of e. Azs are not recognizable): Maximize: e + 7x3 +9r3 Subject to: z1 +13+ z3 S 10 30r + 40r2+ Azsrs S 500 1.2.3 20 Her solution to the original problem is DEC Oplmal objective value 8. She also solved the dual problem's optimal solution, and denote the dual variables as y.2 in order to constraints above. She use ys, ya and ys as the slack variables for the dual problem. It is known that her answers to both problems were correct! In summery, her dual solutions are: 近|吃|听|近|近 1.6 5.4 0.04 Use your knowledge about the complementary slackness to find all missing values and fill your guesses into the following table.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A friend in vour study group gives you her solution to the following linear program, but unluckily those
graphite marks are partly erased (e.g., numbers on the positions of c. Aza are not recognizable):
Maximize: cz + 7r3 + 9r3
Subject to: z +13+13 S 10
30r + 40r2 + Azr < 500
I1, 12, 13 20
Her solution to the original problem is
ri Oplimal objective value :*
She also solved the dual problem's optimal solution, and denote the dual variables as V. V in order to
constraints above. She use y3, y4 and y, as the slack variables for the dual problem. It is known that her
answers to both problems were correct! In summery, her dual solutions are:
5.4 0.04 1.6 --
Use your knowledge about the complementary slackness to find all missing values and fill your guesses into
the following table.
A23 C
Transcribed Image Text:A friend in vour study group gives you her solution to the following linear program, but unluckily those graphite marks are partly erased (e.g., numbers on the positions of c. Aza are not recognizable): Maximize: cz + 7r3 + 9r3 Subject to: z +13+13 S 10 30r + 40r2 + Azr < 500 I1, 12, 13 20 Her solution to the original problem is ri Oplimal objective value :* She also solved the dual problem's optimal solution, and denote the dual variables as V. V in order to constraints above. She use y3, y4 and y, as the slack variables for the dual problem. It is known that her answers to both problems were correct! In summery, her dual solutions are: 5.4 0.04 1.6 -- Use your knowledge about the complementary slackness to find all missing values and fill your guesses into the following table. A23 C
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