Question Details

(Solution Download) Complementary slackness describes a relationship between the values of primal variables and dual...

Brief item decscription

Instant Solution Download for the question described below


Item details:

Complementary slackness

Complementary slackness describes a relationship between the values of primal variables and dual constraints and between the values of dual variables and primal constraints. Let  width=  be a feasible solution to the primal linear program given in (29.16)?(29.18), and let  width= be a feasible solution to thedual linear program given in (29.83)?(29.85). Complementary slackness states that the following conditions are necessary and sufficient for  width= and  width= to be optimal:

 width=

a. Verify that complementary slackness holds for the linear program in lines (29.53)?(29.57).

b. Prove that complementary slackness holds for any primal linear program and its corresponding dual.

c. Prove that a feasible solution  width= to a primal linear program given in lines (29.16)?(29.18) is optimal if and only if there exist values  width= = ( width=1,  width=2,?,  width=m) such that

 width=

 width=

 width=

 width=

1.  width= is a feasible solution to the dual linear program given in (29.83)?(29.85),

 width=

 width=

2.  width=for all j such that  width=and

3.  width==0 for all i such that  width= 

 







About this question:
STATUS
Answered
QUALITY
Approved
ANSWER RATING

This question was answered on: Oct 24, 2017

PRICE: $15.99

Solution~00017287043760.zip (18.37 KB)

Buy this answer for only: $15.99

Pay using PayPal (No PayPal account Required) or your credit card. All your purchases are securely protected by PayPal.
SiteLock

Need a similar solution fast, written anew from scratch? Place your own custom order

We have top-notch tutors who can help you with your essay at a reasonable cost and then you can simply use that essay as a template to build your own arguments. This we believe is a better way of understanding a problem and makes use of the efficiency of time of the student. New solution orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.

Order Now
v>