Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

2. Consider the following parametric linear programming problem, where the parameter 8 must be nonnegative: Maximize Z(0)=(5+20)x+(2-0) x +(3+0) X3, subject to 4x1+x2 25+50

 

2. Consider the following parametric linear programming problem, where the parameter 8 must be nonnegative: Maximize Z(0)=(5+20)x+(2-0) x +(3+0) X3, subject to 4x1+x2 25+50 3x1 + x2 + 2x3 = 10-100 x 0, X2 0, X3 0. Let x4 be the surplus variable for the first functional constraint, and let s and 6 be the artificial variables for the respective functional constraints. After we apply the simplex method with the Big M method and with 0=0, the final simplex tableau is Basic Variable Z X2 X4 Eq. Z (0) 1 (1) (2) 0 XI 1 3 -1 X2 0 1 0 Coefficient of: X3 1 2 2 X4 0 10 1 MRI XS 0 -1 x6 M+2 1 Right Side 20 10 5 (a) Use the fundamental insight to revise this tableau to reflect the inclusion of the parameter in the original model. Show the complete tableau needed to apply the feasibility test and the optimality test for any value of Express the corresponding basic solution (and Z) as a function of 0. (10%) 5) Determine the range of nonnegative values of 0 over which this basic solution is feasible. (5%) ) Determine the range of nonnegative values of over which this basic solution is both feasible and optimal. etermine the best choice of over this range. (5%)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Operations management

Authors: Jay Heizer, Barry Render

10th edition

978-0136119418, 136119417, 978-0132163927

More Books

Students also viewed these Marketing questions