Question: (a) Write the dual of the following linear programming problem: Maximize Z = 3x+5x2 + 4xz; Subject to 2x + 3x, 38, 2x+5x, 510 3x2

(a) Write the dual of the following linear

(a) Write the dual of the following linear programming problem: Maximize Z = 3x+5x2 + 4xz; Subject to 2x + 3x, 38, 2x+5x, 510 3x2 + 2xy +4x, 515 X2, X2, X320 (5 Marks) (b) Find the optimal solution to the given problem in (a) above, using the simplex method. (9 Marks) 3 3 (c) From the final optimal table in (b) above, find the solution to the dual problem. (3 Marks) (d) Give the economic interpretation to the solution in (c) above

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

D 1. An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective...

Assignment 1 1. Food A contains 20 units of vitamin x and 40 units of vitamin y per gram. Food B contains 30 units of each of vitamins x and y. The daily minimum human requirements of vitamin x and y...

this is actually Operation Research. Answer plis im waiting Queston 16 Not yet answered You are given the following data for a linear programming problem where the objective is to maximize the profit...

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

(a) solve using integer simplex method. (b) write the dual of the given LP (c) write the solution to the dual from the optimal simplex table (without solving the dual of the primal) (d) solve the...

equation questions 1. [-/1.1 Points] DETAILS HARMATHAP12 4.4.001.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Complete the following. Minimize g = 2y, + 3yz subject to 5y1 + 4/2 2 23 71 + 4/2 2 11....

Questionl) (Duality-15 points) Write the dual of the following primal LP (use the Table that has the rules in your slides about the relationship between signs, and variables of the primal and dual...

Optimization Methods II (DS 808) Spring 2022 Assignment #1 Due: Thursday, April 6th @ 5:40pm, on Canvas Work in groups of two. Both your names should appear on your submission. Part (a): Shortest...

Q.4. (28 points) Consider the following problem. Max 4x1 +8x2 -3x1 s.t. -X1 X1 211 +x2 +x2 +x2 X2, +6x3 +2x3 20 +2x322 X3, 20 18 (a) (4) Write the dual of the problem (b) (8) Solve the problem using...

2. In this problem we will derive the max flow min cut theorem using linear program duality. Given a flow network (V, E, c), here is a linear program that solves for the max flo max (s,v) VEV VEV fe...

Kevin Haden is confused about how accounting information flows through the accounting system. He believes information flows in this order: (a) Debits and credits are posted to the ledger. (b)...

The higher the interest rate, the lower the present value of a future amount. Why?

A robot force control system with unity feedback has a loop transfer function [6] L(s) = KG(s) = K(s + 2.5) (s2 +25+2)(s2 + 4s +5)* (a) Find the gain K that results in dominant roots with a damping...

As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes...