Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
Expert Solution & Answer
Book Icon
Chapter 6.3, Problem 7P

a.

Explanation of Solution

New optimal solution

  • Let x1 be the number of soldiers and x2 be the number of trains.
  • For a maximization problem, the new optimal value = (old optimal value) + (Constraint i’s shadow price).
  • For a minimization problem, the new optimal value = (old optimal value) – (Constraint i’s shadow price).
  • Here s1, s2 and s3 be the slack variables added

b.

Explanation of Solution

Optimal basis

  • Let x1 be the number of soldiers and x2 be the number of trains.
  • For a maximization problem, the new optimal value = (old optimal value) + (Constraint i’s shadow price).
  • For a minimization problem, the new optimal value = (old optimal value) – (Constraint i’s shadow price)

c.

Explanation of Solution

New optimal solution

  • Let x1 be the number of soldiers and x2 be the number of trains.
  • For a maximization problem, the new optimal value = (old optimal value) + (Constraint i’s shadow price).
  • For a minimization problem, the new optimal value = (old optimal value) – (Constraint i’s shadow price).
  • Here s1,

d.

Explanation of Solution

Optimal basis

  • Let x1 be the number of soldiers and x2 be the number of trains.
  • For a maximization problem, the new optimal value = (old optimal value) + (Constraint i’s shadow price).
  • For a minimization problem, the new optimal value = (old optimal value) – (Constraint i’s shadow price)

e.

Explanation of Solution

New optimal solution

  • Let x1 be the number of soldiers and x2 be the number of trains.
  • For a maximization problem, the new optimal value = (old optimal value) + (Constraint i’s shadow price).
  • For a minimization problem, the new optimal value = (old optimal value) – (Constraint i’s shadow price)

Blurred answer
Students have asked these similar questions
What are the similarities and differences between massively parallel processing systems and grid computing. with references
Modular Program Structure. Analysis of Structured Programming Examples. Ways to Reduce Coupling. Based on the given problem, create an algorithm and a block diagram, and write the program code: Function: y=xsin⁡x Interval: [0,π] Requirements: Create a graph of the function. Show the coordinates (x and y). Choose your own scale and show it in the block diagram. Create a block diagram based on the algorithm. Write the program code in Python. Requirements: Each step in the block diagram must be clearly shown. The graph of the function must be drawn and saved (in PNG format). Write the code in a modular way (functions and the main part should be separate). Please explain and describe the results in detail.
Based on the given problem, create an algorithm and a block diagram, and write the program code: Function: y=xsin⁡x Interval: [0,π] Requirements: Create a graph of the function. Show the coordinates (x and y). Choose your own scale and show it in the block diagram. Create a block diagram based on the algorithm. Write the program code in Python. Requirements: Each step in the block diagram must be clearly shown. The graph of the function must be drawn and saved (in PNG format). Write the code in a modular way (functions and the main part should be separate). Please explain and describe the results in detail.

Chapter 6 Solutions

Operations Research : Applications and Algorithms

Ch. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 4PCh. 6.4 - Prob. 5PCh. 6.4 - Prob. 6PCh. 6.4 - Prob. 7PCh. 6.4 - Prob. 8PCh. 6.4 - Prob. 9PCh. 6.4 - Prob. 10PCh. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.5 - Prob. 1PCh. 6.5 - Find the duals of the following LPs: Ch. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Prob. 5PCh. 6.5 - Prob. 6PCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.7 - Prob. 1PCh. 6.7 - Prob. 2PCh. 6.7 - Prob. 3PCh. 6.7 - Prob. 4PCh. 6.7 - Prob. 5PCh. 6.7 - Prob. 6PCh. 6.7 - Prob. 7PCh. 6.7 - Prob. 8PCh. 6.7 - Prob. 9PCh. 6.8 - Prob. 1PCh. 6.8 - Prob. 2PCh. 6.8 - Prob. 3PCh. 6.8 - Prob. 4PCh. 6.8 - Prob. 5PCh. 6.8 - Prob. 6PCh. 6.8 - Prob. 8PCh. 6.8 - Prob. 9PCh. 6.8 - Prob. 10PCh. 6.8 - Prob. 11PCh. 6.9 - Prob. 1PCh. 6.9 - Prob. 2PCh. 6.9 - Prob. 3PCh. 6.10 - Prob. 1PCh. 6.10 - Prob. 2PCh. 6.10 - Prob. 3PCh. 6.11 - Prob. 1PCh. 6.11 - Prob. 3PCh. 6.11 - Prob. 4PCh. 6.12 - Prob. 5PCh. 6.12 - Prob. 6PCh. 6.12 - Prob. 7PCh. 6 - Prob. 1RPCh. 6 - Prob. 2RPCh. 6 - Prob. 3RPCh. 6 - Prob. 4RPCh. 6 - Prob. 5RPCh. 6 - Prob. 6RPCh. 6 - Prob. 7RPCh. 6 - Prob. 8RPCh. 6 - Prob. 9RPCh. 6 - Prob. 10RPCh. 6 - Prob. 11RPCh. 6 - Prob. 13RPCh. 6 - Prob. 14RPCh. 6 - Prob. 15RPCh. 6 - Prob. 17RPCh. 6 - Prob. 18RPCh. 6 - Prob. 19RPCh. 6 - Prob. 20RPCh. 6 - Prob. 21RPCh. 6 - Prob. 22RPCh. 6 - Prob. 25RPCh. 6 - Prob. 29RPCh. 6 - Prob. 33RPCh. 6 - Prob. 34RPCh. 6 - Prob. 35RPCh. 6 - Prob. 36RPCh. 6 - Prob. 37RP
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole