Operations Research: Applications and Algorithms
Operations Research: Applications and Algorithms
4th Edition
ISBN: 9780357907818
Author: WINSTON
Publisher: Cengage Learning US
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Duality
Duality is a linear programming (LP) concept which states that it is possible to interpret every LP problem using two distinct methods, but they will have similar solutions. That means any LP problem can be mentioned in another equivalent form based on i…
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Chapter 5.1, Problem 4P

a.

Explanation of Solution

Range of values

  • The slope of the line is between the other variables x1 and x2. That is

    k = c

b.

Explanation of Solution

Range of values

  • The slope of the line is between the other variables x1 and x2. That is

    k = c

c.

Explanation of Solution

Range of values

  • The slope remains the same when the line drops or lifts...

d.

Explanation of Solution

Range of values

  • If High Income Men requirement is 8 then the feasibility is lost.
  • If HIM requirement is decreased t...

e.

Explanation of Solution

Shadow price

  • For High Income Men, the value of RHS is 24 + ∆.
  • Then the RHS of the c...

f.

Explanation of Solution

Optimum value

  • For High Income Women, the value of RHS is 24 + ∆.
  • Then the RHS of the constraint will represent a worse value of z−value = 320 - (−2) (−5) = $310,000

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Dijkstra's Algorithm (part 1).  Consider the network shown below, and Dijkstra’s link-state algorithm. Here, we are interested in computing the least cost path from node E (note: the start node here is E) to all other nodes using Dijkstra's algorithm. Using the algorithm statement used in the textbook and its visual representation, complete the "Step 0" row in the table below showing the link state algorithm’s execution by matching the table entries (i), (ii), (iii), and (iv) with their values.  Write down your final [correct] answer, as you‘ll need it for the next question.
4. |z + 5 - 5i| = 7
14. dz, C: |z❘ C: |z❘ = 0.6 ze² - 2iz H

Chapter 5 Solutions

Operations Research: Applications and Algorithms

Ch. 5.1 - Prob. 1PCh. 5.1 - Prob. 2PCh. 5.1 - Prob. 3PCh. 5.1 - Prob. 4PCh. 5.1 - Prob. 5PCh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5P
Ch. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.3 - Prob. 1PCh. 5.3 - Prob. 3PCh. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 9PCh. 5.3 - Prob. 10PCh. 5.3 - Prob. 11PCh. 5 - Prob. 1RPCh. 5 - Prob. 2RPCh. 5 - Prob. 3RPCh. 5 - Prob. 4RPCh. 5 - Prob. 6RPCh. 5 - Prob. 7RPCh. 5 - Prob. 8RPCh. 5 - Prob. 9RPCh. 5 - Prob. 10RPCh. 5 - Prob. 11RPCh. 5 - Prob. 12RPCh. 5 - Prob. 13RPCh. 5 - Prob. 14RPCh. 5 - Prob. 15RPCh. 5 - Prob. 16RP
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