Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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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 6, Problem 4RP

a.

Explanation of Solution

New optimal solution

  • Let x1 be the number of cars produced daily and x2 be the number of trucks produced daily.
  • Let m1 be the type 1 machines rented daily.
  • 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)...

b.

Explanation of Solution

Rent payed by Carco

  • Let x1 be the number of cars produced daily and x2 be the number of trucks produced daily.
  • Let m1 be the type 1 machines rented daily.
  • For a maximization problem, the new optimal value = (old optimal value) + (Constraint i’s shadow price)...

c.

Explanation of Solution

Rent payed by Carco

  • Let x1 be the number of cars produced daily and x2 be the number of trucks produced daily.
  • Let m1 be the type 1 machines rented daily.
  • For a maximization problem, the new optimal value = (old optimal value) + (Constraint i’s shadow price)...

d.

Explanation of Solution

New Profit

  • Let x1 be the number of cars produced daily and x2 be the number of trucks produced daily.
  • Let m1 be the type 1 machines rented daily.
  • 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 Carco is required to produce 86 cars...

e.

Explanation of Solution

New Profit

  • Let x1 be the number of cars produced daily and x2 be the number of trucks produced daily.
  • Let m1 be the type 1 machines rented daily.
  • 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)...

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Chapter 6 Solutions

Operations Research : Applications and Algorithms

Ch. 6.1 - Prob. 1PCh. 6.1 - Prob. 2PCh. 6.1 - Prob. 3PCh. 6.1 - Prob. 4PCh. 6.1 - Prob. 5PCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Prob. 3P
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
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