Student Suite Cd-rom For Winston's Operations Research: Applications And Algorithms
4th Edition
ISBN: 9780534423551
Author: Wayne L. Winston
Publisher: Cengage Learning
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Expert Solution & Answer
Chapter 6.1, Problem 4P
a.
Explanation of Solution
Range of values
- Let
- Let HIW stand for high-income women and HIM stands for high-income men.
- Hence high-income men and high-income women are the two constraints in the problem.
- An optimal solution is found when a line known as isocost line intersects the feasible region
b.
Explanation of Solution
Range of values
- Let
- Let HIW stand for high-income women and HIM stands for high-income men.
- Hence high-income men and high-income women are the two constraints in the problem.
- An optimal solution is found when a line known as isocost line intersects the feasible region
c.
Explanation of Solution
Range of values
- Let
- Let HIW stand for high-income women and HIM stands for high-income men.
- Hence high-income men and high-income women are the two constraints in the problem.
- An optimal solution is found when a line known as isocost line intersects the feasible region.
- Hence isocost line is any line on which all points have the same optimal value or the same cost
d.
Explanation of Solution
Range of values
- Let
- Let HIW stand for high-income women and HIM stands for high-income men.
- Hence high-income men and high-income women are the two constraints in the problem.
- An optimal solution is found when a line known as isocost line intersects the feasible region.
- Hence isocost line is any line on which all points have the same optimal value or the same cost
e.
Explanation of Solution
Shadow price
- In linear programming, the shadow price of a constraint is the difference between the optimised value of the objective function and the value of the objective function at the optional basis.
- Here there are two constraints, high on income women and high on income men...
f.
Explanation of Solution
New optimal solution
- Let
- Let HIW stand for high-income women and HIM stands for high-income men.
- Hence high-income men and high-income women are the two constraints in the problem
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1. Consider an instance of the Knapsack Problem without repetitions with 4 items, having
weights and values as follows. The weights (in pounds) are w1=2, w2 =7, w3 =10, w4 =12.
The dollar values of these items are respectively v1 = 12, v2 = 28, v3 = 30, v4 = 5. The
capacity of the knapsack is 12.
(a) Find the optimal solution for Fractional Knapsack.
(b) Find the optimal solution for 0-1 Knapsack.
A pig weighting 200 pounds gains 5 pounds per day and costs 45 cents aday to keep. The market price for pigs is 65 cents per pound, but is falling 1 cent perday.a/ When should the pig be sold? What is the optimal profit?b/ What are the sensitivities of the optimal time and optimal profit with respect to the45-cent upcost?c/ What are the sensitivities of the optimal time and optimal profit with respect to the1-cent market depreciation?
Markov Decision Process (MDP) – Ch5
10
B
F
6. Consider the MDP above, with states represented as nodes and transitions as edges between
nodes. The rewards for the transitions are indicated by the numbers on the edges. For example,
going from state B to state A gives a reward of 10, but going from state A to itself gives a reward of
0. Some transitions are not allowed, such as from state A to state B. Transitions are deterministic (if
can choose to go from one to the other and will
there is an edge between two states, the
reach the other state with probability 1).
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Chapter 6 Solutions
Student Suite Cd-rom For Winston's 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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