OPERATIONS RESEARCH >INTERNATIONAL EDITI
4th Edition
ISBN: 9780534423629
Author: WINSTON
Publisher: CENGAGE L
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Chapter 7, Problem 14RP
Explanation of Solution
Assumptions:
- Let LAD and LAH represent the number of “100000” barrels of oil shipped from Los Angeles (L.A.) to Dallas and Houston, respectively.
- Let SDD and SDH represent the number of “100000” barrels of oil shipped from San Diego to Dallas and Houston, respectively.
- Let DNY and DC represent the number of “100000” barrels of oil shipped from Dallas to New York (N.Y.) and Chicago, respectively.
- Let HNY and HC represent the number of “100000” barrels of oil shipped from Houston to N.Y. and Chicago, respectively.
Formulation:
- It is given that in L.A., a maximum of “400000” barrels of oil are able to be produced per day. It is represented by,
LAD+LAH<=4
- It is given that in San Diego, a maximum of “500000” barrels of oil are able to be produced per day. It is represented by,
SDD+SDH<=5
- From the table, the cost of shipping “100000” barrels of oil between the cities L.A. and Dallas is “300”, and the cities San Diego and Dallas is “420”.
- Hence, the total cost of shipping the barrels of oil from L.A. and San Diego to Dallas is as follows,
- From the table, the cost of shipping “100000” barrels of oil between the cities L.A. and Houston is “110”, and the cities San Diego and Houston is “100”.
- Hence, the total cost of shipping the barrels of oil from L.A. and San Diego to Houston is as follows,
- It is given that in Dallas, the cost of refining oil per “100000” barrels, is “$700”. It is represented by,
- It is given that, the cost of refining oil per “100000” barrels, is “$900” in Houston. It is represented by,
- Given that Chicago customer needs refined oil of at least “400000” barrels of oil per day. It is represented by,
DC+HC>=4
- Given that N.Y. customer needs refined oil of at least “300000” barrels of oil per day. It is represented by,
DNY+HNY>=3
- From the table, the cost of shipping “100000” barrels of oil between the cities Dallas and N.Y.is “450”, and the cities Houston and N.Y. is “470”.
- Hence, the total cost of shipping the barrels of oil from Dallas and Houston to N.Y. is as follows,
- From the table, the cost of shipping “100000” barrels of oil between the cities Dallas and Chicago is “550”, and the cities Houston and Chicago is “530”
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The player starts at the bottom left corner of the labyrinth. He has to get to the top right corner of the labyrinth as fast he can, avoiding a meeting with the evil dragon. Take care that the player and the dragon cannot start off on walls. Also the dragon starts off from a randomly chosen position
public class Labyrinth { private final int size; private final Cell[][] grid;
public Labyrinth(int size) { this.size = size; this.grid = new Cell[size][size]; generateLabyrinth(); }
private void generateLabyrinth() { Random rand = new Random(); for (int i = 0; i < size; i++) { for (int j = 0; j < size; j++) { // Randomly create walls and paths grid[i][j] = new Cell(rand.nextBoolean()); } } // Ensure start and end are…
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Labyrinth labyrinth = new Labyrinth(10);
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public class GameGUI extends JPanel { private final Labyrinth labyrinth; private final Player player; private final Dragon dragon; //labyrinth, player, dragon are just public classes
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Chapter 7 Solutions
OPERATIONS RESEARCH >INTERNATIONAL EDITI
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