Linear programming (LP): The linear programming (LP) is also known as linear optimization. Consider a mathematical model, and its requirements are used to represent by the linear relationships. The linear programming is the best method to achieve the best outcome of this mathematical model. The outcomes may be, maximum profit or lower cost. The linear optimization is also called as mathematical optimization because, it is a special case of mathematical programming. More formally, the LP is a technique for optimizing linear objective function subject to constraints of linear equality and linear inequality.

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Change the following code so that there is always at least one way to get from the left corner to the top right, but the labyrinth is still randomized. 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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Chapter 3, Problem 23RP

Program Plan Intro

Linear programming (LP):

The linear programming (LP) is also known as linear optimization.

Consider a mathematical model, and its requirements are used to represent by the linear relationships. The linear programming is the best method to achieve the best outcome of this mathematical model. The outcomes may be, maximum profit or lower cost.

The linear optimization is also called as mathematical optimization because, it is a special case of mathematical programming.

More formally, the LP is a technique for optimizing linear objective function subject to constraints of linear equality and linear inequality.

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Change the following code so that there is always at least one way to get from the left corner to the top right, but the labyrinth is still randomized. 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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