The application of linear programming in financial decision-making is explored in the next section.
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The application of linear
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- The use of linear programming in financial decision-making is explained in detail in the next section.You will be given a square chess board with one queen and a number of obstacles placed on it. Determine how many squares the queen can attack. A queen is standing on an chessboard. The chess board's rows are numbered from to , going from bottom to top. Its columns are numbered from to , going from left to right. Each square is referenced by a tuple, , describing the row, , and column, , where the square is located. The queen is standing at position . In a single move, she can attack any square in any of the eight directions (left, right, up, down, and the four diagonals). In the diagram below, the green circles denote all the cells the queen can attack from : There are obstacles on the chessboard, each preventing the queen from attacking any square beyond it on that path. For example, an obstacle at location in the diagram above prevents the queen from attacking cells , , and : Given the queen's position and the locations of all the obstacles, find and print the number of…Computational Theory: The halting problem is described as the impossibility to know if a program (based on any programming language) will halt or not after it starts running. How would you simulate or semi-simulate the halting problem? If a simulation is possible, provide a graph or a flow chart. Explain your reasoning. If a simulation is not possible, explain your reasoning
- Any simple task may be aided by the Spiral Model.A hungry mouse wants to eat all four fruits in a maze such as the one below, in as few moves as possible.. At each turn the mouse can move any number of squares in one of the directions up, down, left or right, but it is not allowed to enter (or jump over) any walls (i.e., the black squares). Thus, the mouse moves just like a rook in chess. To eat a fruit, the mouse has to stop at that square. Assume that the maze has 4 fruits, and the size of b xh squares. 1. Give a suitable representatión of the states in this searching problem. 2. How many possible actions can the mouse perform at each move? (1.e., what is the branching factor?)Part C: Function, for and plotting We did a project in the lecture on calculating the free fall speeds and plotting them on a graph. This part is similar to the project. An engineer has derived a relationship between the force applied to a material and the extension in length that the force would cause. The relationship between force f and extension e is given by: You are asked to plot a graph showing the relationship between force and extension. You are asked to complete the following tasks: Task 1 Write a Python function which returns the value of e for a given input f. Do not use literals (e.g. 5.5, 10) in the expressions for e in the function. Instead you should define constants and use them. Note that the relationship between e and f depends on whether f is bigger than 10 or not, this means you need a certain Python construction in your function. If you can't think of that, have a look at Part A of Lab03.
- A tile of a monkey puzzle has four monkey halves that can be labelled as north(N), east (E), south (S), and west (W) half. In addition to the shape of the borderrectangle, these halves determine which edges can be placed next one other. There isalso another way to define how the tiles can be placed: Each tile corner (i.e. compassdirections NE, SE, SW, and NW) has a monkey quarter. If we abstract this quarter, forexample, with a letter, only the tiles with the same letter in their touching corners canbe adjacent. illustrates one valid solution for this quarter monkey puzzle.Are the two monkey puzzle representations equivalent in the sense that if we have apile of ‘half monkey’ tiles H, it is possible to define a pile of ‘quarter monkey’ tilesQ that gives exactly the same set of solutions for the puzzle (and vice versa)?Chemical reaction rates are proportional to a rate constant, k, which changes with temperature according to the Arrhenius equation k=k0e-Q/RT For a certain reaction Q = 8,000 cal/mole R = 1.987 cal/mole K k 0 = 1200 min 1 k0=1200min-1 For this question you will need to draw a graph in Matlab for the values of k for temperatures from 100 K to 500 K, in 15-degree increments.Investigate both the iterative and the recursive methods of problem resolution, and then compare and contrast the results of your research. When would you use iteration when recursion would be more appropriate, and when would you use recursion when iteration would be more appropriate? Your answer should be justified by giving examples that are different from those that are shown on the slides of the presentation.
- Any simple work can be aided by the Spiral Model.Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…Bowling involves 10 frames. Each frame starts with 10 pins. The bowler has two throws to knock all 10 pins down. The total score is the sum of pins knocked down, with some special rules. For the first 9 frames: If all 10 pins are knocked down on a frame's first throw (a "strike"), that frame's score is the previous frame plus 10 plus the next two throws. (No second throw is taken). If all 10 pins are knocked down after a frame's second throw (a "spare"), that frame's score is the previous frame plus 10 plus the next throw. In the 10th frame, if the bowler's first throw is a strike, or the first two throws yields a spare, the bowler gets a third throw. The 10th frame's score is the previous frame's score plus the pins knocked down in the 10th frame's two or three throws. Given integers represents all throws for a game, output on one line each frame's score followed by a space (and end with a newline). Note that the number of throws may be as few as 11 (strikes in first 9 frames,…