In a preemptive goal programming problem with only two choice variables, what happens?
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Q: What happens when there are only two choice variables in a preemptive goal programming problem?
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Q: What results may we anticipate from preemptive goal programming with two choice variables?
A: Introduction: Below are results may we anticipate from preemptive goal programming with two choice…
Q: What kind of results can we expect from a preemptive goal programming problem with only two choice…
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Q: Problem Description Suppose that you are scheduling a room. You are given a group of activities each…
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Q: What type of results can we anticipate when there are just two choice variables in a preemptive goal…
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In a preemptive goal
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- Draw flow diagram of while and for loop. Explain a scenarios in which for loop is best suited and a scenario in which while loop is best suited?Problem Description Suppose that you are scheduling a room. You are given a group of activities each of which has a start and stop time. Two activities are compatible if they do not overlap (one activity finishes before another one starts). For example, in the following activities, activity A is compatible with activities B and D but not activity C: Activity Start Time Stop time A 1 2 B 2 1 B. The room has a start time and an end time in which it is available. Your goal is to write a recursive method to schedule compatible activities that result in the maximum usage of the room. The usage of the room is defined as the total duration of the scheduled activities, that is, the sum of (stop time - start time) for all the activities scheduled to run in the room. For example suppose that the start time and end time in which the room is available is [1,7] for the above table. Hence, the possible schedules are: 1. Activities A, B,D: with room usage = (2-1)+(5-2) +(6-5) = 5 %3D 2. Activities C,…Maximization Problem: Production Optimization A metallurgical company produces three types of metal products: A, B and C. These Products require different amounts of resources to manufacture. The company has limitations on the number of labor hours, machines available and raw Materials. The goal is to maximize total profit. Variables X₁: Quantity of products A to produce. X₂: Quantity of products B to produce. X3: Quantity of products C to be produced. X4: Hours of labor used. X5: Hours of machines used. X: Amount of raw material used for A. X7: Amount of raw material used for B. X₂: Amount of raw material used for C. Xg: Upper limit on total product production. X10: Upper limit on the number of work hours available. Objective Function Maximize Z = 5x, +8x₂+6x3 Restrictions 2x₁+4x₂+3x3 ≤ x₂ (Labor restriction) 3x₁+2x₂+5x3 ≤ X5 (Machine restriction) X ≤ 5x₂ (Raw material for A) 2x, ≤ 6x₂ (Raw material for B) 3x ≤ 4x, (Raw material for C) X₂+x₂+x3 ≤ x₂ (Limit on total production) X4 SX₂0…
- Coin Change ProblemBy using dynamic programming methods,look for a combination of the minimum number of denominations that can be formed from a nominal amount of 284 money by using money denominations with a nominal value of 1, 5, 10, 25, 50 and 100!Dynamic Programming: Two coins X and YFlip coin X: gain 1 point for the head, and lose 1 point for the tailFlip coin Y: gain 3 points for the head, lose 3 points for the tail. After n round, if the final score is positive, you win. Otherwise, you lose. The score does not matter. Pr(s) be the probability of winning; r is the round; s is the score.P0(s) = 1 for s >= 1; P0(s) = 0 if s <= 0. a. Explain why P1(s) = 0 when s <= -3; P1(s) = 0.5 when -2 <= s <= 1; P1(s) = 1 for s >= 2. b. Explain why you must select X if s is 2 or 3, and you must select Y if s is −2 or −1. b. Determine P2(s) for each possible value of s and explain. (each probability will be one of 0, ¼, 1/2, ¾, 1) c. Fine a recurrence relation for Pr(s) with form Pr(s) = max[(?+?)/2, (?+?)/2]. Explain. d. Use Dynamic Programming to compute probability P100(0) (win the game if it has 100 rounds).Computer Science Investing in stocks is a way to create assets that are supposed to provide financial security over time. In solving this problem, we assume that an investor buys several shares of stock at a certain price. These shares are going to be sold later on for a different price. Obviously, if the selling price is higher than the acquisition price, the investor makes a profit, registering capital gain. If the shares are sold at a lower price, the investor has a loss, which marks a negative capital gain. This whole process is done over a period of time, and you are required to create a scenario for buying and selling shares. The assumption is that the investor sells shares in the order in which they were purchased. The goal is to calculate the capital gain over time. Suppose that you buy n shares of stock or mutual fund for d dollars each. Later, you sell some of these shares. If the sale price exceeds the purchase price, you have made a profit—a capital gain. On the other…
- Python Programming: Option Pricing Using Monte Carlo SimulationStructured programming is a problem-solving strategy and a methodology that includes two guidelines: the flow of control in a program should be as simple as possible, and the construction of a program should embody top-down design. The top-down design, also referred to as stepwise refinement, consists of repeatedly decomposing a problem into smaller problems. Eventually, one has a collection of small problems or tasks, each of which can be easily coded. The function construct in C is used to write code that solves the small problems that results from this decomposition. These functions are combined into other functions and ultimately used in main(..) to solve the original problem. The function mechanism is provided in C to perform distinct programming tasks. Some functions, such as printf(..) and scanf(..), are provided by the system; some others can be written by the programmer. Write a C program that includes the definitions of the following functions: a) is_lower(..) : is it a…Problem Statement: An election is a formal group decision-making process by which a population chooses a candidate by casting votes. Each candidate is assigned name and a specific symbol. A ballot paper is used to cast the vote. Each ballot paper contains symbols of the candidate. A person can vote a candidate by stamping on a specific symbol. The ballot paper should be considered as a spoilt ballot if a person does not stamp or stamp on more than one symbol. Finally ballot paper has to be dropped in a ballot box. Write a C++ program that reads the information from the user to enter the name of the candidate, the total number of received votes, and the spoilt votes in a local election. The total number of participants (candidates) are 5. If the user mistakenly enters any negative value, the program should consider that value as a positive integer. The program should output the name, total received votes, and the percentage of obtained votes by the winning candidate. The program should…
- Python Programming: Option Pricing Using Monte Carlo SimulationStructured programming is a problem-solving strategy and a methodology that includes two guidelines: the flow of control in a program should be as simple as possible and the construction of a program should embody top-down design. The top-down design, also referred to as stepwise refinement, consists of repeatedly decomposing a problem into smaller problems. Eventually, one has a collection of small problems or tasks, each of which can be easily coded. The function construct in C is used to write code that solves the small problems that results from this decomposition. These functions are combined into other functions and ultimately used in main(..) to solve the original problem. The function mechanism is provided in C to perform distinct programming tasks. Some functions, such as printf(..) and scanf(..), are provided by the system; some others can be written by the programmer. Write a C program that includes the definitions of the following functions: a) area_rectangle(..) : area of…Why, when solving a problem involving linear programming, does the object function take priority over the constraints?