The following figure shows a linear programming problem where the shaded region represents the polytope of feasible solutions, the colored lines represent constraint functions, and the black lines represent the contours of the objective function. Darker lines of the objective function contour represent larger values. It also shows five different points, all of which lie within the polytope. The linear program attempts to find the maximum value. Which point corresponds to a solution of the linear program? A) 2 (B) 5 D E 20 2 ...

The following figure shows a linear programming problem where the shaded region represents the polytope of feasible solutions, the colored lines represent constraint functions, and the black lines represent the contours of the objective function. Darker lines of the objective function contour represent larger values. It also shows five different points, all of which lie within the polytope. The linear program attempts to find the maximum value. Which point corresponds to a solution of the linear program? A) 2 (B) 5 D E 20 2 ...

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Integer Linear Programming Exercise Please solve the following real-world problem: A businesswoman can travel to city A, city B, or city C. It is 122 miles to city A, 237 miles to city B, and 307 miles to city C. She can travel up to 3000 miles. Dining and other expenses are $95 in city A, $130 in city B, and $180 in city C. Her expense account allows her to spend $2000. A trip to city A will generate $800 in sales, while a trip to city B will generate $1300 and a trip to city C will generate $1800. How many trips should she make to each city to maximize sales? First, define variables x1, x2, x3, etc. Next, write equations and inequalities that show the constraints. Then, write the objective function. Please note that solving the problem requires integer linear programming because all variables have additional constraints of being integers, not real numbers. This is an NP-hard problem that cannot be solved by regular linear programming algorithms implemented in SciPy. You can solve the…
Ql: The Collatz conjecture function is defined for a positive integer m as follows. (COO1) g(m) = 3m+1 if m is odd = m/2 if m is even =1 if m=1 The repeated application of the Collatz conjecture function, as follows: g(n), g(g(n)), g(g(g(n))), ... e.g. If m=17, the sequence is 1. g(17) = 52 2. g(52) = 26 3. g(26) = 13 4. g(13) = 40 5. g(40) = 20 6. g(20) = 10 7. g(10) = 5 8. g(5) = 16 9. g(16) = 8 10. g(8) = 4 11. g(4) = 2 12. g(2) = 1 Thus if m=17, apply the function 12 times in order to reach m=1. Use Recursive Function.
Q1. Srikanth is a school student. He studies in class 8th. One day his Math’s teacher came to the class and told them that he is going to start a new chapter “Measurement”. In order to give them a demo of that chapter, he told the students to find the volume of the class room using Volume( ). Input Constraint 15<=Length<=25 10<=Breadth<=20 20<=Height<=30 its the question to be solved in Dev C++
Q1. Srikanth is a school student. He studies in class 8th. One day his Math’s teacher came to the class and told them that he is going to start a new chapter “Measurement”. In order to give them a demo of that chapter, he told the students to find the volume of the class room using Volume( ). Input Constraint 15<=Length<=25 10<=Breadth<=20 20<=Height<=30 Note:- It needs to be solved in Dev C++ using #include<stdio.h>
Please write a code which computes the solution of the optimization problem f(x_s)=min f(x) using the ""The Steepest Descent Method". Please define the optimization problem giving the both formula of cost function and the inital iteration. You must also define the value of stopping parameter "epsilon".
This is a programming assignment. You can use any programming language. Program a GeneticAlgorithm to find an integer number between 0 and 31 that maximizes the function f (x) = x2.The initial procedure is given as below.• Population size: 6• Crossover probability: 100%• Mutation probability: 5%• Terminating criteria:o When your program produces an average of candidates is equal to or greater than29, then you can accept it as a terminating condition.• Fitness function:o You can use the function itself (f (x) = x2)as your fitness function.1. For the 1st generation, you need to print the process and result of selection, crossover, andmutation operation.you need to print the corresponding integer values and bits (binary values)of selection, crossover, and mutation operation. You also need to decide andprint the crossover point and the mutation point.2. From the 2nd generation, you do not have to print all results of selection, crossover,mutation operations. You can just print the result…
Your checkWinner function should determine whether or not the game is over. If the game is over, it should print who won (if anyone), and return true. If the game is not over, it should return false. The game is over if someone wins by getting three X's or three O's in a row, column or diagonal. So there are 8 different combinations of 3-in-a-row moves. You may assume that the board has a size of 3 (length and width). The TicTacBoard.java file I'm giving you uses a variable for that size, but you can assume it's always 3. The game is also over if the board is full but nobody won. I recommend you write some other functions to help in determining if the game is over. Remember you should never copy and paste code if you can avoid it. Write a function to perform a common, generalizable task, and call that function every time you need it. (Like I did with my dispRow method.) Please follow the standard conventions for indentation, meaningful variable names, etc. like the examples in class…
Your checkWinner function should determine whether or not the game is over. If the game is over, it should print who won (if anyone), and return true. If the game is not over, it should return false. The game is over if someone wins by getting three X's or three O's in a row, column or diagonal. So there are 8 different combinations of 3-in-a-row moves. You may assume that the board has a size of 3 (length and width). The TicTacBoard.java file I'm giving you uses a variable for that size, but you can assume it's always 3. The game is also over if the board is full but nobody won. I recommend you write some other functions to help in determining if the game is over. Remember you should never copy and paste code if you can avoid it. Write a function to perform a common, generalizable task, and call that function every time you need it. (Like I did with my dispRow method.) Please follow the standard conventions for indentation, meaningful variable names, etc. like the examples in class…
3: The function f(x)= max x, searches for the maximum value between a number. Prove formally that the function f(x) is convex.
You have a knapsack that can hold 10 pounds, which you can fill with any of these items. Object Weight (in pounds) $5 B C E 1. 2 3 4 Value (in dollars) $15 $30 $35 $24 In the Fractional Knapsack Problem, you are allowed to take f of each object, where f is some real number between 0 and 1. Your goal is to pick the objects that maximize the total value of your knapsack, with the condition that the chosen objects weigh at most 10 pounds. Determine the maximum total value of your knapsack.
Find the minimum product of sums for the following function. Each drop down menu has a number of choices. You must select an answer from each drop down menu. The choices include possible terms in the function. Another choice is "none", and should be used when none of the terms from that drop down menu are needed for the minimum solution. Finally, the choice "two or more" should be selected if more than one of the possible terms appearing in that drop down menu are required for the solution. There are too many possible 3 and 4 literal terms for automatic checking, so just select how many of them are required. f(a,b,c,d) = m(0, 1, 2, 4, 5, 6, 12, 13) + Σd(8, 14) Terms involving a and b: [Select] Terms involving a and c: [Select] Terms involving a and d: [Select] Terms involving b and c: [Select] Terms involving b and d: [Select] Terms involving c and d: [Select] Terms involving 3 literals: [Select] Terms involving 4 literals: [Select] > >
7. The roots of the quadratic equation ax² + bx + c = 0, a 0 are given by the following formula: -b = √b² - 4ac 2a In this formula, the term b² - 4ac is called the discriminant. If b²-4ac0, then the equation has a single (repeated) root. If 200