In a BIP problem, 1 corresponds to a yes decision and 0 to a no decision. If there are 4 projects under consideration (A, B, C, and D) and at most 2 can be chosen then the following constraint needs to be added to the formulation: O A+8.C+ Ds1. OA+B+C+Ds2. O A•B+C• Ds4. O AB+C+D=2 O None of the choices is correct
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- Computer Science Question The first line consist a number X i.e., the number of test cases. The first line consists three space-separated integers N, Q1, and Q1. Then Q1 lines follow, each containing a description of a road proposed0. Each of these lines contains three space-separated integers p, q, and r, where p and q denote the end points of the road and r denotes the associated cost. Then Q1 lines follow, each containing a description of a road proposed by Brian's company in the same format.Output a single line for each test case. If it is impossible to choose a subset of the roads in such a way that for each pair of cities, there is exactly one path of roads connecting them, output a single line containing "No way" for that test case. Otherwise, output a single line containing two space-separated integers: the maximum profit Brian can gain and the minimum total cost of the chosen roads that yields the maximum profit.Input:13 1 10 1 10 1 3Output:No wayIn a BIP problem, 1 corresponds to a yes decision and 0 to a no decision. If project A can be undertaken only if project B is also undertaken then the following constraint needs to be added to the formulation: O A+BS1 O A+B=1. O ASB. O BSA O None of the choices is correct.A firm is considering projects A, B, . . . , H. Using binary variables x_a, ..., x_h and linear constraints, model the following conditions on the projects to be undertaken. At most one of A,B,...,H. Exactly two of A,B,...,H. If A then B. If A then not B. If not A then B. If A then B and C. If A then B, and if B then A. If A then B or C. If B or C then A. If B and C then A. If two or more of B,C,D,E then A. If m or more than n projects B,...,H then A.
- Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 −7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 If the right-hand side of Resource B changes to 10, then: Multiple Choice the original solution remains optimal. the problem must be resolved to find the optimal solution. the shadow price is valid. the shadow price is not valid. None of the choices is correct.Question 18 In a BIP problem, 1 corresponds to a yes decision and 0 to a no decision. If project A can be undertaken only if project B is also undertaken then the following constraint needs to be added to the formulatior O A+Bs1. O A+B=1. O AS B. O BSA. O None of the choices is correct.Three alternatives are being considered for an engineering project. Their cash-flow estimates are shown in the accompanying table. A and B are mutually exclusive, and C is an optional add-on feature to alternative A. Investment funds are limited to $5,000,000. Another constraint on this project is the engineering personnel needed to design and implement the solution. No more than 10,000 person-hours of engineering time can be committed to the project. Set up a linear integer programming formulation of this resource allocation problem.
- An Uni has n students who are regular competitive programmers. According to the ACM ICPC rules, each person can participate in the regional championship at most 5 times. The head of the Uni ACM Chapter is recently gathering teams to participate in this championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least k times? The first line of input contains two integers, n and k. The next line contains n integers: y1, y2, ..., yn (0 ≤ yi ≤ 5), where yi shows the number of times the i-thperson participated in the ACM ICPC Regional . Write a python program that prints how many teams can be formed according to the above problem statement. Sample Input 1 52 04510 Sample Input 2 64 012345 Sample Input 3 65 000000 Sample Output 1 1 Sample Output 2 0 Sample Output 3 2Find the minimum value as well as the point at which the minimum occurs of L = −2x₁ - 5x2 + x3 subject to the constraints x₁ + 2x₂x3 ≤ 6, x2 + 2x3 ≤ 6, 2x₂ + x3 ≤ 4, X1, X2, X3 > 0.It has been observed by management that some faculty members at theuniversity demonstrate a lackadaisical attitude toward teaching. They seldom go to class yet at the end of each month they receive full salary. Management has decided that GHs 200, 300, 400, and 500 will be deducted from a faculty’s salary if he/she offends once, twice, third time and forth time respectively in a month. This means that if a faculty member offends once in a month GHs200 will be deducted, if a faculty member offends twice in a month, GHs 500 (i.e. 200+300) will be deducted, if a faculty member offends three times in a month GHs 900 (i.e. 200+300+400), will be deducted and if a faculty member offends four times in a month GHs 1,400 (i.e. 200+300+400+500). Assuming all faculty members are on a flat salary rate of GHs 2000.a. Write a program to request for the names of four faculty members and number times he/she has absented him/herself from class in a month.One of them should have absented him/herself…
- b. A listening test is one of the components in the MyEnglish competency test that can be taken a maximum of 3 times only by each student. Students will have to redo the test if the marks obtained is less than 70. The final mark obtained by students is calculated based on the average marks from all the listening tests taken. Based on the above scenario, create a flow chart to solve the problem.Create a curve that uses a quadratic parametric approach with three interpolated control points. The equations which describe the curve are: $$f_x(u) = c_0 u^2 + c_1 u + c_2 $$ and $$f_y(u) = c_3 u^2 + c_4 u + c_5 $$ where $u$ ranges from 0.0 to 1.0. The first control point $$p_0$$ is for $u=0$, the second $p_1$ for $u=0.5$, and the third for $p_2$ and at $u=1.0$. Modify the code to implement your solution. It is sufficient for this task to get the program working with three control points, but you are most welcome to attempt a solution that works on four or more. Code: import java.awt.Graphics2D; import java.awt.geom.Ellipse2D; import java.awt.geom.Path2D; import java.awt.geom.Point2D; import javax.swing.JFrame; import javax.swing.JTabbedPane; import javax.swing.SwingUtilities; public class DotToDotDemo implements Runnable { /** * DotToDotDemo - A demo which draws dots between points to form a curve. * Eric McCreath 2015, 2019 - GPL * Modified by Matthew Aitchison 2022. */ JFrame…Assuming B, and C are all nullable, which of the following set constraints can be deduced from the following production? A → BC Check all that apply. Exactly five of them are correct. First(A) C First(B) First(A) C First(C) First(B) C First(A) O First(B) C First(C) O First(C) C First(A) First(C) C First(B) Follow(A) C Follow(B) Follow(A) C Follow(C) Follow(B) C Follow(A) O Follow(B) C Follow(C) Follow(C) Follow(A) Follow(C) C Follow(B) First(B) C Follow(C) First(C) C Follow(B) Follow(B) C First(C) O Follow(C) C First(B)