Given the following LP, what is the dual objective function?-3x2Maximize 2x₁subject tox₁++x₂X2≥ 3x₁3x₁ +x₂ ≤ 6X2X1₂X2 ≥ 0.O a. 2W1-3W2 (minimization)b. 3W1 +6W2 (minimization)O c. W1 + 3W2 (minimization)O d. 3W1 +6W2 (maximization)

Question is about Maximize So Dual is Minimization. So Option d is incorrect. Dual has two variables…

Answered: Given the following LP, what is the…

Given the following LP, what is the dual objective function? Maximize 2x₁ - 3.x2 subject to x₁ + x₂ ≥ 3 x2 3x1 + X1, + x₂ ≤ 6 X₂ ≥ 0.

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

See similar textbooks

Similar questions

6. Firms 1 and 2 compete Bertrand-style. They each have zero marginal costs and zero fixed costs, and simply wish to maximize their own revenue. For a constant K > 0, demand is q = K – p for the firm with the lower price and zero for the firm with the higher price, or q = 0.5(K – p) if both firms set the same price. When it matters, firms have a time discount factor 8. a. Find the unique NE prices and profits of the static game. b. Suppose there was only one firm who set monopoly prices, called pm. What would Pm be? Back to two competing firms. c. Suppose this game is repeated 10 times; describe the unique SPNE outcome. d. Suppose the game is repeated indefinitely. Describe SPNE strategies that would result in both players playing pm, given high enough 6. e. What is the lowest & can be for your strategy described in part (d) to work?
Consider the following linear programming problem: Min A + 2B s.t. A + 4B ≤ 21 2A + B ≥ 7 3A + 1.5B ≤ 21 -2A + 6B ≥ 0 A, B ≥ 0 Determine the amount of slack or surplus for each constraint. If required, round your answers to one decimal place. (1) A + 4B ≤ 21 Slack or surplus (2) 2A + B ≥ 7 Slack or surplus (3) 3A + 1.5B ≤ 21 Slack or surplus (4) -2A + 6B ≥ 0 Slack or surplus
1. Consider an instance of the Knapsack Problem without repetitions with 4 items, having weights and values as follows. The weights (in pounds) are w1=2, w2 =7, w3 =10, w4 =12. The dollar values of these items are respectively v1 = 12, v2 = 28, v3 = 30, v4 = 5. The capacity of the knapsack is 12. (a) Find the optimal solution for Fractional Knapsack. (b) Find the optimal solution for 0-1 Knapsack.
There is a thief enters a house for robbing purpose. The thief can carry a maximal weight of 60 kg into his backpack. There are 5 items in the house with the following weights and values as shown in Table 1. Table 1: Item with Weight and Value Item Weight Value A 30 B 10 40 C 15 45 D 22 77 E 25 90 Using 0/1 Knapsack Problem dynamic programming approach, calculate what is the maximum value of items should the thief take and determine the selected item. Show the calculation process.
In this problem we have n jobs j1, j2, ..., jn, each has an associated deadline d1, d2, ..., dn and profit p1, p2, ..., pn. Profit will only be awarded or earned if the job is completed before the deadline. We assume that each job takes 1 unit of time to complete. The objective is to earn maximum profit when only one job can be scheduled or processed at any given time.Provide the pseudocode of an algorithm to find the sequence of jobs to do with the maximum total profit. Also describe the main idea of your algorithm using plain language.[Hint: You can select the jobs in a greedy way. You can use the following example to help your analysis.] Job J1 J2 J3 J4 J5 Deadline 2 1 3 2 1 Profit 60 100 20 40 20 The best job sequence would be J2 →J1 →J3.
2. Given a worksheet that stores the top 5 students' marks. The Final marks are calculated as 25% of Term1 marks + 30% of Term2 marks and 45% of Terms3 marks. The Term3 marks entered in the worksheet are estimated marks. In order to avail the scholarship, the student must obtain final % as > 80%. 15 16 Name 17 Tarun 18 Tabassum 19 Krishanan 20 Abraham 21 Simran 22 B Term1 360 377 410 390 380 D Max Marks : 500 Term2 Term3 389 355 390 360 368 410 430 460 450 410 Final =B18*0.25 +C18*0.3+D18*0.45 391.2 394.25 426.5 408 389.9 Final % 78.24 78.85 85.3 81.6 77.98 =E17 / 500 % Estimate how much Term3 marks would be required by each student to meet this condition. For this : (i) Either use Goal Seek by taking target cell from Final % column and variable cell from Term3 column. (ii) Or use Scenario for Term3 values to get desired result in Final %.
Problem 2 Consider the following simplex tableau. Row 0 3 2 X1 X2 X3 X4 X5 0-5 00 3 00 1 0 4 -1 -10 0-2 -3 X6 7 8 RHS 1 3 −1 5 0 620 2620 1 1 0 3 0 12 6 BV 0 1 1 0 0 6-4 000 Suppose you are maximizing the objective z. Identify which one of the following statements is correct, and answer the corresponding question. 1. The current basic feasible solution is optimal. If so, what is an optimal solution and the optimal objective value? 5000 or 2. The linear program is unbounded. If so, provide a solution with objective value z = larger. 3. At least one more iteration of the simplex algorithm is required to solve this problem. If so, identify which variable will leave the basis (go from being basic to being nonbasic), and which variable will enter the basis in the next iteration.
For the following problem, what would be the objective function that aims at maximizing the total revenue considering that X1, X2, X3, and X4 are the number of units produced and sold of Products 1, 2, 3, and 4, respectively? Manufacturing time (hr) per unit Machine Cost per hr ($) Product 1 Product 2 Product 3 Product 4 Capacity (hr) 1 10 3 4 2 500 3 2 1 2 380 3 2 1 450 70 55 2 5 3 4 Unit selling price (S) O a. 12X1+8X2+7X3+5X4 O b. None of the answers OC. 20X1+30X2+40X3+20X4 d. 75X1+70X2+55X3+45X4 7 75 45
Javier was the winner of the lottery and decided to invest $50,000 USD in the Stock Market. HeYou plan to buy shares in a mining company (M) and a forestry company (F). AlthoughA long-term goal is to obtain the maximum possible benefits, it has not left aside thehigh risk involved in purchasing shares. A risk is assigned from 1 to 10 (with 10 as theriskier) to each of the two actions. The total risk is found by multiplying therisk of each stock for the dollars invested in it. The investor would like to maximize the estimated return on the investment, but the indexThe average risk of this should not be more than 6 of the total invested ($50,000 USD).Additionally, you cannot invest more than $30,000 USD in the forestry company.A) Formulate the problem using the Simplex method, and find the optimal solution. Do it in python using the scipy library.
Create a case problem with the application of liner programming distribution models (assignment problem) have a formulation and interpret the result of it with the following format 1. Decision variable 2. Objective function 3. Constraints 4. Optimal solution
Ram mohan and sohan took loan of RS x,y,z on rate of intrest are %,p%,q% for time t1,t2,t3 years respectively .calculate simple intrest they will pay and find who will pay the most using ternary operator?
5. Consider the problem of predicting how well a student does in her second year of college/university, given how well she did in her first year. Specifically, let x be equal to the number of "A" grades (including A-. A and A+ grades) that a student receives in their first year of college (freshmen year). We would like to predict the value of y, which we define as the number of "A" grades they get in their second year (sophomore year). Here each row is one training example. Recall that in linear regression, our hypothesis is he(x)=0o+O;x, and we use m to denote the number of training examples. y 4 3 4 1 4 3 For the training set given above, what is the value of m? (which should be a number between 0 and 10).