No chatgpt pls will upvote Solve the following integer programming problem by the branch-and-bound algorithm. (Hint:You do not need to solve the subproblems using the simplex algorithm.)Minimizesubject to6x1+7x2+5x3 + 3x + 4x5 +8x64x1 + 6x2+3x3 + 2x4 + 3x5 +5x ≥ 14X1, X2, X3, X4, X5, X6 € {0,1}

This problem minimizes the cost function over six decision variables each of which takes the value…

Answered: Solve the following integer programming…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 2CEXP

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An advertising firm has D dollars to spend on reachingcustomers in T separate markets. Market t consists of ktpeople. If x dollars are spent on advertising in market t, theprobability that a given person in market t will be reachedis pt(x). Each person in market t who is reached will buy ctunits of the product. A person who is not reached will notbuy any of the product. Formulate a dynamic programmingrecursion that could be used to maximize the expectednumber of units sold in T markets.
Solve the following integer programming problem using branch and bound approach. Maximize Profit = $2X1 + $3X2 %3D Subject to : X1+ 3X2<9 3X1 + X2<7 X1 - X23 1 Where both X1 and X2 must be nonnegative integer values.
Exercise 3.2 -Max Z = -3x1 + 5x2 -constrains: -5x1 - 7x2 ≥ 3 -x1 ≤ 3 -x2 ≤ 3 -x1, x2 ≥ 0 and integer Solve the pure integer programming model given above by applying the branch-and-bound method step by step. Thank you so much.
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Consider the following integer programming problem: max 5×₁ + 8x2 s.t. 2x1 + 3x2 ≤7 X1, X2 Є Z+. (i) Verify that x₁ ≤ 3 and X2 ≤ 2 are valid inequalities for the problem. (ii) Solve the problem using the branch-and-bound method. Provide the details of your choice of the next active node and the reasons for pruning nodes. You must solve the linear programming relaxations by the simplex method.
Consider the following model: (see photo) (c) State the corresponding dual model (d) Solve the dual problem using Simplex algorithm
A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm’s goal is to maximize the net present value of their decision while not spending more than their currently available capital.Max 20x1 + 30x2 + 10x3 + 15x4s.t. 5x1 + 7x2 + 12x3 + 11x4 ≤ 21 {Constraint 1}x1 + x2 + x3 + x4 ≥ 2 {Constraint 2}x1 + x2 ≤ 1 {Constraint 3}x1 + x3 ≥ 1 {Constraint 4}x2 = x4 {Constraint 5}xj={1, if location j is selected 0, otherwisexj=1, if location j is selected 0, otherwiseWhich constraint ensures that the firm will not spend more capital than it has available (assume that each potential location has a different cost)? A. Constraint 1 B. Constraint 2 C. Constraint 3 D. Constraint 4 E. Constraint 5
A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm’s goal is to maximize the net present value of their decision while not spending more than their currently available capital.Max 20x1 + 30x2 + 10x3 + 15x4s.t. 5x1 + 7x2 + 12x3 + 11x4 ≤ 21 {Constraint 1}x1 + x2 + x3 + x4 ≥ 2 {Constraint 2}x1 + x2 ≤ 1 {Constraint 3}x1 + x3 ≥ 1 {Constraint 4}x2 = x4 {Constraint 5}xj={1, if location j is selected ; 0, otherwise}Which of the constraints enforces a contingent relationship? A. Constraint 1 B. Constraint 2 C. Constraint 3 D. Constraint 4 E. Constraint 5
An article in a sociology journal stated that if a particular health-care program for the elderly were initiated, then t years after its start, n thousand elderly people would receive direct benefits, where =글3-612 + 32t [0, 12] n 3= For what value of t does the maximum number receive benefits? O 12 F9 F8 F7 F5 F6 F4 & 7 96
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Solve the following integer programming problem by the branch-and-bound algorithm. (Hint: You do not need to solve the subproblems using the simplex algorithm.) Minimize subject to 6x1+7x2+5x3 + 3x + 4x5 +8x6 4x1 + 6x2+3x3 + 2x4 + 3x5 +5x ≥ 14 X1, X2, X3, X4, X5, X6 € {0,1}