Find the solution using two-phase met hod Minimize Z = r+2x2 + 3x3-4 Subject to the constraints 5r, + 7x2 + 4r3 S 7 -4r, + 7r, + 5x3 2 - 2 29 3r, + 4r2 + 6r3 2 7

Q: Simplex Method Solve the following LP problem using the simplex method.  Maximize: P = 9x + 7y…

A: Given-   LP problem - Maximize: P = 9x + 7ySubject to:2x + y ≤ 40x + 3y ≤ 30x, y ≥ 0

Q: 1. Explain your observations about the optimal solution returned by the Solver.  2. If the company…

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Q: Based on the following sensitivity report, what would be the impact of changing the objective…

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Q: Find solution using simplex method. MAX Z = 6x1 + 4x2 subject to 2x1 + 3x2 ≤ 30 3x1 + 2x2 ≤ 24 x1 +…

A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

Q: 0s: FINO INITAL FEASIBLE SOLUTION COST FOR GIVEN PROBLEM by using Ar north-west cormer rule least…

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Q: Find solution using simplex method  MAX Z = 6x1 + 4x2 subject to x1 + x2 ≤ 5 x2 ≥ 8 and x1,x2 ≥ 0

A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

Q: OBJECTIVE FUNCTION Max Zt = 2X, + 4X2 +3X3 SUBJ TO: 3x1 + 4X2 + 2X3 =< 60 2X; + X2 + 2X3 =< 40 X1 +…

A: Given, MAX Z = 2x1 + 4x2 + 3x3subject to3x1 + 4x2 + 2x3 &lt;= 604x1 + x2 + 2x3 &lt;= 40x1 + 3x2 +…

Q: 2 Use the simplex algorithm to find the optimal solution to the following LP: min z = -4x, + x2 s.t.…

A:

Q: A company has 5 jobs to be done. The table below shows the cost of assigning the ith machine,…

A: We are using the Hungarian method to solve above given problem- The Hungarian strategy is a…

Q: b) Consider the following LP problem: Maximize z = 5x, + 2x2 Subject to 4x, - 2x2 < 40 X1 + 2x2 25…

A: Given: Max Z = 5 x1 + 2x2 subject to4 x1 - 2 x2 ≤ 40x1 + 2 x2 ≥ 5and x1,x2≥0;

Q: Consider the following linear programming problem: Min Z = 6x1 + 4x2 Subject to: 4x1 + 2x2 2 100 2x1…

A: Given LP-  Min Z = 6X1+4X2  Subject to Constraints-  4X1+2X2≥100 2X1+3X2≥90X1, X2≥0

Q: Tntroduce slack variables as necessary and then write the inital smplex tableau for • 3x + 3ky s11 *…

A: Max Z =     x1 + 6 x2 + 3 x3 subject to     x1 + 2 x2 + 3 x3 ≤ 11   6 x1 +   x2 + 5 x3…

Q: For the products A, B, C, and D, which of the following could be a linear programming objective…

A: This is the one and only linear functions from all the options available.

Q: Max 1W + 1.25M s.t. 5W + 7M 3W + 1M 2W + 2M W, M 20 S 4,400 S 2,240 S 1,600 oz of whole tomatoes oz…

A: Objective of the problem is to maximize profit. Each jar is of 10 ounces. Western Food Salsa (W)…

Q: subject to X - 2x, + x, 2 20 2x, + 4.x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M…

A: according to u answering A given,

Q: Suppose we are solving a maximization problem andthe variable xr is about to leave the basis.a What…

A:

Q: Маx 11X + 16Y subject to 8X +5Y 30 3X + 2Y 2 25 5X + 2Y < 148 X 20 Y 20 Consider the linear…

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Q: Which one of the following would be a valid objective function for linear programming? OA. Min7XY O…

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Q: olve the following problem with Excel Solver: (Leave no cells blank be certain to enter "0" wherever…

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Q: 9 Graphically determine two optimal solutions to the following LP: min z = 3x, + 5x2 3x, + 2x2 2 36…

A: Optimal Solution refers to the feasible solution for satisfying the set of constraints. The…

Q: max z = 3x + 2x2 12 s1 82 rhs 2x1 + 5x2 < 8 3x1 + 7x2 < 10 *1, 12 2 1 0 0 0 1/3 1 -2/3 4/3 0 1 7/3 0…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 2(a) The tableau is not optimal for either maximization or a minimization problem. Thus, when a…

A: The given tableau - Basic x1 x2 x3 x4 x5 x6 x7 x8 Solution Z 0 -5 0 4 -1 -10 0 0 620 x8 0 3 0…

Q: Write the Dual Problem for the below Primal prblem: Min. Z = 6X1 + 3X2 S. T. 6X1 + 3X2 + X3 >= 2 2X1…

A: The dual problem is converted from the primal problem using the following rules.  1. Minimization…

Q: Find the Range of Optimality for c, and c2 of the following LPP. C₁ C₂ Max z = 5x₁ + 10x2 92 s.t.,…

A: Objective Functions and Constraints:                 Based on the given details, the objective…

Q: Consider the problem to the right. Мaximize z= - 2x1 + 5x2 - 4x3 subject to - 5x2 + 2x3 s7 (a)…

A: Slack and surplus variables are used for the purpose of solving Linear Programming Problems (LPP).…

Q: Based on the following sensitivity analysis, which of the following products would be considered…

A: Using the sensitivity report:

Q: Consider the following integer linear programming problem. Маx Z - 4x +3у Subject to: 4x + 6y < 35…

A:

Q: 4 For each of the following, determine the direction in which the objective function increases: a z…

A: a) Z = 4x1 – x2 Based on the signs of the variables, it is clear that the objective function will…

Q: Solve the following linear programming problem: minimize Z = 3.x1+ 12x12 + 8x13 + 10x21 + 5x22 +6x23…

A: Linear programming, often known as linear optimization, is a method for obtaining the best result…

Q: -A Hot dog mixture in 1000-pound batches. Two ingredients is needed to create the mixture, chicken…

A: Decision Variable: Suppose-   X1 be the pound of chicken used as an ingredientX2 be the pound of…

Q: Which one is valid for use in an LP problem? O log x1 + x1 x2 +3x3 <=100 3x1+4x2 <5 x3 Maximize x1 +…

A: Linear programming is a technique to accomplish the best result in a numerical model whose…

Q: 2(a) The tableau is not optimal for either maximization or a minimization problem. Thus, when a…

A: The given tableau- Basic X1 X2 X3 X4 X5 X6 X7 X8 Solution Z 0 -5 0 4 -1 -10 0 0 620 X8 0 3 0…

Q: 10

A: The option (c ) represents the correct graphical solution. As the feasible area is bound by the…

Q: 3. Consider the following linear program: Min 8X + 12Y s.t. IX + 3Y 9 2X+ 2Y 10 6X + 2Y 18 X, Y 0…

A: Note: - Since we can answer only up to three subparts we will answer the first three(a, b, and c)…

Q: Graph the feasible region for the system of inequalities.   4x+y≤3 x-y>3

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Q: Based on the following sensitivity analysis, which of the following products would be considered…

A: Given sensitivity report : There are allowable ranges given corresponding to each variable.…

Q: · Solve the following problem by the simplex method: Мах 12х, + 18х + 10хз 2x, + 3x2 + 4x3 0 X1,…

A: Problem is Max Z =   12 x1 + 18 x2 + 10 x3 subject to   2 x1 + 3 x2 + 4 x3 ≤ 50…

Q: Two-Phase Methoc Find solution using Minimize z = 4x₁ + x₂ subject to 3x1 + x₂ = 3 4x1 + 3x₂2 ≥ 6 x1…

A: Linear programming is a mathematical technique that is also used in operations management…

Q: A manufacturing firm has discontinued production of a certain unprofitable product line.…

A: Decision for X1 200 Decision for X2 0 Decision for X3 0 decision for X4 2400…

Q: Wk Qu. 8-13 A firm offers three different prices on its... A firm offers three different prices on…

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Q: Compute the objective function value for the following problem: Min 260X + 65Y subject to : 2X>=0…

A:

Q: Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4.…

A: The formulas: Copyable formulas:   X1 X2 X3       Variable Value 0 0 0       Objective…

Q: A farmer has 100 acres of available land and $20,000 to spend. He wants to plant the combination of…

A: Minimize: W = 100y1+20,000y2 Constraints:  y1+400y2≥120y1+160y2≥40y1+280y2≥60

Q: Maximize 8x + 9y Subject to - x + 2 y 0 a) Solve using simplex method

A: Given data: Objective function for maximization: 8χ+9γ Constraints: 1. χ+2γ&lt;8 2. 2χ+3γ&lt;13 3.…

Q: Maximize z= 5R+8P Subject to R+3/2P≤900 1/2R+1/3P≤300 1/8R+1/4P≤100 R,P  ≥ 0  non-binding…

A: [1] - c. 4≤c1≤12   [2] - b. 10/3≤c1≤10

Q: 4. Mathematical model and optimal simplex table of a LP problem are given below. Calculate lower and…

A: Find the Given details below: Based on the given details, the objective functions and constraints…

Q: Minimize Z = -5x1 + 4r2 subject to 213 x2 + 4r3 < 3 2x2 + 6x3 < 10 (1) (2) I1 2 0, x2 2 0, x3 2 0.…

A: GivenMIN Z = -5x1 + 4x2 - 2x3subject tox1 - x2 + 4x3 &lt;= 33x1 - 2x2 + 6x3 &lt;= 10and x1,x2,x3…