السؤال 6 Which of the following method is used to check the optimality of the initial solution of a transportation ?problem Two-phase method .a Modified disturbution method.b O Hungarian method .c O

Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

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Q: 2. identify the feasible region and optimal solution for the linear program max z =2x1 + 3x2 s.t 1x1…

A: To identify the feasible region

Q: Consider the following linear program (LP): minimize -2x1 + x2 subject to + x2 X3 = 3 X1 + x2 + X4…

A: Given minimize   -2x1+x2subject to x1+x2-x3=3                  x1+x2+x4=6…

Q: Given the LP Model Minimize: z = X- y subject to: 4х - Зу <0 x + y < 10 X, y 2 0

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Q: Given the linear program Max 3A + 3B s.t.          -1 + 2B0 What is the optimal solution for A?…

A: For simplification : A = x1 B = x2 Now, MAX Z = 3x1 + 3x2subject to-x1 + 2x2 &lt;= 8x1 + 2x2 &lt;=…

Q: Find the maximum and/or minimum value(s) of the objective function on the feasible set S. (If an…

A: we have to find all values of z at the vertex

Q: (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the…

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Q: 2. Find the Initial basic feasible solution by applying all three methods (North west corner method,…

A: Total number of supply constraints : 3Total number of demand constraints : 3 Problem Table is

Q: Determine an initial basic feasible solution to the given transportation problems using North-West…

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Q: TRANSPORTATION MODEL Warehouse C SUPPLY Factory 1 4 1 100 Factory 2 12 8 200 Factory 3 8. 10 16 150…

A: Demand and supply both are same and equal to 450 unit, so it is balanced transportation problem.

Q: 1. How many corner points are there in this LP problem A. 1 B. 2 C. 3 D. 4   2. Which of the…

A: Introduction: Linear programming is a mathematical technique for optimising operations given…

Q: Using Lagrangian Multiplier Method, maximize the following utility function: U=2x+3y+ 3xy Subject…

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Q: Convert the given problem into a maximization problem with positive constants on the right side of…

A: In Two Phase Method, the whole procedure of solving a linear programming problem (LPP) involving…

Q: 1.) Using the following model, answer the questions below. Max 5A + 10B 2A + 4B s 39 s. t. 2A + Bs…

A: Given LPP is  Maximize 5A+10B Subject to 2A+4B≤392A+B≤33A≥12A,B≥0 If A=12, B=4 is a feasible…

Q: operation research: Question: Find the initial feasible solution using.                 (i) NWCR…

A: Since the total demand (120) is less than the total supply (130), so the given problem is an…

Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

A: Answer

Q: [1.41] Consider the problem: Minimize cx subject to Ax ≥b, x ≥ 0. Suppose that a new constraint is…

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Q: Given the LP Model Minimize: z = x- y subject to: 4х — Зу S0 x + y < 10 | х, у 2 0

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Q: 2. a. Find the starting solution of this transportation method by North-West Method. (Unit…

A: NOTE: Due to time limit answer for only one method can be answered, for others please ask in a…

Q: following Destination Supply Source 2 3 4 2 3 10 15 21 4 3 Demand 11 17 12 a) Formulate this problem…

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Q: Suppose the primal LP is a maximization problem, and it has a feasible solution with objective value…

A: For the following question we use strong duality theorem which states that, The strong duality…

Q: [1.41] Consider the problem: Minimize cx subject to Axb, x ≥ 0. Suppose that a new constraint is…

A: We are given the problem Minimize cx subject to Ax≥b,x≥0 Suppose, a new constraint is added to the…

Q: Given the LP Model Minimize: z = X - y subject to: 4х — Зу 20 Зх — 4у < 0 - X, y 2 0

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Q: [1.43] Consider the problem: Minimize cx subject to Ax≥b, x ≥ 0. Suppose that a constraint, say…

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Q: Mark each statement as True or False. The basic feasible solutions before and after a pivot are…

A: mark each statement true or false (a) the basic feasible solutions before and after a pivot are…

Q: Minimize = 4x+8y subject to: x + 1.5y245 2x +0.5y ≥ 40 x+y≤ 40 x,y ≥0

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Q: Given the LP Model Minimize: z = x- y subject to: 4x — Зу 20 3x – 4y < 0 х,у 2 0

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Q: Solve the given LP problem on the right by using The Graphical Solution Method. a) Find the optimal…

A: Let us consider the first constraint as 3x1+2x2=12 in order to draw the first constraint Similarly,…

Q: 2. Consider the following linear programming problem: Maximize p 5x+ 10y subject to 3x-2y < 30 4.x…

A: Solution (a)

Q: Vanlia nental eggs and eam. Into each quar 1000 eggs and 500 cups of cream. Draw the feasible region…

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Q: Given the following linear programming problem: Max Z = 4x - z subject to X+ y +z s 6 X-y +zs 10…

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Q: pply the Vogel’s Approximation Method to obtain the initial transportation schedule and hence…

A: Since you've asked multiple questions, as per the answering guidelines we are supposed to answer the…

Q: Given the utility function: Max U = xy? subject to x + y 0. i) Write the Lagrangian function. ii)…

A: The given utility function is: Max U=xy2Subject to:x+y≤1002x+y≤120x,y&gt;0 (1). The given…

Q: 1. The LP problem has an unbounded feasible region A. True B.False 2. How many corner points are…

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Q: 10) Consider the following linear programming problem Мax 8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X…

A: Solution : Given that ,                                        Max   8X+7Ys.t.   15X+5Y≤75…

Q: Use North West Corner Method to Find initial feasible solution for the following transportation…

A: In the given problem,  Number of supply constraints : 3Number of demand constraints : 3Problem Table…

Q: Consider the following LP model and it is graphical solution to answer questions from a) to g).…

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Q: 1.) The LP problem has an unbounded feasible region A.) True B.) False   2.)How many corner points…

A: The linear function that needs to be optimized(maximize or minimize) is called the objective…

Q: Determine if the following tableau is the final tableau for a minimization LP? if not, apply the…

A: From the given information. The final tableau for a minimization LP is as follows.…

Q: Consider the following maximization problem and select the correct number of slack variables…

A: For convenience, we take x=x1, y=x2, x=x3 and P=Z.

Q: 2. For the Transportation Problem given by the following tableau. find an initial basic feasible…

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Q: Solve the given linear programming problem using the simplex method. If no optimal solution exists,…

A: Given-  Maximize p = x + y + 2zsubject tox + 2y + 2z ≤ 602x + y + 3z ≤ 60x + 3y + 6z ≤ 60x ≥ 0, y ≥…

Q: the same time, changing the constraint right-hand side for Resource_C to 590? e Cells Final…

A: NOTE: As per the guidelines, we are supposed to solve on question at a time only. Please repost…

Q: 2. Obtain the initial basic feasible solution to the following transportation problem using north-…

A: Given table with Demand and supply is as follows Given transportation problem is balanced so apply…

Q: Warehouse 1 locate at coordinate (200, 60) and has a daily outbound goods volume of 2,500 units…

A: P

Q: What is the requirement of initial basic feasible solution in transportation Problem.    Which…

A: Northwest corner rule and VAM methods are the two measurements of transportation cost which is used…

Q: Consider the LP model below: Маx z 3D х, + X2 șt. 4x1 + x2 < 100 X1 + x2 < 80 X1 S 40 X1, X2 2 0…

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Q: a) is your colleague correct in their assertion? if not, how would you explain to them why this…

A: A simplex table is optimum table and we get the optimal solution if the value of reduced cost of…