Consider the basic feasible solution of a transportation problem given below:1451013 1211131414510The next basic feasible solution produced by the U-V method is1714510]13 121113141713 1211 131417 1451013145101114O none of the other four.1312131114]17121317

first of all we have to do allocation in the given transportation problem.After allocation, we have…

Answered: Consider the basic feasible solution of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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y a b p a -2 4 24 2 11 1 3 44 y -1 3 7 12 3 9. 1 52 a) What is the optimal solution? b) What is the optimal value? 6 6 N O E Oo
4. Solve the following transportation problem using the following table. Solve the phase 1 using North West Corner Method, and Vogel's Approximation Method. F1 F2 F3 Warehouse Requirement W1 9 11 12 35 W2 14 10 8 20 W3 12 6 15 20 Factory Capacity 25 25 25
Consider the following transportation table: Destination Origin Supply 1 2 3 1 3 5 1 300 2 7 1 8 400 3 3 6 2 500 Demand 250 350 400 1. 2. Find an initial feasible solution using the northwest corner rule. Hint: The table must be balanced before you can proceed. Solve this problem using the transportation simplex method outlined in class. Report the optimal solution (BVs and their values) and the objective function value.
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Consider the following LP model: max 10x1 + 12x2 + s.t. x1 2x1 2x1 + + + X2 + 2x2 + 2x3 + 2x3 2x2 + X3 X 12x3 ≤20 0 Use the simplex method and find the optimal solution for this problem. (You need to determine the objective value, the basic and non-basic variables and their values.)
determine an initial basic feasible solution to the following transportation problem using North-west corner method.
3. Consider the following mathematical model: Maximize z = 3x+x2 Subject to 15x1-5x2 < 35 30x1-10x2 2 55 xị 20, x2 20 You are only considering three alternatives: Alternative 1 (xi = 3, x2 = 2) Alternative 2 (xı = 3, x2 = 3) Alternative 3 (xı= 3, x2 = 4) a) Determine whether each alternative is feasible or infeasible. b) Which alternative do you recommend? Why? (Which is the best solution to the problem)
Use a graphing calculator or a computer program for the simplex method to solve this linear programming problem. S1 $2 X4 .625 1 0 .5 .375 0 1 0 0 0 0 X1 0 0 1 X2 X3 0 .375 .75 .25 125 0 -105-80 -75 - 65 S3 = 0 530 0 630 1 280 0 0 The optimal solution X₁ = ‚ X₂ = ₁ ×3 = (Do not round until the final answer. Then round to the nearest integer as needed.) and X4 = produces the maximum value
Q 1. Find the Initial basic feasible solution for the following problem using VAM method and Apply UV method to optimize the solution. Good have to be transported from factories F1,F2,F3 to the warehouse W1,W2,W3,W4. The transportation cost per capacities and requirement of the ware house are given in the following table. unit WI W2 W3 W4 Capacity F1 95 105 80 15 12 F2 115 180 40 30 7 F3 195 18095 70 5 Requirement 5 4 4 11
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
Locate all the corner points And find the maximum value of the objective function P=14x+12y over the feasible region

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Consider the basic feasible solution of a transportation problem given below 14 5 10 14 5 10 13 11 14 5 10 The next basic feasible solution produced by the U-V method is 12 13 17 13 12 11 13 14 13 11 14 17 12 13 17