Consider the following transportation problem:W₁W₂W3DemandsThe minimum-entry method produces the following initial basic feasible solution:141882514188D₁ D₂ D₁ D₁ Supplies41422 360101819 25120823 2723030 10 51530221019)232219102336 |025127 2362527none of the other four.2 1418]3018(14)18830221910232210(19)2336 JO]251227365(25)271010]|12

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Answered: Consider the following transportation…

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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I. What do you mean by transportation problem? II. Write general form of the transportation problem. III. Find the initial basic feasible solution of the following Transportation Problem by Least Cost Method. The transportation costs per unit are shown in the following table. Plant Distribution Centre Supply D1 D2 D3 P1 10 7 12 40 P2 13 14 30 P3 6. 9 15 30 Demand 10 50 40
3. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your system. You may use either approach you learned in class and on the video. The annual production of skateboards at a local factory is described by the equation: U (x,y) = 800x(1/4) y(3/4) where x is worker-hours and y is capital expenditure (measured in units of $10 dollars). Manufacturing costs the factory roughly 10x + 20y dollars. a) What values of x and y will allow the factory to maximize the production of skateboards while spending only $600?
c. Find the initial feasible solution using. (i) NWCR method (ii) VAM method Also compare both results. TOA В C D Supply From I 12 5 55 II 8 1 6 45 III 1 12 4 7 30 Demand 40 20 40 20
Point A// For the following LP model, determine the optimal solution using the .simplex method Max 50x₁ + 40x2 s.t. Assembly time Portable display Warehouse capacity 3x₁ + 5x₂ 150 1x₂20 8x₁ + 5x₂ ≤ 300 X₁, X₂ ≥ 0
c. Find the initial feasible solution using. VAM method. TO From Supply 3 4 300 II 2 6. 9. 400 III 8. 3 500 Demand 250 350 400 200 a22 53
Q2. Complete the following iteration tableau of Maximization problem of LPP and comment on the nature of the optimal solution. 1 Basic variables X1 Cbi X2 S1 $2 $3 Solution 2 1 -1 30 X1 1 X2 1 -2 1 20 S2 1 Izj |j-zj
Consider the transportation problem given below. Destinations Source 1 2 3 Supplies 1 9 6 4 5 2 4 10 2 6 3 15 7 10 5 Demands 9 3 4 16 Construct the NW corner solution Compute the total cost of the NW corner solution Using the stepping stone method, find the min-cost solution.
Maximize z = 4x + 2y, subject to the following constraints. (See Example 8. If an answer does not exist, enter DNE.) 4x + 2y ≤ 22 3x + 4y ≤ 24 x > 0, Υ Σ Ο The maximum value is z = (larger x-value). H Z on the line segment terminating at the points (x, y) = ( (smaller x-value) and (x, y) =

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Consider the following transportation problem: D₁ D2 D₁ D₁ Supplies 14 22 36 0 W₁ 10 W₂ 18 19 25 1 20 W3 8 23 27 2 30 Demands 30 10 5 15 The minimum-entry method produces the following initial basic feasible solution: