c. Find the initial feasible solution using.VAM method.TOFromSupply34300II26.9.400III8.3500Demand250350400200a2253

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Answered: c. Find the initial feasible solution…

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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a. Determine the solution to the following function:Maximize 2xy subject to 4x + 2y = 200b. Determine the solution to the following function:Minimize 2x2 + 2y2 subject to 2x + 4y = 8
y = 2x + 1 2y - 4x =- 2 x = y - 2 y = 2 5- 4- 4- 3 3 2- -2+ -3 -2 -1 1 2 3 4 1 -2+ -2- -3 %3D4 Solution= Solution=
Use the gauss-seidel method to solve the following system until the percent relative error fall at Es = 5%. 10x, + 2x2 – X3 = 27 -3x1 – 6x2 + 2x3 = -61.5 X1 + x2 + 5x3 = -21.5
Q3. Solve the following linear system by Gauss elimination. Show the intermediate steps. 6x2 + 13x3 = 137.86 6x1 8xз — 85.88 13х1 — 8x. = 178.54
Use the Gauss-Seidel method to solve the following system until the percent relative error falls below &, = 5%. -3x1 + x2 + 12x3 = 50 6x1-x2-x3 = 3 6x1 + 9x2 + x3 = 40
Find the set of solutions for the given linear s -9x, + X2 + 9x3 = 1 %3D 5x3 + X4 = -3 - (X1, X2, X3, X4) = (
Pu :- Solve the following System of equatinn by Gaux - Seidel iteration method working fo e = &. 0001 10.27 A, -1.23 A2 + 0.67 d3 = 4.27 2.39 A, -12.65 Bz+1.133 = 1-26 1.79 d, + 3.61 dz +15.II A3 = 12.H Ans. Ai= 0.3693 Az =0.0405 A3 =0.7878
Solve the following system of four equations using Jacobi Method. Assume initial value of unknowns to be zero (0) with the ff % error of the variables: (x, = -2.49%, x2 = 1.98%, x3 = 3.78%, x4 = 4.18%). Use 4 decimal places for the entire computation. 3x2 – x3 + 8x4 = 15 10x1 – x2 + 2x3 = 6 X1 + 11x2 – x3 + 3x4 = 25 2x1 – x2 + 10x3 – x4 = -11
Q1 only handwritten solution accepted
Use the Gauss-Seidel method to solve the following system until the percent relative error fallsbelow ea = 5%. −3x1 + x2 + 12x3 = 506x1 − x2 − x3 = 36x1 + 9x2 + x3 = 40
Q2. Pharmaceutical company producing a single product sold it through five agencies situated in different cities. All of sudden there rouse a demand for the product in another five cities that didn't agency of the company. The company is now facing the problem of deciding on how to assign the existing agencies in order to dispatch the product to needy cities in such a way that the travelling distance is minimized. The distance between the surplus and deficit cities in kilometer is given the following table. Surplus city Deficit cities Deficit cites a b d. e A1 160 130 115 190 200 B1 135 120 130 160 175 C1 140 110 125 170 185 D1 50 50 80 80 110 E1 55 35 80 80 105 Determine the optimum assignment schedule.
Bruce's Material Company hauls gravel to a construction site, using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Bruce must deliver a minimum of 240 cubic yards per day to satisfy her contract with the builder. The union contract with her drivers requires that the total number of loads per day is a minimum of 8. How many loads should be made in each truck per day to minimize the total cost? Capacity (yd³) Cost per Load Small Truck Large Truck 40 $97 60 $70 In order to minimize the total cost, the number of loads in a small truck that should be made is and the number of loads in a large truck that should be made is

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c. Find the initial feasible solution using. VAM method. TO From B D Supply 3. 4 300 II 9. 400 III 8. 3 500 Denand 250 350 400 200