Problem 1: Solve the following assignment problem shown in Table using Hungarian method. Thematrix entries are processing time of each man in hours.12345120182117||1520231818 18|||1812252116IV2014272319V2515252020

As per the question we are given a 5×5 matrix which we have to solve (find the optimal solution)…

Answered: Problem 1: Solve the following…

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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2 3-2 1051 12 1 2 12 1. Convert the following matrix to row echelon form: LIST ALL ROW OPERATIONS USED! 21 2 12 1 [1 2 3 45 6.
Jump to level 1 Given the following bases for P2, find P, the change of coordinates matrix from B to C. C-B B = {-7x² - 15x - 12, 6x² + 2x - 7, 2x² - 4x + 3} C = {x² + x + 1, x + 1,1} P C-B Check || K î Ex: 5 Next ده 2 î ↑ ŵ ŵ 4
13. Solve the following (given as the augmented matrix): -4 1 71 1 | -5 5 1 10 31 -2 3 20
8. Find the inverse of each matrix below using elementary row operation 3 A = 1 a. 2 1 b. В - 3 1 1.
Solve the following systems of equations using a valid elimination algorithm, include all the elementary line operations that you used to solve it, then check that your result is correct, using another method (it can be computational). Write the solution vector. note: Do everything that is asked above (in the image are the equations and the matrix)
13. Solve the following system of equations by using the inverse of the coefficient matrix: 8.4x - 1.2y = 10.8 3.5x + 2.6y (Round to the nearest tenth) = 6.4 (S 5.2 or W 5.2)
1. Which of the following matrices is in reduced row echelon form? A. ⎛⎝⎜100010000⎞⎠⎟ B. ⎛⎝⎜100110001⎞⎠⎟ C. ⎛⎝⎜100110000⎞⎠⎟ D. ⎛⎝⎜100100110⎞⎠⎟ E. ⎛⎝⎜100110111⎞⎠⎟
1.Create a and b Matrix 2. To be able to make multiplication, change b's rows to columns with command. It will be C matrix 3. Multiply a andc matrix. It will be D matrix 4. Write proper command to show D Matrix. a matrix b matrix 2 6. 4 2 5 2 1 3 1 6 1 2 4 3 2 3 4 6 2 1
1. Suppose the weights (in grams) and lengths (in centimetres) of three groups of laboratory animals are given by matrix A, where column 1 gives the lengths and each row corresponds to one group. 12.5 250 A = 11.8 215 9.8 190 If the increase in both weight and length over the next 2 weeks is 20% for group I, 7% for group II, and 0% for group III, then the increases in the measures during the 2 weeks can be found by computing GA, where 20% G= 0 7% 0% a. What are the increases in respective weights and measures at the end of these 2 weeks? b. Find the matrix that gives the new weights and measures at the end of this period by computing (I + G) A 2. Find the solution with Gauss Jordan System. 1 1. 2| - 1 3 1| 7 1 -2 4| 3. Ace Trucking Company has an order for three products (A, B, and C) for delivery. The table gives the volume in cubic feet, the weight in pounds, and the value for insurance in Rupiah for a unit of each of the products. a. If each truck can carry 8.000 cu ft and 12.400 lb…
5. Perform the row operation R, and replace R, on the following matrix. 50 030 030 7 0 0 3 500 30 0 3 0 7 3 7 0 0 32 3 2
The following leLPP Max Z-SX - 72 6X3 (lundrede of dollars S) X1+ 4X2 23 60 2X1- 2X2 3X3 40 XT• 2X2. 2X3 30 (production capacity: hours) (warehouse capacity: hundrede of sq. ) (demand for 6 or. glassee; undreds of cesos) Basis CB 5X1 7X2 6X3 51 S2 RHS X2 S1 X1 0.6 0.6 10 -1 1 1. 10 0. 10 7. 8.5 7.6 120 C-Z -2.5 -1.5 -2 What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $2.1 ?

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Problem 1: Solve the following assignment problem shown in Table using Hungarian method. The matrix entries are processing time of each man in hours. 1 2 3 4 5 1 20 18 21 17 18 11 15 20 23 18 18 18 12 25 21 16 IV 20 14 27 23 19 A V 25 15 25 20 20