Suppose a e R for which the Jacobi iterative method converges Vxto the solution of the following linear system2 axa 2 x,then(C)-2

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Answered: Suppose a e R for which the Jacobi…

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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Solve this LP max z = 3x1 + 2x2 +2.5x3 8.t. x1 + x2 + 2x3 201 +203 1, 2, 3 > 0 has optimal tableau So B= <4 <6 = Z 21 X2 1 0 0 0 0 0 1 T3 C3 1 ā13 0 ā23 82 ₂ 1/2 1 0 ā 13 ā23 5₁ ; 5₂ = [ and the optimal solution for zis z = Now find the maximum amount A that the optimal BV remains optimal. 81 -188--18:3 and = and using B-¹ and Bcy formulas the missing values in optimal tableau are €3=0; €₂=0; rhs IN L -1/2 by 1/2 ba and cgy -[00] that the value of c3 can be increased so
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A local coffee shop in its busy period gets about 10 customers per minute. A typical serverworking at the counter can help customers at a rate of 2 per minute. 4(a). What is the minimum number of servers the shop needs to have to make this astable system, i.e. rho < 1? 4(b). We will assume that the server’s rate of service stays constant. However, therate at which customers come in might fluctuate. Consider customer arrival rates rangingfrom 8 per minute to 12 per minute. Conduct a sensitivity analysis on the number ofservers the shop should have during its busy period. Range the number of servers fromyour answer in 4(a) up to 5 more (that is, if you said x in (a), let c = x, x+1,…,x+5) Create simultaneous line plots similar to what was done in the M/M/c practice for thevalues of R0. Plot the c values on the x-axis and create a separate line plot for each value oflambda(customer arrival rate). Give the appropriate titles and labels and include a legend. Make sure each graph is clear…
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Suppose a e R for which the Jacobi iterative method converges Vx to the solution of the following linear system 2 a a 2 x, then (C)-2