Use the Simplex method to solve this problem when a = 1. Hint: does the LPP havean optimal solution in this case? Consider the following LPP:maximizesubject toax₁ + 1x₂−X1 + X2 ≤ 21215x1 + x₂ ≤ 3x1,x2₂0

Answered: Image /qna-images/answer/dc73c1f3-3746-4baa-aeb3-2f2e638b5c92.jpg

Answered: Consider the following LPP: maximize…

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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Q8: Sarah is about to take a math test that contains short answer questions worth 4 points each and word problems worth 7 points each. She is required to do at least 5 short answer problems, but no more than 10. She must do at least 3 word problems, but no more than 10. She is required to do at least 9 problems of types, but no more than 18. Formulate this problem to maximize her score.
Minimize z = 24X1 + 28X2 subject to 5X1 + 4X2 <= 2,000 X1 + X2 >= 300 X1 >= 100 X1, X2 >=0 Solve the above problem with the simplex method. Provide the value of the basic variables(BV) at tableau #3 and the optimal solution of the LP. Notes: Set M = 100. Tableau #1 is the initial tableau where an inconsistency exists on row z. Tableau #2 is the tableau where the inconsistency on row z is fixed. Set s1 as the slack variable for constraint 1
- V:or 1%AT h. N Q3 L-7.pdf Use the simplex method to find the maximum value of : = 2x, - x, + 2r, Objective funetion subject to the constraints s 10 2x, + x2 X + 2r, - 2x, s 20 X + 2x, s 5 where x, 2 0, x, 2 0, and x, 2 0. 1- Design the below table to solution the problem ? C, В.С В.V X, X2 X3 S1 S2 S3 RHS Ratio S1 1 1 10 S2 1 2 -2 20 S3 1 1 Z=EX,*BC, Z-C, 2-Choose the entering variable? Why? 3-Obtained (by Gauss Jordan elimination) the departing variable row? Why? 1. 2.
Mail 4. A colleague approaches you with the following simplex tableau: Mar 10, 2022, 8:58 AM Inbox 275 MI hospital all of Monday, Feb t Starred 0 72 0 60 1 4 Snoozed 5 1 0 0 Sent 1 1 1 1 0 22 3 -2 0 -4 1 140 r 19, 2022, 6:43 PM - Chat (a) tableau. Write down these variables, and give their values. Your colleague does not remember which variables to list in the first column of the ons! If we were to solve this problem using the simplex method, what would be the (b) next pivot element? Justify your answer No conversations Start a chat
SIMPLEX METHOD Min C = 3X1 + 7X2 + 5X3 Subject to: X1 + X2 + X3 ≥ 50 2X1 + 3X2 + X3 > 100 X1, X2, X3 ≥ 0 8. What is the pivot element/number? a. 2/3 b. 1/3 c. 1
Please answer all three parts (a,b,c)

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Consider the following LPP: maximize subject to ax1 + 1x2 -x₁ + x₂ <2 1 2 x1 + x₂ ≤ 3 1+2 X1, X2 ≥ 0