Min x1 + x2 – 4x3 Subject to X1 +x2 + 2x3 < 9 X1 + X2 – X3 < 2 - X1 + X2 + X3 < 4 X1, X2 ,X3 2 0 The optimal tableau for this problem is given; X1 X2 X3 X4 X5 X6 RHS 1 -4 -1 -2 -17 1 -1/3 1/3 -2/3 1/3 X1 X5 2 1 1 X3 2/3 1/3 1/3 13/3 a. Suppose that c2 =1 is replaced by -5. What happens to tableau? Is it still optimal? X2 is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable? b. Suppose that c3=-4 is replaced by 0. What happens to tableau? Is it still optimal? Xạ is a basic variable. What happens if we change the coefficient of a basic variable? c. Suppose that the right hand side which is 2) is replaced by 4 ). What is the new values of variables? d. Suppose that a, is changed from ( 1) to ( 2 ). What is new y', in the tableau and what is the reduced cost of x2 now? (€) e. Suppose a new activity x, 2 0 having c, = –2 and a,= is introduced. What happens to tableau? Is it still optimal?

Min x1 + x2 – 4x3 Subject to X1 +x2 + 2x3 < 9 X1 + X2 – X3 < 2 - X1 + X2 + X3 < 4 X1, X2 ,X3 2 0 The optimal tableau for this problem is given; X1 X2 X3 X4 X5 X6 RHS 1 -4 -1 -2 -17 1 -1/3 1/3 -2/3 1/3 X1 X5 2 1 1 X3 2/3 1/3 1/3 13/3 a. Suppose that c2 =1 is replaced by -5. What happens to tableau? Is it still optimal? X2 is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable? b. Suppose that c3=-4 is replaced by 0. What happens to tableau? Is it still optimal? Xạ is a basic variable. What happens if we change the coefficient of a basic variable? c. Suppose that the right hand side which is 2) is replaced by 4 ). What is the new values of variables? d. Suppose that a, is changed from ( 1) to ( 2 ). What is new y', in the tableau and what is the reduced cost of x2 now? (€) e. Suppose a new activity x, 2 0 having c, = –2 and a,= is introduced. What happens to tableau? Is it still optimal?

Name: Min x1 + x2 - 4x3Subject toX1 + X2 + 2x3 < 9X1 + x2 – X3 < 2- X1 + X2
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Min x1 + x2 - 4x3Subject toX1 + X2 + 2x3 < 9X1 + x2 – X3 < 2- X1 + X2 + X3 < 4X1, X2 , X3 20The optimal tableau for this problem is given;X1X2X3X4X5X6RHS1-4-1-2-17-1/31/3-2/31/3X1X51Ex2/31/31/313/3a. Suppose that c2 =1 is replaced by -5. What happen

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 4x + 3 x+2 4x - 5 x-4 12 x² - 2x - 8

Q: (3x - 2y)(2x + 5y) (4x - 5)(4x + 5) (2x - 5y)(x - 3y) (3x - 7)(3x + 7) : 10x? - 11x - 6 6x + 5x - 6…

A: We apply algebraic multiplication of variables and constant Formulas (a+b)(a-b) = a^2 -b^2…

Q: x² + y2 +30x10y +249 = 0 O(x+15)² + (y-5)² = 49 O(x+15)² + (y- 5)² = 1 O(x+15)² + (y- 5)² = 9…

A: We use completing square method

Q: Vhạt is the end behavior of each of the followin 1) y = :-4x + 2x? + 7 2. y = 2x - 3x + 4 3. y = -x3…

A: As per guideline we have to solve only 3 subparts

Q: X-10 3. X-2

A: Given: x-10x-2≥-3 for solving given inequality, we do transportation and simplify it

Q: actor each polynomial. 1. x2 2-14x + 49 2. x2 +2x + 1 3. x2 +7x + 14 (x-1) x2+ 18x + 81 5. y2-20y+…

A: Consider the polynomial x2 + 7x + 14 The above polynomial could not factor further since it has no…

Q: What is the end behavior of each of the following 1. y = -4x3 + 2x? + 7 y = 2x - 3x + 4 y = -x3 +…

Q: x² + 2x³ - 11x² - 12x

Q: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on…

Q: 23x-6-18x+3 = 19x -3-14x+17 is x =

A: On both sides rearrange terms and combine like terms.

Q: what is the vertex of V(x) = 325x2 – 4600x + 145000

Q: Mx) = * - 4x² + 2 f(x)

A: Topic:- Functions Correct option = A

Q: If p = 4x³ + x² + 2x + 5 and q = 6x³ + 3x² + x + 2 Find ||p|| and ||q||

Q: 4. -9x+20 differnce of Squares ACTOR BY GI

Q: The city will pay to have soft pavement made of recycled tires installed in the playground. In the…

A: x=longer side y=x-15=shorter side and the area is A=324 the area of the rectangle is given by…

Q: x1 – 2x2 – 4x3 = -4 -x1 + 3x2 + 6x3 = 5 -3x1 + 6x2 + 13x3 12 xi = Ex: 42 : x2 = Ex: 42 : X3 = Ex: 42

A: System of non homogenous equation problem....

Q: 5(x-3)-7x > 4(x-3)+9

A: Given:

Q: 7x-2(3-2x) = 7x-2(3)-2(2x) = 7x-6-4x = 3x-6

A: The expression 7x - 2(3-2x).

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Min x1 + x2 - 4x3
Subject to
X1 + X2 + 2x3 < 9
X1 + x2 – X3 < 2
- X1 + X2 + X3 < 4
X1, X2 , X3 20
The optimal tableau for this problem is given;
X1
X2
X3
X4
X5
X6
RHS
1
-4
-1
-2
-17
-1/3
1/3
-2/3
1/3
X1
X5
1
Ex
2/3
1/3
1/3
13/3
a. Suppose that c2 =1 is replaced by -5. What happens to tableau? Is it still optimal?
X2 is a nonbasic variable. What happens if we change the coefficient of a nonbasic variable?
b. Suppose that c3=-4 is replaced by 0. What happens to tableau? Is it still optimal?
Xạ is a basic variable. What happens if we change the coefficient of a basic variable?
c. Suppose that the right hand side which is 2) is replaced by 4 ). What is the new values of variables?
. 5
d. Suppose that a, is changed from
) to ( 2). What is new y' in the tableau and what is the reduced
cost of x2 now?
e. Suppose a new activity x, 2 0 having c, = –2 and a,(
is introduced. What happens to tableau? Is
it still optimal?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

5x +5 x-1 + 14. (x+3)(x-4) = 6x (x+3)
Indicate the least integer n for which (3x+2x²)(x³ +3x) x+14x € 0(x¹).
Which one of the following systems is corresponding to the augmented matrix below? 2 4 -6 -3 1 -2 1 0 1 3 1 2 3. X+4x2 +5x - 6x5 + X, =-2 -3x + X; - 2x3 + X4 + Xã = 0 X+3x, +x., + 2x - x = 3 a) 2x +4x 5x - 6x x = -2 3x + x + 5x. - 6x. + x = 0.
(m) 2 x+2 + x+3 x² + 2x 12 x³ - 4x
What is the end behavior of each of the following 1. y = -4x3 + 2x? + 7 2. y = 2x - 3x* + 4 3. y = -x³ + 2x5 – 1 4. y =Ox (x - 7)(x + 5)* (55 y = x(x + 1)(x - 8)