A) Solve the following LP problem using Simplex Method B) Specify the special case in this problem and explain its reason. C) Specify the special case using Graphical solution method and explain its reason. Z max = 3x1 + 2x2 Constraints: 2x1+ x252 3x1 + 4x2 2 12

A) Solve the following LP problem using Simplex Method B) Specify the special case in this problem and explain its reason. C) Specify the special case using Graphical solution method and explain its reason. Z max = 3x1 + 2x2 Constraints: 2x1+ x252 3x1 + 4x2 2 12

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.3: Systems Of Inequalities

Problem 13E

See similar textbooks

Related questions

Q: Solve the problem Max (min) 3x² + 2y² +2² subject to the constraints z² = x² + y² and x-2z = 3

Q: 1. Solve the linear programming problem using graphical method and find the maximum and minimum…

Q: Solve the following LP using the simplex method. Maximize z = 4x1+3x2+6x3 subject to 3x1+x2+3x3 0

A: Given that Maximize z=4x1+3x2+6x3 subject to 3x1+x2+3x3≤302x1+2x2+3x3≤40 x1,x2,x3≥0

Q: Solve the following LPP using the simplex / Big M Method Maximize Z= 6X1+8X2 Subject to constraints…

A: We have to find solution by Simplex Method of given LPP.

Q: Consider the following problem: Maximize Z= 2x1 - x2 + X3, subject to x2+ 3x3 0, X3 2 0. Work…

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski…

A: According to the given information, Let x be the number of trick skis and y be the number of slalom…

Q: 1. Determine the optimum solution by applying simplex method and graphical method showing the…

Q: Solve the following problem by using the Simplex approach: Maximize Z = 4X1…

Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

Q: 6. Solve the problem below using the simplex method. Minimize C = 9x1+ 2x2 subject to 4.x1 + x2 > 13…

A: Since, constraints have greater than equal to sign, so, adding -ive slack variables s1 and s2 in…

Q: Use the simplex method (in tabular form) to solve the following problem Maximize: Z=5x,+9x2+X3…

Q: Use the Dual simplex method to solve the following problem and verify the solution by the graphical…

Q: Use the simplex method to solve the following maximum problem: P = 4x1 + 5x2 Maximize: Subject to…

Q: Solve the following linear program using the simplex method. Explain each simplex pivot by showing a…

A: Given LPP is, Max Z=x1+x2Subject to, x1+2x2≤14 2x1+x2≤16 x1≤7…

Q: For problems where you solve an LP using a version of the simplex method, you can use Vanderbei's…

Q: Solve the following LP problem graphically. Then set up a simplex tableau and solve the pro blem…

Q: Q3 Solve the following linear programing problem by using the Simplex method: Maximize n= 4x + 3y x…

Q: Consider the problem below and solve it using the Dual Simplex method. Maximize Z = -2x1 + 4x2 - X3…

A: Given that maximize Z=-2x1 +4x2 -x3subject to4x1-x2-5x3≤ 222x1+3x2+2x3=12x1≥0, x2, x3 is URS…

Q: Find the optimal value of the objective function for the LP problem (without using simplex method to…

Q: (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the…

A: Given : A problem Maximize P=9x1+7x2 subject to the constraintsx1+x2≥2-x1+3x2≤20 andx1,x2≥0 To find…

Q: Use the simplex method to solve the following maximum problem: Maximize: p=x1+2x2 Subject to…

Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

A: Given Simplex Tabuleau is, x1 x2 x3 s1 s2 z 6 -2 2 0 1 0 24 3 -4 1 1 0 0 16 7 1 2 0 0 1…

Q: Solve the following problems as a primal using simplex method and then after finding its dual.…

Q: 1. Max z = 2x, + X,+ 2x3 Subject to 4x + 3x2 + 8xs 12 4x, + X+ 12x,s 8 4x- X2+ 3x5 8 X1, X2, Xg 20…

A: Solve above the LPP According to the bartleby guidelines I have to solve only first question in…

Q: Consider the problem of maximizing the algebraic expression q given by q = V6 – (x + 2)² – y² -…

A: Given that: q=6−x+22−y2 Constraint: x2−y2−4y−8=0

Q: Solve the following by inspection (using graph), and justify the method of solution in terms of the…

A: Given that, Maximize z=5x1-6x2+3x3-5x4+12x5 Subject to x1+3x2+5x3+6x4+3x5≤90x1,x2,x3,x4,x5≥0

Q: Use the simplex method to find a basic feasible solutic subject to the following constraints: -4x +…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: Solve the following LPP using simplex method: Maximize Z = 10 x1 + X2 + 2x3 Subject to the…

Q: For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic…

A: Given- The simplex tableau To find- List the basic and nonbasic variables. Find the basic…

Q: Solve the maximization problem using the simplex method: HHAximixe: : 5 +2r, subject to: 6z +…

Q: Q1.B/ - Fill in the blanks with appropriate word: 1- In a Simplex table, the pivot row is computed…

A: Steps to be followed in simplex method: First, write the objective function and inequality…

Q: Use the simplex method to find out the maximum value of the objective function, z-2x+3x+4x subject…

A: the objective function is Max Z=2x1+3x2+4x3 subject to…

Q: The following tableau is optimal but infeasible. Follow the dual simplex method to cover feasibility…

A: Given : simplex tableau that is optimal but infeasible Basic x1 x2 x3 x4 x5 x7 Solution…

Q: 9. How should the constraint, 3X + 2Y 2 9 as equation #1, be converted into ?simplex (2 marks)…

A: Given: The constraint 3X+2Y≥9 To determine: The equation that the given constraint should be…

Q: Use the simplex method to solve the problem Z-2x1-4x2 Maximize X1x220 5x1+3x2 2 75 X1.x2 20 subject…

A: Given maximization problem is,

Q: Use the simplex method to solve the following maximum problem: Maximize: P 6x1 + 19x2 Subject to the…

Q: Use the simplex method to solve the problem. Maximize Z= 2x, - 8x2 subject to X1 +X2 $24 5x, +3x2 2…

A: Consider the given problem.

Q: Use the simplex method to find the optimal solution. Assume all variables are nonnegative.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: What difficulties one might encounter with this approach?

A: Given: It is given that,"When deleting a basic variable xBr from the simplex tableau, would it be…

Q: The Z row of a simplex tableau gives: Select one: a. the maximal value a variable can take on and…

A: The z row of simplex tableau gives the net profit or loss that will result from introducing one unit…

Q: For the following simplex tableau (a) Compute the next pivot element. (b) Determine the next…

A: Given,

Q: Minimize 2x2 + 2y2, subject to the constraint 108- 3x-3y 0.

Q: Solve the following optimization problem using the simplex method: Maximum z = 10x, + 11x2 + 9x3…

A: The following steps are used to find the solution of the linear programming problem by simplex…

Q: Find the optimal solution for (L.P) model using Simplex Method' Max. Z = 2xl- x2 +2x3 Subject to:…

Q: Use the Dual simplex method to solve the following problem and verify the solution by the graphical…

A: In order to apply the dual simplex method, we convert Min Z to Max Z and all ≥ constraint to ≤…

Q: Use the Dual simplex method to solve the following problem and verify the solution by the graphical…

Q: ind the optimal Solution by - Simplex method (BigM met IAX Z 11xl 10x2 + 4x3 ubject to xl + 5x2 +…

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Question

A) Solve the following LP problem using Simplex Method
B) Specify the special case in this problem and explain its reason.
C) Specify the special case using Graphical solution method and explain its reason.
Z max = 3x1+ 2x2
Constraints:
2x1+ x252
3x1+ 4x2 2 12
Sign restriction:
X1 20 x220

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ring$

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

Solve the following LP problem using simplex method:
Solve the following LPP using the simplex / Big M Method Maximize Z= 6X1+8X2 Subject to constraints 2X1+5X2 ≤ 40....................(i) 8X1+4X2 ≤ 80 ...................(ii) where X1 , X2 ≥ 0
Solve the following problem by using the Simplex approach: Maximize Z = 4X1 – 6X2 Subject to: 3X1 + 2X2 > 6 2X1 + X2 < 2 3X1 – 2X2 < 4 all variables > 0
Farmer S. Unkist has a fruit grove consisting of lemons, bananas, and watermelons along a straight moat. To prevent thieves from stealing his fruit while at the same time make sure the fruit do not mix before they are processed, he plans to fence in each fruit plot using identical rectangular enclosures. The side along the moat needs no fence because the moat is infested with man eating crocodiles as shown below. If he has 1200 yards of fence, what should be the dimensions of each enclosure if the total area of the grove is to be maximized? PLEASE USE CALCULUS TECHNIQUES TO OBTAIN YOUR ANSWER AND SHOW ALL WORK.
Use the simplex method and the Duality Principle to solve the following minimum problem:
When problem become unrestricted after changing primal to dual simplex method . Justify your statement with vid example
Solve the following problem using the simplex method: Maximize: z=2x+3y table row cell 2 x minus y less or equal than 5 end cell row cell x plus y less or equal than 6 end cell row cell x greater or equal than 0 comma space y greater or equal than 0 end cell end table
Solve the following LPP by the graphical method. minimize 20x1+10x2subject to x1 + 2x2 ≤40,3x1 + x2 ≥30,4x1 + 3x2 ≥60,x1, x2 ≥0