Q.2Find the maximum value ofz = 3x1 + 2x2 + 4x3Objective functionsubject to the constraints3x1 + 2x2 + 5x3< 184x1 + 2x2 + 3x3< 16Constraints2x1 +x2 +X3 2 4where x, 2 0, x2 20, and x3 20.

Name: Q.2Find the maximum value ofz = 3x1 + 2x2 + 4x3Objective functionsubj
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Q.2Find the maximum value ofz = 3x1 + 2x2 + 4x3Objective functionsubject to the constraints3x1 + 2x2 + 5x3< 184x1 + 2x2 + 3x3< 16Constraints2x1 +x2 +X3 2 4where x, 2 0, x2 20, and x3 20.

Given - Max z= 3x1+2x2+4x3+0s1+0s2+0s3-MA1 subject to the constraint 3x1+2x2+5x3+s1<=18…

Answered: Q.2 Find the maximum value of z = 3x1 +…

Math

Statistics

Q.2 Find the maximum value of z = 3x1 + 2x2 + 4x3 Objective function subject to the constraints 3x1 + 2x, + 5x3s 18 4x1 + 2x2 + 3x3<16 2x1 + x2 + x32 4 Constraints where x, 2 0, x, 0, and x, 20.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: subject 12x+4y 2 72 to the constraint 6x+12y 2 96 x20 y 20

Q: Consider the all-integer linear optimization problem below: Max 5X1+8X2 Subject to (s.t) 6X1+5X2=0…

A: The given linear programming problem can be solved in excel as follows: Step 1: Put the data onto…

Q: Solve the linear programming problem by the simplex method. Minimize x + 8y subject to the…

Q: Q3/ Use the graphical method to solve the following LP problem. Minimize Z=-x, + 2x₂ subject to the…

Q: ve the linear Maximize subject to programming problem using the simplex P=6x₁ + 2x₂ - X3 X₁ + X₂ -…

Q: Write a relevant non negative integer value for *K* such that the problem remains feasible and the…

A: Given: Max Z=4x1+3x2 2x1≥12 (1)x1≥6 2x2≥18 (2)x2≥9 3x1+2x2≥K 3

Q: Solve the linear programming problem by the simplex method. Minimize 2x + 8y subject to the…

Q: Let 1, 2, y be decision variables, 91 (1, 2) and 92 (1, 2) linear functions, and b₁ < 100 and b2200…

A: Let be decision varables. and are linear functions. are input parameters.The given constraints…

Q: Min z=-2x1+x2-x3 Subject to constraint 3x1+x2+x3=0 Solve this by simplex method

A: We have to solve the given LPP using simplex method.

Q: What is the constraint for: “Store 1 can only be opened if store 6 is opened.”? X1 + ( _ _ _ ) X6…

A: It's a binary programming problem constraint. Where variable Xi only take two values 0 and 1 X1-X6=0…

Q: Write down the situations in which study of OR(operational-research) become fail.

A: Consider the equation

Q: find the maximum and minimum values of the objective functions given the constraint - (9x + 5y) 4x –…

A: We have to find the maximum and minimum values of the objective functions z1=-9x+5y and z2=9x-9y

Q: . Find the maximum possible value of f = 20x + 30yand the values of x and y that give that value,…

A: Definition used - Maximum possible value - We will graph the given inequalities and…

Q: b. Minimization problem with ≤ constraints only Find the optimal solution of this LP. min z = 4x₁ -…

Q: Glenmont Corporation wants to select 1 project from a set of 4 possible projects. Which of these…

A: As per the information given in the question Glenmont Corporation wants to select 1 project from a…

Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: Maximize subject to the constraints 13x1 x1 P = 10x₁ + 11x₂ + x3 x2 + 10x2 x1 ≥ 0 + 15x3 ≤ 70 7x3 44…

A: Maximize subjected to the constrain

Q: Project 3 can be selected only if both Projects 1 and 2 are selected, but if both Projects 1 and 2…

A: Given that, Project 3 can be selected only if both Projects 1 and 2 are selected, but…

Q: Subject to: P = 12x₁ + 3x2 + x3, 10x1 + 2x2 + 3x3 7x1 + 3x2 + 2x3 2x1 + 4x2 + x3 X1, X2, X3 < 100…

A: We solve by Simplex method.

Q: Form the dual maximization problem (Use x,, X2, and x, as the variables and fas the function.) and…

Q: Solve for X1

A: Given, the objective Function Zi=2X1+X2+3X3Contsraints:…

Q: The following problem is nonconvex because the equality constraint is not affine, and the inequality…

A: As per the question we are given a constrained optimization (minimization) problem having non-convex…

Q: Maximize the objective function 4x+9y subject to the constraints −2x+6y≤96 4x+8y≤168 14x+10y≤336…

Q: Solve the linear programming problem by the simplex (y2 - 2x + 65 method. Minimize 12x+ 4y subject…

A: Given - Solve the linear programming problem by the simplex method. Minimize 12x + 4y subject to the…

Q: Find the maximum possible value of f = 400x +300y and the values of x and y that give that…

A: The given LPP: maximize f=400x+300ysubject to,3x+2y≥62x+y≤7x, y ≥0 Sketch this region and locate…

Q: Find the minimum possible value of g = 60x + 10yand the values of x and y that give that value,…

A: The given LPP: minimize: g=60x+10ysubject to3x+2y≥122x+y≥7x≥0, y≥0 Sketch this region and locate…

Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: Please see the attachment

Q: For all allowed values of the parameters, find all global maxima of the following maximization…

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: 2. Consider the following set of constraints: x, + 2x, + 2x, 2x, - x, + x, + 2x, 5 8 4x, - 2x, + x,…

A: (a) After introducing slack variables we have Max Z = 3x1-x2+3x3+4x4+0S1+0S2+0S3subjected…

Q: subject to 4x₁ + 3x₂ ≥9 3x₁ + 9x2 25 X₁, X₂ 20 subject to 4 y₁+3y2 ≤7 3 y₁ +9y2 ≤ 5 Y₁, Y220 b.…

A: Solution : Given linear programming problem Minimize C=7 x1+5 x2Subject to 4x1+3x2 ≥ 9…

Q: minimum of the function z=-2x1+x2 under the constraints system {3x1-2x2≤12 -x1+2x2≤8 2x1+3x2≥6 x1,…

A: To minimum of the function under the constraints system.

Q: Minimize Z=-x₂ + 2x₂ subject to the constraints and (1-x₂ + 3x₂ ≤9 x.x₂ 20. (11) x₂ + x₂ ≤ 6. (11)…

Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Topic Video

Question

Q.2
Find the maximum value of
z = 3x1 + 2x2 + 4x3
Objective function
subject to the constraints
3x1 + 2x2 + 5x3< 18
4x1 + 2x2 + 3x3< 16
Constraints
2x1 +
x2 +
X3 2 4
where x, 2 0, x2 20, and x3 20.

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 6

Step 7

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

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

Similar questions

A LP model is given as Max z = 3x1+ 2x2 Subj to 2x1 + 2x2 0 Obtain the dual of the model. Use the variables y1, Y2, Y3, · . . Objective function: Min w= Constraint 1: Constraint 2: With: >0
What is the constraint represented by the line that starts from the origin and goes through point G O 2x1 + x2 0
Example 12.5. Find the maximum value of Z = 2x + 3y subject to the constraints: x + y ≤ 30, y ≥ 3,0 ≤ y ≤ 12, x-y≥0, and 0≤x≤ 20.
I have already asked this question. The answer given to me was wrong. Please don't provide me privious answer. Thanks
Consider the problemMaximize z = x1 + 5x2 + 3x3subject tox1 + 2x2 + x3 = 62x1 - x2 = 8x1, x2, x3 >= 0The variable x3 plays the role of a slack. Thus, no artificial variable is needed in the firstconstraint. In the second constraint, an artificial variable, R, is needed. Solve the problemusing x3 and R as the starting variables.
Needed to be solved correctly in 1 hour and get the thumbs up please show neat and clean work for it by hand solution needed Kindly solve ? percent correct by Hand please
Apply the procedure for tightening constraints to the following constraint for a pure BIP problem: 2x₁ + 4x₂ - 6x3 ≤ 3
QUESTION 15 Calculate the minimum value of 8x + 6y subject to the following constraints: |x + y 2 24 x + 2y 2 29 2x + y 2 28 x 20 y 2 0
Minimize 3x + 5y + z subject to the constraints x + y + z> 20 y + 2z > 10 x20, y>0, z2 0.