b) Consider the following linear program:Maximize: z=x. + 3x. + 2x + 2x.subject to: x + 2x. +x. + 3x. + x.+ X.+X= 6-2х +x + 3х.= 6-х. +х + 2х.with: all variables nonnegativeii)Give an example of variables which can not form a set of basic variables togethe:.Give reasons.iii)Write one degenerate basic feasible solution.I||| |

Name: b) Consider the following linear program:Maximize: z=x. + 3x. + 2x +
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: b) Consider the following linear program:Maximize: z=x. + 3x. + 2x + 2x.subject to: x + 2x. +x. + 3x. + x.+ X.+X= 6-2х +x + 3х.= 6-х. +х + 2х.with: all variables nonnegativeii)Give an example of variables which can not form a set of basic variables

Given linear programming problem is where all variables are non- negative.

Math

Advanced Math

b) Consider the following linear program: Maximize: z=x. + 3x. + 2x. + 2x. subject to: x + 2x. + x, + 3x. + x. -2х +х, + 3x. + X. -х. +х. + 2х with: all variables nonnegative +x - 4 Give an example of variables which can not form a set of basic variables togethe. . Give reasons. Write one degenerate basic feasible solution. iii) 699

b) Consider the following linear program: Maximize: z=x. + 3x. + 2x. + 2x. subject to: x + 2x. + x, + 3x. + x. -2х +х, + 3x. + X. -х. +х. + 2х with: all variables nonnegative +x - 4 Give an example of variables which can not form a set of basic variables togethe. . Give reasons. Write one degenerate basic feasible solution. iii) 699

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 33E

See similar textbooks

Related questions

Q: a)Would profit be maximized if the objective function y=50x+40xM+20x, was assumed (under the same…

A: Linear Programming Problem LPP in operations research is used to obtain the optimum value (i.e., it…

Q: The demand for motorcycle tires imported by Dixie Import-Export is 31,000/year and may be assumed to…

A: Given that, The demand for motorcycle tires imported by Dixie Import-Export is 31,000/year and may…

Q: How is the shortest-path problem a special type of linear programming problem?

A: According to the question, we have to explain the shortest path problem which is a special type of…

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

Q: For this linear programming problem, formulate the linear programming model. Then, find the optimal…

A: Let us take the number of Halimuyak ounces sold as x and the number of Sweet smell ounces sold as y.…

Q: Maximize the function p = -x+y over the following constraints: a) x+y>=4, x>=0, y>=0, -x+2y<=2,…

Q: Use the simplex method to solve the linear programming problem. z= 700x, + 600x, + 100x3 X, + X2 +…

Q: Solve the following linear programming problem. Maximize: z= 4x + 5y subject to: 5x+4ys 20 8x + ys…

Q: A manufacturer supplies refrigerators to two stores, A and B. The manager esti- mates that if x…

Q: Determine whether x'= (,, ) is an optimal solution to the following linear program: 31 maximise 9x1…

A: Primal is MAX Zx = 9 x1 + 12 x2 + 7 x3 subject to 3 x1 + 3 x2 + x3 ≤ 4…

Q: Find the number of slacks variables needed and use slack variables to convert each constraint into a…

Q: manufacturing company produces two models of an HDTV per week, x units of model A and y units of…

Q: Maximize the objective function subject to the constraints 4x + y ≤ 56, 5x + 4y ≤ 92, x ≥ 0, and y…

A: These feasible region is shaded

Q: use graphical methods to solve the linear programming problem. Minimize z = 4x +5y subject to 2x-4y…

A: The given problem is to solve the linear programming problem over the given constraints by using…

Q: Solve the linear programming problem by sketching the region and labeling the vertices, deciding…

Q: 15 X6 0. X3 X5 -5 01 15 1 -1 x M= 10 %3D 01 -1 0. 1 0. 10 0. -1 1. -1

A: Step:-1 given table is M = x1 x2 x3 x4 x5 x6 Min. Ratio -5 0 0 1* 0 0 0 x1 15 1 1 1…

Q: Use the method to the given constraint. maximise the Maximize the function & (or, y) = x+ 5y²…

A: Given function is f(x,y)=x+5y-2xy-x2-2y2 Given constraint is 2x+y=4 To Maximize the given function…

Q: Solve the following linear programming problem. Maximize: z= 10x + 12y subject to: 3x + 8y < 24 10x…

Q: 4. Tom's company needs to hire at least 20 workers. Some of them are working in Factory I for…

A: Note: According to Barleby guidelines for more than one question asked; only the first one is to be…

Q: Q1: The J Company manufactures two products, J1 and J2. Each J1 sold contributes Rs 60 and each J2…

Q: Suppose Texas, California, and Alaska each produce a million barrels of oil. 800,000 barrels are…

A: Let x, y, z, be barrels transported to chicago from Texas, California and Alaska u,v,w be the…

Q: Solve the following linear programming model graphically: Maximize Z=6.5x1+10x2 Subject to:…

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical Pand r…

Q: Consider this linear program: Maximise {x}, subject to the constraints:

A: Let Max(Z)=x Sunbject to constraints: -x+y≤1 x+y≤4…

Q: 2. Give the linear programming represented by the model Maximize z = 3x1 + 2x2 + X3 subject to: 4x1…

A: We have to maximize the function, I am going to solve this by simplex method.

Q: Suppose an organisation is manufacturing two products P¡and P2. The profit per tonne of the two…

A: Given that Profit/tonne Product 1 Rs. 50 Product 2 Rs. 60 Total available Machine hours/ weeks…

Q: b) Consider the following linear program: Maximize: z =x. + 3x. + 2x. + 2x. subject to: x. + 2x. + x…

A: Given linear programming problem is

Q: Solve the following linear programming model graphically: minimize Z = 5x + x, subject to 3x + 4x, =…

Q: For the given maximization problem, (a) determine the number of slack variables needed, (b) name…

A: A maximization problem is given. We need to find number of slack variable and name them. Also, we…

Q: The estimated monthly profit (in dollars) realizable by Cannon Precision Instruments for…

A: given that P(x)=-0.02x2+92x-109000

Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: 4. Tom s company needs to hire at least 20 workers Some of them are working in Factory I for…

A: sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want…

Q: Solve the following linear programming problem. Maximize: z=15x + 7y subject to: 4x+7ys28 10x + ys…

Q: Write the e-system obtained via slack variables for the given linear programming problem. Maximize…

Q: A toy manufacturer make bikes, for a profit of $12, and wagons, for a profit of $10. To produce a…

Q: Solve the linear program Maximize p = 3x+ 2y Subject to: 3x + y 0

A: Maximize p=3x+2y Subject to: 3x+y≤30x+y≤12x+3y≤30x≥0, y≥0 Now the graph is,

Q: linear programming problem is plotted as a line in which quadrant

A: Each constraints of graphical linear programming problem is plotted in First quadrant

Q: A company manufactures two products. If it charges price p1 for product 1 and price p2 for product…

Q: A division Of the Winston furniture company manufactures dining tables and chairs. Each table…

Q: Find the values of x, y that maximize 7. - 2x? - 2xy - +x+ 9y 13 subject to the constraint x+ y -…

A: The solution of the problem is given in the next step.

Q: Calculate the minimum value of 9x + 5y subject to the following constraints: x +y2 20 x + 2y 2 26 2x…

A: Find the minimum value of 9x+5y subject to the constraints, x+y≥20x+2y≥262x+y≥29x≥0y≥0 as follows.…

Q: Maximize : 12x + 10y Subject to: 4x+ 3y ≤ 480 2x + 3y ≤ 360 x , y…

Q: Solve the given linear program by graphical method. Maximize: P = 5x + 8y Subject to: x + (3/2)y…

Q: Solve the following linear programming by graphical method cllearly showing all the x and y…

A: Given Objective function is Z=400x+600y constraints are…

Q: 4. Consider the following set of constraints : X1 + 2x2 + 2x3 + 4x4 0 Solve the problem for…

A: Given Max Z=2x1+x2-3x3+5x4subject to constrints x1+2x2+2x3+4x4≤402x1-x2+x3+2x4≤8 4x1-2x2+x3-x4≤10…

Q: A peanut company sells a mixture of two types of beans. The cheapest mixture contains 80% lean…

A: (a) Let x represents the quantity (in kg) of cheapest mixture and y represents the quantity (in kg)…

Q: For the given maximzation problem, (a) determine the number of slack variables needed, (b) name…

A: Consider the maximization problem Maximize z=9x1+3x2+x3 subject to…

Q: Follow the steps in the diagram "Simplex Method Summarized" in Section 6-2 in the textbook to…

Q: Find the values of x, y, and z that maximize xyz subject to the constraint 1344 - x- 16y - 7z = 0.

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

Topic Video

Question

b) Consider the following linear program:
Maximize: z=x. + 3x. + 2x + 2x.
subject to: x + 2x. +x. + 3x. + x.
+ X.
+X
= 6
-2х +x + 3х.
= 6
-х. +х + 2х.
with: all variables nonnegative
ii)
Give an example of variables which can not form a set of basic variables togethe:.
Give reasons.
iii)
Write one degenerate basic feasible solution.
I||| |

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

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, advanced-math and related others by exploring similar questions and additional content below.

Recommended textbooks for you

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning