roduction To Management Science-20202ST204-20202 / General / Assignment 1 (5%)Use simplex method to solve the following systemМаxіmizе Р — 0.5х + Зу + ZSubject tox + y + z < 402x + y – z < 10-y < 10Maximum file size: 10OMB, maximum number of files: 1FilesllTOSHIBA

I am substituting x=x1 , y=x2 and z=x3 and then solving the problem.

Answered: Use simplex method to solve the…

Use simplex method to solve the following system Махітizе Р — 0.5х + Зу + Z Subject to x +y + z < 40 2x + y – z < 10 FyS 10

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.2: Systems Of Linear Equations In Two Variables

Problem 41E

See similar textbooks

Related questions

Q: Q4/Compare between Jacobi method and Gauss-Seidel method to solve the system, X) -0 , - 10- 5x, + x,…

Q: solve the system of Using Gramer's Rule: linear equabions 2X, + 4 X3 -2 = o X2 + 4 X3 = 6 X, + X2 =…

Q: 4. Determine the solution for the system of linear equations below using any method applicable: x +…

Q: Solve the following system 2x₁6x₂x3 = -38 -3x₁ - x₂ + 7x3 = 34 -8x1 + x₂ - 2x3 = 20 using the Jacobi…

A: Given system is 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20 We can write it as x1=-1820-x2+2x3…

Q: Solve the following system of equetions using Geuss Jorden Eliminetion method. x- 4y - 2z - v - 2w +…

A: Given that x-4y-2z-v-2w+2u-5k+5t =10x-3y+2z-v+4w =33x+5y -v…

Q: 1) Solve the following system using the inverso natriy method: 2x, - X2 = 0 3xz = -5

A: Solve using the concept of inverse matrix

Q: Solve the following LPP using Simplex method. Max P = 12X + 16Y Subject to: 10x…

Q: Solve by Gauss-elimination: 3x+4y+5z =18, 2x- y+8z =13, 5x-2y +7z =20

A: 3x + 4y + 5z = 18 — (i)2x - y + 8z = 13 —ii5x - 2y + 72 = 20 —iii3x + 4y + 5z = 18 — (i)2x - y + 8z…

Q: Solve the following system of liniar equation by gauss-Jordan method.

A: The given system of linear equations is as follows. The augmented matrix for the given system of…

Q: Q2\ Use Gramer's rule to solve the following system: * x + y- 2z = 3 3x – y + z = 5 3x + 3y - 6z = 9…

A: We can only use Cramers rule only when determinant of A is nonzero.

Q: 1. By using Undetermined Coeffīcients method find the solution of the system : 21 X+ 21t X' = 1 5

A: We need to solve the given system of differential equations using undetermined coefficient method.…

Q: Solve the linearsystem by GE method X- 2y + 3z =9 --x + 3y = -4 2x 5y + 5z = 17

A: This is the correct answer, verified multiple times.

Q: Find a solution to the system 3 1 [+] 0-690 = by solving the IVP with initial condition x(t) = -4…

A: Solution

Q: Solve a system using the Kramer method 2x + 3y -z = 5 4x + 4y - 3z = 3 -2x+3y-z = 1

Q: 1 X' 1 1 0 ]X + \te³"

Q: Find the solution to the following system of linear equations using any method. Give your answer as…

A: We solve given system of linear equations by using Inverse Matrix Method.

Q: Find the approximation to the solution of the system fi(x1, 12) =rỉ + 11L2 – 10 = 0, f2(x1, x2) =x2…

A: Given - f1x1, x2 = x12 + x1x2 - 10 = 0f2x1, x2 = x2 + 3x1x22 - 57 = 0 start with x0 = 00.6 To find -…

Q: 8. X + te' X' 1

A: In the given problem ,X'=181-1X+e-ttet

Q: 2.5OLVE BY GAUSS ELIMINATION METHOD 2x - Y+ 32 =-3 3X +3Y - Z= 10 X- Y + Z = 4

Q: It is required to solve the System of eduations using the Cram & method L 3x + y = 8 4x +32 2 X-5-Z…

A: Given system of equations, 3x+y=84y+3z=2x-5=-z We have to solve the given system of equations using…

Q: 2- Use the inversion method to solve the following system: x+3y+3z=1 x+4y+3z=0 x+3y+4z=-1

Q: Find the optimal solution. MAX Z=6X+7Y st 4X+5Y≤20 10X+7Y≤35 3X+4Y≥6 X ≥0 , Y ≥0 and an…

Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 1. Use any direct method…

A: As per the policy of bartleby the provisions is to solve only one question at a time now I am…

Q: Solve the system by Gauss-Jordan Reduction method: 7x — у + 8z 3D 10 x + 4y + 5z = 2 -5x + 2y + 8z =…

A: Given system of equation.7x-y+8z=10x+4y+5z=2-5x+2y+8z=3Write in matrix…

Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 1. Use any direct method…

Q: 3.х + у +z-5 2х + Зу + 5z %3 8 4х + 5z %3D 2

Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9er X' = -4 X + %3D

A: Given equation is, X'=1-441X+4t+9e6t-t+e6t The given equation is in the form of , x'=Ax+f(t)Where…

Q: GIVEN: [X1] X2 0 1 - -2 -3 2 X3 -3 3 2 X4. Determine the least-norm solution. Please show a complete…

A: Consider the given information. 201-1-2-320-3302x1x2x3x4=-102 The given form is Ax=b. Where,…

Q: 2. Can the system: Yı = x1+ X1X2X3 %3D Y2 = x2 + x1X2 Y3 = X3 + 2x1+3x be solved for (x1, X2, 13) in…

A: Consider the given system:

Q: 2. Solve the following LPP using Simplex method. Max P 12X + 16Y Subject to: 10x + 20y =0 and Y >= 0

Q: Solve the below system using Guass Elimination method only.…

Q: -Sy, tyz +66at y, = Iz 45.-2y2 -ẻt %3D

Q: Solve the following system of linear equations by the Gauss-Jordan elimination method. Show every…

Q: 2)By using Gramer's method to solve the system x + 2y + 3z = 0 2x + 3y + 8z = 0 x + 5y + 11z = 0 ,…

A: A system of equations is given. We need to solve it by Crammers rule. The solution is explained…

Q: Solve the following system using Gauss-Jordan elimination method. 3x +y+7z + 2t 2x - 4y + 14z -t =…

Q: Solve the system 2x + 8y - z = 11 5x – y + z = 10 -x +y + 4z = 3 by using Jacobi Method with x° = y°…

A: We have to find the solution of the system by using Jacobi Method.

Q: solve the following system of quation x-2y+z=0 2y-4z=4 -4x+5y+6z=-9

A: Given:- System of equations x-2y+z=0 2y-4z=4 -4x+5y+6z=-9 Method:- I use carmer's rule to solve…

Q: 2y + 4y + 4z 3z = 0 w + = 7 w + 3x + 7y + 2x 92 = 4 4y 6z = 6 - -

Q: Use the method of Example 8 to find the unique solution to the given linear system. 5a1 – 3r2 = -1…

Q: Use simplex method to solve the following system Махітize P %3D 0.5х + Зу + z Subject to x + y +z <…

Q: Solve by gauss elimination method: 15 x + y + z = 17; x + 15y + z = 17; x + y + 15z = 17

A: Consider the augmented matrix of the system.

Q: Solve the following system of linear equations by Gauss Elimination Method With Partial Pivoting.…

A: The use of a certain equation to eliminate a variable from other equations is called a pivot and a…

Q: Find any solution of the followig system of equations. X1= X2=| X3 [1 2 0] [X1 [3] = 13 0||X2 [X3] 1…

Q: Solve the following lineer equation system by using Gauss-Sidel method. Iterate twice by taking…

Q: 2.SOLVE BY GAUSS ELIMINATION METHOD 2X - Y+3Z = -3 3X +3Y Z 10 X-Y + Z = -4

Q: Solve the system as shown 3x2 + 5x3 = 1.20736 3x1 - 4x2 = -2.34066 5x1 + 6x3 = -0.329193 %3D and (b)…

A: We can solve this using formula of Gauss Seidel method

Q: Create a 2nd order, homogeneous, linear IVP, that is not guaranteed to have a unique solution at…

A: Let's a take a 2nd order, homogeneous, linear IVP. For second order differential has a unique…

Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

roduction To Management Science-20202
ST204-20202 / General / Assignment 1 (5%)
Use simplex method to solve the following system
Маxіmizе Р — 0.5х + Зу + Z
Subject to
x + y + z < 40
2x + y – z < 10
-y < 10
Maximum file size: 10OMB, maximum number of files: 1
Files
ll
TOSHIBA

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

Step 6

Final Step

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Vector Space$

Learn more about

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

Similar questions

Ruff Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce. Grain had 2 grams of protein and 4 grams of fat per ounce. A bag of dog food must contain at least 224 grams of protein and at least 148 grams of fat. Draw the feasibility region that show the number of ounces of chicken and the number of ounces of grain Ruff can mix into each bag of dog food.
Ruff Inc. Makes dog food out of chicken and grain. Chicken has 10 g of protein and 5 g of fat per ounce. Grain had 2 g of protein and 4 g of fat per ounce. A bag of dog food must contain at least 224 g of protein and at least 148 g of fat. Draw the feasibility region that show the number of ounces of chicken and the number of ounces of grain Ruff can mix into each bag of dog food.
The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $200 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.01 per month, or $0.12 per year; and annual fuel usage is 120,000 gallons. MBC buses operate 300 days a year. What is the optimal order quantity for MBC? Q* = fill in the blank 1 How frequently should MBC order to replenish the gasoline supply? fill in the blank 2 orders per year The MBC storage tanks have a capacity of 15,000 gallons. Should MBC consider expending the capacity of its storage tanks? Metropolitan Bus Company __needs to expand or does not need to expand___ the capacity of its storage tanks. What is the reorder point? r = fill in the blank 4 gallons
Formulate the objective function and the constraints for a situation in which a company seeksto minimize the total cost of materials A and B. The per pound cost of A is $25 and B, $10.The two materials are combined to form a product that must weigh 50 pounds. At least 20pounds of A and no more than 40 pounds of B can be used. Obtain the feasible region andsolution using graphical method.
Protective Research, Inc. received an order to produce a specially designed fence for preventing automobile accidents on the highways. The fence is manufactured in two sections, each requiring no more than 9 units of material A and no more than 6 units of material B. While each unit of material A weighs 4 kgs and B weighs 6 kgs, the final product must weigh exactly 48 kgs. Management figures profit in terms of input units, $240 per unit from material A and $160 from material B. What is the profitable mix.
A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10 grams of carbohydrates. The same company's Mango Tropical Fruit Dessert contains, in each serving, 40 calories and 7 grams of carbohydrates. You want to provide your child with at least 240 calories and at least 34 grams of carbohydrates. Draw the feasible region that shows the number of servings of cereal and number of servings of dessert that you can give your child. (Place the Mixed Cereal for Baby on the x-axis and the Mango Tropical Fruit Dessert on the y-axis.) Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) (x, y) = (x, y) = (x, y) =
A bus service carries 10 000 people daily between Ajax and Union Station and the company has space to serve up to 15 000 people per day. The cost to ride the bus is $20. Market research shows that if the fare increases by $0.50, 200 fewer people will ride the bus. What fare should be charged to get the maximum revenue, given that the bus company must have at least $130 000 in fares a day to cover operating costs.
A mining compariy produces'100 tons of red ore and 80 tons of black ore each week. These can be treated in different ways to produce tree different alloys, soft hard or strong. To prbduce l ton of soft alloy requires 5 tons of red ore and 3 tons of black. For the hard alloy the requirements are 3 tons of red and 5 tons of black. The profit per ton from selling the alloys (after allowing for production but not mining costs, which are regarded as fixed) are 5250, $300 and 5400 for soft, hard and strong respectively. Find the optimal combination to maximize the company's profit.
Ocean water contains 0.9 ounces of gold per ton. Method A costs $550 per ton of waterprocessed and will recover 90% of the metal. Method B costs $400 per ton of waterprocessed and will recover 60% of the metal. The two methods require the same capitalinvestment and are capable of producing the same amount of gold each day. If the extractedgold can be sold for $1,750 per ounce, which method should be recommended? The supplyof ocean water is essentially unlimited.
the management of the Unico department store has decided to enclose and 855 feet squared area outside the building for displaying potted plants and flowers one side will be formed by an external walk of the store to sites will be constructed of Pine Road at the port side we will make made of gold by Steel fencing is a pine board fencing cost $7 running foot and the still facing cost $2 running foot determine the dimensions of the enclosure that will be erected at minimum cost. Wood cost Steel cost
A fleet repair facility has the capacity to repair 800 trucks per month. However, due toscheduled maintenance of their equipment, management feels that they can repair nomore than 600 trucks per month. Last month, two of the employees were absent severaldays each, and only 400 trucks were repaired.a. Calculate the utilization of the repair shop.b. Calculate the efficiency of the repair shop.c. Discuss the utilization and efficiency of this repair facility. What can be done toimprove the operations at the facility
51) With a multiple-server model, increasing the arrival rate by 10 percent and also increasing the service rate of each server by 10 percent will result in: A) a decrease in the utilization of the system. B) no change in the average number of customers in the waiting line. C) a decrease in the average number of customers in the waiting line. D) an increase in the waiting time in line. 52) With a finite-source model, increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in a(n): A) increase in the utilization of the server. B) increase in the average number of customers in the service system. C) decrease in the average time spent in the system, including service. D) increase in the waiting time in line. 53) With a finite-source model, increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in: A) a decrease in the utilization of the server. B) no change in the…