Maximize 8x + 9ySubject to--x + 2 y < 82 x + 3 y < 13х+у <6х, у > 0a) Solve using simplex method

Given data: Objective function for maximization: 8χ+9γ Constraints: 1. χ+2γ<8 2. 2χ+3γ<13 3.…

Answered: Maximize 8x + 9y Subject to - x + 2 y <…

Business

Operations Management

Maximize 8x + 9y Subject to - x + 2 y < 8 2х + 3у <1з x + y < 6 х, у > 0 a) Solve using simplex method

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter8: Evolutionary Solver: An Alternative Optimization Procedure

Section8.3: Introduction To Evolutionary Solver

Problem 2P

See similar textbooks

Related questions

Q: Мах Ix, - 2x, s.a. - 4x, + 3x, < 3 1x, - 1x, s 3 X1, X2 Z 0

A: The graphical approach, often known as the geometric method, enables you to solve elementary linear…

Q: Which of the following assumptions is NOT associated with strategies for goods-producing location…

A: Goods producing locations should consider the following terms. These are Facilities Incentives and…

Q: I run JB Hunt trucking, and I'm trying to locate my warehouse to minimize the amount of gas my…

A: The Center of gravity method is used to calculate the coordinates of the best location.

Q: (790, 900) for X, Y and Z warehouses, respectively. For each warehouse, number of A product sold per…

Q: When we mention that "this modeling constitutes a useful aid to the visualization, communication and…

A: The visual representation can be stated as the representation or illustration of some data and…

Q: Solve the provided model please. Max 00.10x + 00.15y + 00.20z s.t. .87x + .89y+.91z = 0

A: Linear programming is a mathematical technique that is also used in operations management…

Q: Can you please explain "NORMING" only under Tuckman's model using a grocery/supermarket as the…

A: Tuckman's theory divided the Performance of a team into five states such as - Forming Storming…

Q: Minimize: Z = 3X₁ + 5X₂ + 5X3 + 4X4 Subject to: 8X₁ + 2X4 ≤ 100 4X2 + 3X3 = 90 8.>0

A: Linear programming is a mathematical technique that is also used in operations management…

Q: The new Health-Watch facility is targeted to serve seven census tracts in Erie, Pennsylvania, whose…

A: Formula:

Q: 49,557 B. D F G Cases, Cases, Deaths, Deaths. Use VLOOKUP to add the appropriate Population Values…

A: VLOOKUP is an abbreviation for 'Vertical Lookup.' It's a function that tells Excel to look for a…

Q: Firms with operating facilities in several different coun-tries are called __________.

A: Operating facilities- Operating facilities mean any original property rights leased, owned or…

Q: Show that any 2 *2 matrix A that does not have aninverse will have det A= 0.

Q: 4.5 The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest…

A: Given that: Past 5 years mileage data: Year Mileage 1 3000 2 4000 3 3400 4 3800 5 3700

Q: Civil engineering consulting fi rms that provide ser- vices to outlying communities are vulnerable…

A: The present value of the contracts is the present value of the cash inflow streams discounted at a…

Q: The Port of Savannah is considering an expansion of its container terminal. The port has experienced…

A: Given Information Year TEU 1 526.1 2 549.4 3 606 4 627 5 695.7 6 734.9 7 761.1…

Q: _______ warehouses are shared by several companies: Select one: a. Public warehouses b. Private…

A: A shared warehouse is a campus-like environment where multiple companies utilize the same…

Q: our job as an industrial engineer is to come up with the location of the distribution center (to the…

A: MINIMUM WEEKLY COST = 0.5*DISTANCE*QUANTITY

Q: Find the point of intersection of the pair of straight lines. y = −7x − 10 −y = 8x + 2 (x,…

Q: Explain using the perceptual map provided, the positioning of each of these cities

A: A perpetual map is a graphical representation that is used to visually represent the perceptions of…

Q: Мах 1x – 2x, s.a. — 4х, + 3x, 3 1x, — 1х, S 3 X1, X2 20

A: Linear programming (LPP) is subject to linear restrictions. To put it another way, linear…

Q: A company has n factories. Factory i is located at point(xi, yi), in the x–y plane. The company…

Q: 2. D.G.H.M. Inc. makes two different grades of cement mix for driveway paving for their clients.…

A: LPP is used to find an optimal solution from given conditions. For two-variable we use graphical…

Q: atnone of the employees will go out from the city and the radius of the city is 50km. What kind of…

A: Location measure technique

Q: Compute a 3-months moving average for the period from r

A: A three month moving average is a forecasting method which identifying the average of previous three…

Q: Match the following attributes of a city with the appropriate scale of measurements: Attribute…

A: Performance measurement has to be a logical extension of the analysis process. Various key…

Q: What is the fundamental distinction between a weighted average travelling and exponential smoothing?

A: Forecasting is a methodology for predicting future events by evaluating data sets quantitatively and…

Q: A. Be careful when you choose your location. Knowing the chances of crime in the areas you are…

A: Before starting any business and selecting a location for it it is important for an entrepreneur to…

Q: 7. Which of the following statements about a market is true? a. It is not necessary for the market…

A: A market refers to a place where different buyers and sellers come together to exchange goods and…

Q: 1a. Use the graph below to write a linear model to approximate the population of Bangladesh. (Do not…

A: From the graph, the approximate values of the population are as follows.

Q: It is projected that, t months from now, the population of a city will be ?(?) = 7650 + 7t + 4t^3/2…

A: In the question, we have following data, these are like Population of the city or P(X)=7650 + 7t +…

Q: East Texas Seasonings is preparing to build one processing center to serve its four sources of…

Q: Tournament time A high school's lacrosse team is planning to go to Buffalo for a three-day…

A: A categorical variable is one that has two or more categories but there is no particular intrinsic…

Q: Choose the correct letter of answer Sister Company has given the following production model : Max…

A: Max 18x S.t. 9x ≤ 45; x ≥ 0. 9x ≤ 45; Dividing both side by 9 , we get x ≤ 5 ------ (1)…

Q: Y=a+b1X1 +b2X2 +b3X3 Where Y = number of automobile accidents a = 7.5 bl = 3.5 b2 = 4.5 b3 = 2.5…

A: Regression analysis is used to define the relationship between independent and dependent variables.

Q: (H) linear programming formulation Let x- number of units i shipped to client j, using the indices…

A: Given data is As the capacity was less than demand a dummy row is added.

Q: a. Myanmar CP Live Stock Company Limited Shipped Sausage boxes around Myanmar. A manager wants to…

A: a) Given Monthly forecast equation y=402 + 3x where y is monthly forecast Solution As per data…

Q: is mainly used for goods which have a long life. Select one : a . Rail

A: The movement of people, animals, and products from one location to another is known as…

Q: Find the best location using the Center of Gravity Excel template. Round your answers to two decimal…

A: THE ANSWER IS AS BELOW:

Q: Oscar’s Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its…

A: Solution a) The coordinates using center of gravity method us given by- x=∑li×xi∑liy=∑li×yi∑li

Q: ponential smoothing method, whlch one of the following statements is true?

A: Data having a systematic trend or seasonal component can be supported using the time series…

Q: A company that handles hazardous waste to minimize the shipping cost for shipment to a disposal…

A: Given data, To find location of disposal center Location processing stations (X,Y) Volume tons…

Q: Oscar's Bowling, Inc., wants to break into the Phoenix metropolitan market with one of its…

A: Given data: City X Y Population Tempe 5 5 285000 Scottsdale 5 10 350000 Chandler 5 0 725000…

Q: The following table shows the result of a survey about the industry that students hope to work in…

Q: Convert the following problem to Standard Form. max z := -2xı + x2 s.t. 2x1 + x2 1 T12 0, а2 freе.

Q: Show your calculation

A: SENSUS TRACT CENTER OF TRACT (di) POPULATION IN TRACK(Pi) A (3,4) 45,000 B (4,5) 25,000…

Concept explainers

Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.

Question

100%

Maximize 8x + 9y
Subject to
--
x + 2 y < 8
2 x + 3 y < 13
х+у <6
х, у > 0
a) Solve using simplex method

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: Introduction

VIEW

Step 2: Solution

VIEW

Step 3: Conclusion

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

Similar questions

Use the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. Given values – 144, -192, and 96 for Dx, Dy, and Dz respectively and D = 144. Then the solution to the system for x, y and z are: A. -1, -1.33, and 0.67 B. -0.47, -0.63 and 0,30 C. 0.5, 0.67 and-0.33 D. 0.73, 0.98 and -0.49
Find solution using simplex method MAX Z = 6x1 + 4x2subject tox1 + x2 ≤ 5x2 ≥ 8and x1,x2 ≥ 0
Solve this using Simplex method Maximize: 4x1 + 2x2 + 5x3 S.t. x1 + 2x2 + x3 <=25 x1 + 4x2 + 2x3<=40 3x1 + 3x2 + x3 <= 30 x1, x2, x3>=0
Consider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 ≤ 1 x1 + x2 ≥ 2 x1,x2 ≥ 0 a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.)b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.
Solve the given standard minimization problem using duality. (You may already have seen some of these in earlier sections, but now you will be solving them using a different method.) HINT [See Example 1.] Minimize c = s + 2t subject to 4s + t ≥ 210 2s + t ≥ 160 s + 3t ≥ 315 s ≥ 0, t ≥ 0. c= (s, t) =
Find the optimal solution to this linear programming problem. (Round your answers to three decimal places.) Max 2X + 3Y s.t. 4X + 9Y ≤ 71 10X + 11Y ≤ 111 17X − 9Y ≤ 152 X, Y ≥ 0 (X, Y) =
Max Z = 3X1 + 4X2 Sub to: X1 + X2 ≤ 20 2X1 + 3X2 ≤ 50 And X1, X2 ≥ 0 (SOLVE MANUALLY USING SIMPLEX METHOD PLEASE DON'T USE SHORTCUTS)
Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 4y − 6z = 26 x + 2y + 3z = 7 3x − 4y + 4z = −4 (x, y, z) =
Find the minimum value of the function z=2x+2y subject to the following constraints. x≤17 y≤16 5x+2y≥42 3x+11y≥84
Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 7x + 14y + 4z subject to the following. 3x + 5y + 4z ≤ 30 3x + 2y ≤ 4 x + 2y ≤ 8 (x,y,z)= f=
Suppose a company must service customers lying inan area of A sq mi with n warehouses. Kolesar and Blumhave shown that the average distance between a warehouseand a customer is An Assume that it costs the company $60,000 per year tomaintain a warehouse and $400,000 to build a warehouse.(Assume that a $400,000 cost is equivalent to foreverincurring a cost of $40,000 per year.) The company fills160,000 orders per year, and the shipping cost per order is$1 per mile. If the company serves an area of 100 sq mi,then how many warehouses should it have?
A person starting in Columbus must visit Great Falls, Odessa, and Brownsville, and then return home to Columbus in one car trip. The road mileage between the cities is shown. Columbus Great Falls Odessa Brownsville Columbus --- 102 79 56 Great Falls 102 --- 47 69 Odessa 79 47 --- 72 Brownsville 56 69 72 --- a)Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit.