Find the optimal solution for the following problem. (I Maximize C = subject to 13x + 3y + 12z 6x + 14y + 21z s 66 15x + 20y + 7z S 132 x 2 0, y 2 0, z 2 0. and

Q: SUBJECT : OPERATION RESEARCH 1. When problem become unrestricted after changing primal to dual…

A: Given information,  Min z  Z = x1 -3x2+3x3  subject to constraints  3x1 -x2+2x3 ≤7   2x1+4x2 ≥-12…

Q: Find solution using simplex method. MAX Z = 6x1 + 4x2 subject to 2x1 + 3x2 ≤ 30 3x1 + 2x2 ≤ 24 x1 +…

A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

Q: Find solution using simplex method  MAX Z = 6x1 + 4x2 subject to x1 + x2 ≤ 5 x2 ≥ 8 and x1,x2 ≥ 0

A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

Q: Factory mand A B 50 $2 10 Warehouse 2 100 $4 3 N 3 $4 7 20 4 Supply $1 150 7 200 5 150 150 200 500…

A: Since you have submitted a question with multiple sub-parts, as per guidelines we have answered the…

Q: May I have the linear programming graph (or model) or plot with the given following information? 3…

A: Objective Functions and Constraints:                 Based on the given details, we found the…

Q: 2 Use the simplex algorithm to find the optimal solution to the following LP: min z = -4x, + x2 s.t.…

A:

Q: 3.17 Following is the connectivity matrix of a graph. Use the shortest path la algorithm to find the…

A: GIVEN,

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

A: The center of gravity method is utilized for finding single offices that think about existing…

Q: Use Simplex method to Maximize 1 2 Ζ = 4x +10x Subject to 1 2 2x + x ≤ 50 1 2 2x + 5x ≤100 1 2 2x +…

A: I have answered the second question, First let me formulate or rewrite the LP problem as stated…

Q: 2.3.5. Mixed Constraints Linear Programming Problem Example 14: Use the graphical method to solve…

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

Q: Find the optimum solution for the following Integer Linear Programming problem using the Cutting…

A: Throughout mathematical optimization, this same cutting-plane approach is any of a range of…

Q: Use the Big-M method to find an initial basic feasible solution for the following LP: max z = 3xị +…

A: Solution Max Z=3x1+x2subject to1. x1+x2≥32. 2x1+x2≤43. x1+x2=34. x1,x2≥0The problem is converted to…

Q: Grave City is considering the relocation of several police substations to obtain better enforcement…

A: Locations Areas A 1,4,7 B 1,3,5,7 C 1,2,5 D 2,5,6 E 3,4,7 F 4,6

Q: Solve the following goal programming model graphically and by using the computer: minimize Pīd† ,…

A: Goal programming is a part of multiobjective enhancement, which thusly is a part of multi-measures…

Q: In Myanmar (formerly Burma), 61aborers, each makingthe equivalent of $3 per day, can produce 40…

A: Given data is Laborers in Myanmar = 6 Production in Myanmar = 40 units per day Cost of labor in…

Q: Find the maximum value of z=9x+90y. Show solutions.

A: The given data is a graphical representation of a linear programming problem. Objective function:…

Q: a. Define the decision variables b. Write a linear programming model for this problem. c. Use the…

A: Honor code: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Solve the transportation problem using row minima method having the values of sources (S1,S2,S3) and…

A: Find the given details below: Based on the provided details, we formed the below table. Given…

Q: 2. Graph the following system of linear Inequalities, shade the solution/feasible region and…

A: Given Information: x + y ≤ 9 2x + 5y ≥ 10   To show them graphically, first the linear in equalities…

Q: Three existing facilities are located at (0, 0), (5, 5), and (10, 10). The weights applied to these…

A: Given Information:   The following formula can be used to calculate the location of a new facility:

Q: A small manufacturing facility is being planned that will feed parts to three heavy manufacturing…

A: Given data is shown below. Plant location Coordinates(x,y) Volume(parts per year) Peoria…

Q: An electronics firm located near Phoenix, Arizona, is considering where to locate a new phone switch…

A: Given locations of buildings are, (0,0),(2,6),(10,2),(3,9) and (0,4)

Q: A linear programming problem is given as follows: min ? = −4?1 + ?2 Subject to 8?1 + 2?2 ≥ 16 4?1 +…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A coordinate system is superimposed on a map. Three existing facilities arelocated at (5, 15), (10,…

A: Formula:

Q: 2.The GOODBABY Company has three plants producing child push chairs that are to be shipped to four…

A: Formula:

Q: Solve the linear programming problem by the method of corners. Minimize C = 6x + 7y…

A: Given,

Q: For the following IP problem, determine the optimal solution using Branch-and-Bound algorithm.…

A: Given that: MAX Z = 2x1 + 3x2subject tox1 + x2 >= 3x1 + 3x2 >= 6and x1,x2 >= 0

Q: Use the Big-M method to find an initial basic feasible solution for the following LP: max z = 3x1 +…

A: The problem is converted to canonical form by adding slack, surplus and artificial variables as…

Q: 5 Use the simplex algorithm to find the optimal solution to the following LP: min z = -x1 - 2x2 s.t.…

A: Iteration 1: Zj-Cj = 2 Column index = 2 Entering variable= x2. Minimum ratio =3 Row index = 2…

Q: Consider the network shown in Figure 2 below with node 1 (origin) to node 6 and the number along…

A: Dijkstra's Algorithm enables you to determine the shortest path between one node (you can choose…

Q: LM.63 A growing venture capital firm wants to open a new office somewhere in Silicon Valley. They do…

A: Center of gravity method identify the optimal place for central location based on the distance…

Q: 8 Use the simplex method to find the optimal solution to the following LP: max z = 5x1 + x2 s.t. 2x,…

A: Zj-Cj = -5 Column index = 1 Entering variable = x1 Minimum ratio = 0 Row index = 2 Leaving basis…

Q: Travelling Salesman Problem (TSP): Given the following distance matrix, use the nearest neighbor…

A: Given data is, Distance in miles w 1 2 3 4 w 0 18 57 27 50 1 18 0 65 29 61 2 57 65 0 36 99…

Q: Table 4: Cities Stellenbosch Cape Town Swellendam Hermanus Paarl 96 Stellenbosch Cape Town 55 116…

A: Let us name the cities as Stellenbosch-st Cape town-ct Swellendam-sw Hemanus-he Paari-pa

Q: J 2 An electronics store wants to identify a location for a warehouse that will ship to five retail…

A: In order to find the best location, the load distance method can be used. Here, the distance needs…

Q: 1. Cars are shipped from three distribution centre's to five dealers. The following table summarizes…

A: Initial feasible solution sets parameters such that the only requirement that is meant to be met is…

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: Which of the following is NOT a corner point of the feasible regloh UI max z = 3x + 2y subject to…

A: Below is the solution:-

Q: Q1 Find the best solution for the following model using simplex MAX Z = 10X1 + 8X2 SUB TO: 4X1 + 2X2…

A: Max Z =   10 x1 + 8 x2 subject to   4 x1 + 2 x2 ≤ 80     x1 + 2 x2 ≤ 50 and…

Q: Consider the followingg linear programming problem:   Max 3A + 3B st. 2A + 4B ≤ 12 6A + 4B ≤ 24…

A:

Q: Consider the followingg linear programming problem:   Max 3A + 3B st. 2A + 4B ≤ 12 6A + 4B ≤ 24…

A:

Q: A. Solve the following linear program by the solver method. P = 100x + 200y 3x + 3y z 16 14x + 5y s…

A:

Q: Consider the followingg linear programming problem:   Max 3A + 3B st. 2A + 4B ≤ 12 6A + 4B ≤ 24…

A:

Q: Using the store visits as weights, compute the coordinates of the center of gravity to help him with…

A: The center of coordinates is (2.50,5.83).

Q: Minimize Z = -5x1 + 4r2 subject to 213 x2 + 4r3 < 3 2x2 + 6x3 < 10 (1) (2) I1 2 0, x2 2 0, x3 2 0.…

A: GivenMIN Z = -5x1 + 4x2 - 2x3subject tox1 - x2 + 4x3 &lt;= 33x1 - 2x2 + 6x3 &lt;= 10and x1,x2,x3…

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.