In the optimal solution to the machine-to-job assignment problem, jobs 3 and 4 are assigned to differentmachines. Suppose there is an extra restriction thatthese jobs must be assigned to the same machine.Change the model to accommodate this restrictionand find the new optimal solution
Q: Show your step-by-step process using THE SPECIAL PURPOSE LINEAR PROGRAMMING: MODI TRANSPORTATION…
A: TOTAL number of supply constraints : 3TOTAL number of demand constraints : 3Problem Table is :…
Q: A process layout problem consists of 3 departments, each of which can be assigned to one of three…
A: A process layout is a floor plan in which machines are arranged in such a sequence that provides…
Q: A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 100 widgets per day.…
A: Shipping costs are described as the costs associated with the movement of a commodity or a cargo…
Q: The machine repair problem is an application of the M/M/1 model with -
A: M/M/1 model means that the average times of service and arrival rates are given for a period. Then…
Q: Speaker’s Clearinghouse must disburse sweepstakeschecks to winners in four different regions of the…
A: The best alternative is given below:
Q: Example: suppose that three jobs must be assigned to three machines, each machine must be assigned…
A: Let n be the number of allocations, where n=3 Step 1: Subtract the lowest value in each row from…
Q: A studio that makes statues is trying to maximize its profit. Their two primary products are the…
A: Given data is Profit by liberty statutes = $90 Profit by colossus statues = $99 Machine time…
Q: A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 100 widgets per day.…
A: From the given information, the transportation problem can be tabulated as follows.
Q: In the employee scheduling example, suppose the company has 25 full-time employees and is not…
A: The decision variable are the number of workers starting from 5 days shift on various days. Work…
Q: At a machine tool plant, five jobs must be completedeach day. The time it takes to do each job…
A: Given data, Job time data Times to do jobs and setup times Jobs 1 Jobs…
Q: if the profit for the coffee table is increased from $ 9 to $ 15, what is the new optimal solution?…
A:
Q: A manufacturing company processes 6 different jobs on two mahcines A and B. Number of units of each…
A: 1. The smallest processing time is 3 hours for job 4 on Machine-1. So job 4 will be processed…
Q: Destination: Source 1 2 3 Demand 1 9 7 6 4 Unit Cost (S) 2 12 7 2 3 8 10 6 3 Supply 432 a. Draw the…
A: Find the Given details below: Given details: Destination Source 1 2 3 Supply 1 9 6 8 4…
Q: Determine the overhead application rates for the producing departments using each of the three…
A: THE OVERHEAD APPLICATION RATES UNDER THREE METHODS ARE AS BELOW:
Q: Explain the basic assumptions of the assignment method of linear programming in operation?
A: The linear method is presented for identifying and resolving a variety of linear inequalities that…
Q: One possible solution method for the machine-to job assignment problem is the following heuristic…
A: Yes, this heuristic provides the most efficient method of task assignment because projects done on…
Q: of There are three work centers (A, B, and C) in a factory that can each fit into three spaces (1,…
A: The matrix of work (trips per day) at three centers are shown: A B C A - 20 50…
Q: A furniture company is producing tables and chairs for the coming week. The production of tables and…
A: This question is related to the topic -Decision Making and this topic fall under the Operations…
Q: Write the correct mathematical models for the objective functions and constraints.
A: Given data is Plastic required for space ray toys = 2 pounds Labor required for space ray toys = 3…
Q: Four doctors work in a hospital emergency room thathandles three types of patients. The time a…
A: Given data, Doctors = 4 Types of Patient = 3 Mean Time =15 The average number of arrivals per…
Q: The Northside Bank is working to develop an efficient work schedule for full-time and part-time…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: What are the basic assumptions of the assignment method of linear programming?
A: Linear programming Linear programming refers to the approach of taking different linear…
Q: Consider a school district with I neighborhoods, J schools, and G grades at each school. Each school…
A: Let the decision variables be xijg = 'm' students from neighborhood i assigned to school j in grade…
Q: Explain the basic assumptions of the assignment method of linear programming in operations
A: Linear programming is a technique for analyzing various linear inequalities connected with various…
Q: Determine an optimal schedule of start time and number of volunteers.
A: First, construct the Reporting vs. Availability table as follows: Reports at → 8am 9am 10am 11am…
Q: Since Powell has been requested to keep the security budget at a minimum, he needs to minimize the…
A: Linear programming (LP, also known as linear optimization) is a technique for achieving the optimal…
Q: (a) Formulate a linear programming model for this problem. c (b) Solve this model by the simplex…
A: Let us assume that x1 as the Portion of Alloy 1, whereas x2 for Portion of Alloy 2. Likewise x3, x4…
Q: Merlin Park Hospital has 4 scan machines and 4 patients to scan. Each machine must be assigned to…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: The company produces navels at three plants, which can be delivered directly to the two customers or…
A: From the given data : The decision variables are determined using the given table: From node|To…
Q: Find the x- intercept and y- intercept of each constraints and graph.
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Or lein an initial feasible solution to the following Transportation Problem using the matrix minima…
A: Note: - Since the exact question that has to be answered is not specified we will answer the first…
Q: a. Formulate a linear programming model for this problem. b. Solve this model by using the computer.
A: The cost Per Pound for Feed A is 50 cents The cost Per Pound for Feed B is 75 cents
Q: One possible solution method for the machine-tojob assignment problem is the following heuristic…
A: It is on the basis of the quickness machine to solve the particular problems. problems. And if the…
Q: explain the meaning of the numbers on the right-hand side of each of the constraints and the…
A: Linear programming model is used to obtain maximum profits, by utilizing minimum resources…
Q: In the Hungarian Methodology of solving the Assignment Model, upon eliminating the zeroes using the…
A: The Hungarian method is the technique used to solve the assignment problem where it states that if…
Q: Four automobiles have entered Ilham’s Repair Shop for various types of work, ranging from a…
A: The assignment problem refers to an optimization problem. Here, there are various tasks that need to…
Q: Which of the following is the key identifier of a resource-allocation problem? I. Constraints with…
A: The issue of allocation of resources emerges because of the shortage of resources and alludes to the…
Q: Chaka Furniture Shop located in Cavite makes two kinds of products, cabinets and dressers, which…
A: Note: - Since we can answer only up to three subparts we will answer the first three subparts(a, b,…
Q: Formulate an optimization model to minimize labor expenses. You must solve the optimizati either the…
A:
Q: Linear Programming A furniture company is producing tables and chairs for the coming week. The…
A: A. Maximize Z = 5C + 6T subject to C + 2T <= 70 Wood cutting 4C + 3T <= 180…
Q: A manufacturing company must assign machine operators to each of four jobs. The time an operator…
A: Assignment problems are used to allocate different available resources to different jobs or…
Q: ou are given a linear programming problem. Maximize P = 3x + 3y subject to 5x + 3y ≤ 30…
A: In the graphical method, the points are identified and then a line is drawn. Using this line, the…
Q: A company produces two products that are processed on two assembly lines. Assembly line 1 has 100…
A: Two products are processed on two assembly lines Available Hours: Assembly Line 1 = 100 hours…
Q: a. The Objective Function b. All the constraints that the solution must satisfy, including…
A: The process through which the values of the variables that maximize or minimize a given linear…
Q: A. We can use Prim's algorithm to solve the MS programming (DP). B. We can use Kruskal's algorithm…
A: A minimum spanning tree (MST) is a subset of the edges of an associated weighted undirected chart…
Q: Jack is the quality manager of Shearwater Systems. Shearwater and maintenance services to homeowners…
A: The various options to give access to the technicians are as follows: Advantages - Smartphones…
Q: A furniture company is producing tables and chairs for the coming week. The production of tables and…
A: This question is related to the topic-decision making and this topic falls under the Operations…
In the optimal solution to the machine-to-job assignment problem, jobs 3 and 4 are assigned to different
machines. Suppose there is an extra restriction that
these jobs must be assigned to the same machine.
Change the model to accommodate this restriction
and find the new optimal solution
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machine-paced line flow). Each worker must perform at least one task. There exists unlimited demand unless stated otherwise. Time to Complete Task (seconds): Task 1: 30 Task 2: 25 Task 3: 15 Task 4: 20 Task 5: 15 Task 6: 20 Task 7: 50 Task 8: 15 Task 9: 20 Task 10: 25 Task 11: 15 Task 12: 20 The current conveyor-paced assembly-line configuration assigns the workers in the following way: • Worker 1: Tasks 1, 2, 3 • Worker 2: Tasks 4, 5, 6 • Worker 3: Tasks 7, 8, 9 • Worker 4: Tasks 10, 11, 12 What is the direct labor content (in seconds per unit)?One possible solution method for the machine-tojob assignment problem is the following heuristic procedure. Assign the machine to job 1 that completes job 1 quickest. Then assign the machine to job 2 that, among all machines that still have some capacity, completes job 2 quickest. Keep going until a machine has been assigned to all jobs. Does this heuristic-procedure yield the optimal solution for this problem? If it does, see whether you can change the job times so that the heuristic does not yield the optimal-solution.ACE Hardware wants to develop a daily schedule for its employees in one of its stores in Omaha. Currently, this store has five employees and the store is opened from 12pm to 9pm. The store must always have at least two people on hand. Each employee must work at least four hours and no more than eight hours per day. Employee #1 goes to school and cannot start before 4pm while all other employees can work at any time. Furthermore, employee #1 earns $10 per hour while all other employees earn $12 per hour. Because all five employees live so close to the store, you must assume that they need to work consecutive hours. a) Formulate an optimization model for this problem. b) Solve the optimization model using either the Microsoft Excel Solver
- One possible solution method for the machine-to job assignment problem is the following heuristic procedure. Assign the machine to job 1 that completes job 1 quickest. Then assign the machine to job 2 that, among all machines that still have some capacity, completes job 2 quickest. Keep going until a machine has been assigned to all jobs. Does this heuristic procedure yield the optimal solution for this problem? If it does, see whether you can change the job times so that the heuristic does not yield the optimal solution.Airline Scheduling. Alpha Airline wishes to schedule no more than one flight out of a given airport to each of the following cities: C, D, L, and N. The available departure slots are 8 a.m., 10 a.m., and 12 noon. Alpha leases the airplanes at the cost of $5000 before and including 10 a.m. and $3000 after 10 a.m., and is able to lease at most two per departure slot. Also, if a flight leaves for location N in a time slot, there must be a flight leaving for location L in the same time slot. The expected profit (in $1000) contribution before rental costs per flight is shown in the table below. Time Slot 8 10 12 C 10 6 6 D 9 10 9 L 14 11 10 N 18 15 10 a) Formulate an integer linear program model that can be used to find the profit-maximizing schedule. Define your decision variables as Xij = 1 if a flight to destination i occurs in time slot j and Xij = 0 otherwise; and Yj = number of airplanes rented for time slot j. Write the objective function and all the constraints. b)…At a machine tool plant, five jobs must be completedeach day. The time it takes to do each job depends on themachine used to do the job. If a machine is used at all, thereis a setup time required. The relevant times are given inTable 20. The company’s goal is to minimize the sum of thesetup and machine operation times needed to complete alljobs. Formulate and solve (with LINDO, LINGO, or ExcelSolver) an IP whose solution will do this. Machine 1 2 3 4 5 Time (Minutes)1 42 70 93 X X 302 X 85 45 X X 403 58 X X 37 X 504 58 X 55 X 38 605 X 60 X 54 X 20
- To formulate a minimization problem for solution by the simplex method, we must add slack variables to a. only inequality constraints. b. only “less than” constraints. c. only “greater than” constraints. d. all inequality constraints.Five employees are available to perform four jobs. Thetime it takes each person to perform each job is given inTable 50. Determine the assignment of employees to jobsthat minimizes the total time required to perform the fourjobs. Please also provide the graph.A company supplies goods to three customers, who eachrequire 30 units. The company has two warehouses.Warehouse 1 has 40 units available, and warehouse 2 has 30units available. The costs of shipping 1 unit from warehouseto customer are shown in Table 7. There is a penalty for eachunmet customer unit of demand: With customer 1, a penaltycost of $90 is incurred; with customer 2, $80; and withcustomer 3, $110. Formulate a balanced transportationproblem to minimize the sum of shortage and shipping costs.
- Four automobiles have entered Ilham’s Repair Shop for various types of work, ranging from a transmission overhaul to a brake job. The experience level of the mechanics is quite varied, and Ilham would like to minimize the time required to complete all of the jobs. He has estimated the time in minutes for each mechanic to complete each job. Shima can complete job 1 in 400 minutes, job 2 in 90 minutes, job 3 in 60 minutes, and job 4 in 120 minutes. Dekmal will finish job 1 in 650 minutes, job 2 in 120 minutes, job 3 in 90 minutes, and job 4 in 180 minutes. Tia will finish job 1 in 480 minutes, job 2 in 120 minutes, job 3 in 80 minutes, and job 4 in 180 minutes. Hazza will complete job 1 in 500 minutes, job 2 in 110 minutes, job 3 in 90 minutes, and job 4 in 150 minutes. Each mechanic should be assigned to just one of these jobs. Draw the initial table for this assignment problem.Solve Problem 1 with the extra assumption that the investments can be grouped naturally as follows: 14, 58, 912, 1316, and 1720. a. Find the optimal investments when at most one investment from each group can be selected. b. Find the optimal investments when at least one investment from each group must be selected. (If the budget isnt large enough to permit this, increase the budget to a larger value.)XYZ Corporation operates two plants, each of which has a capacity of 140 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 11 units per day while customer D has a demand of 247 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 12 18 21 10 Plant 2 16 14 18 20 How many units should XYZ ship from each plant to each customer? Customer A Customer B Customer C Customer D Plant 1 Plant 2 What is the least XYZ will spend on shipping each day?