Using the FCFS rule for scheduling, the sequence is 1-2-3 3-2-1 1-3-2 2-1-3 2-3-1 3-1-2 Sunny Park Tailors has been asked to make three different types of wedding suits for separate customers. The table below highlights the time taken in hours for cutting and sewing (process 1) and delivery (process 2) of each of the suits. Times Taken for Different Activities (hours) Cut and Sew Suit 1 2 3 4 7 Deliver 2 7 5 Assume that orders for suits have been listed in the above table in the order in which they were received
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- Speaker’s Clearinghouse must disburse sweepstakeschecks to winners in four different regions of the country:Southeast (SE), Northeast (NE), Far West (FW), andMidwest (MW). The average daily amount of the checkswritten to winners in each region of the country is as follows:SE, $40,000; NE, $60,000; FW, $30,000; MW, $50,000.Speaker’s must issue the checks the day they find out acustomer has won. They can delay winners from quicklycashing their checks by giving a winner a check drawn onan out-of-the-way bank (this will cause the check to clearslowly). Four bank sites are under consideration: FrosbiteFalls, Montana (FF), Redville, South Carolina (R), PaintedForest, Arizona (PF), and Beanville, Maine (B). The annualcost of maintaining an account at each bank is as follows:FF, $50,000; R, $40,000; PF, $30,000; B, $20,000. Eachbank has a requirement that the average daily amount ofchecks written cannot exceed $90,000. The average numberof days it takes a check to clear is given in Table 22.…Five health care men are available to do five different jobs. From past records, the time (in hours) that each man takes to do each job is known and is given in the following table :Tim runs a softball league consisting of 16 teams. Each team plays approximately 20 games each summer. The biggest challenge for Tim in scheduling games has been the lack of available umpires. There are only 5 available umpires and they prefer to work consecutive nights and not more than 4 times per week. The typical requirements for umpires on a given week is shown below. A. How can you use workforce scheduling methods to schedule the umpires this comingsummer? B. Create an optimal schedule. Monday Tuesday Wednesday Thursday Friday Saturday Sunday Umps Required 4 4 2 2 4 4 1
- Green Vehicle Inc. manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold. a) Define the objective function and constraint equations. b) Graph the feasible region. c) What is a maximum-profit daily production plan at the new factory? d) How much profit will such a plan yield, assuming whatever is produced is sold?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)?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)…
- 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.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.Please formulate the problem as AN OPTIMIZATION MODEL only and I will finish the rest. Health Center is planning to open its facilities 24 hours a day and wants to determine an optimal schedule. for their nurses. A nurse's work schedule is 8 hours in a row and can only start at the beginning of each shift. The personnel requirement for each shift is shown in Table 1. Table 1 – Personnel Requirement
- Lee Beedo, a hip bachelor in Edmond, has a date for Saturday night and finds himself without a thing to wear. Faced with the daunting task of doing enough laundry to fully accessorize during his night out, Lee has sorted his clothes into loads according to fabric and color. Based on his vast experience doing laundry, Lee knows how long each load will take in both the washer and the dryer. He glances at his watch; it is now 2:00 p.m. and he has to have the last load dry by 8:30 p.m. to be there in time. Help Lee develop a schedule that will enable him to make his date on time and depict that schedule using a Gantt chart. Can he make it and, if so, by how much?Business Analytics department chair will be scheduling faculty to teach courses during thecoming fall semester. Four core courses need to be covered. The four courses are at theUG, MBA, MS, and Ph.D. levels. Four professors will be assigned to the courses, witheach professor receiving one of the courses. Student evaluations of professors are availablefrom previous semesters. Based on a rating scale of 1 to 5, the average student evaluationsfor each professor are shown in the following table. Professor C does not have a Ph.D.and cannot be assigned to teach the Ph.D. level course. If the department chair makesteaching assignments based on maximizing the student evaluation ratings over all fourcourses, what staff assignments should be made?CourseProfessor UG MBA MS Ph.D.A 4.2 4.7 4.3 4.2B 4.1 4.4 3.9 4.5C 4.6 4.1 4.2 -D 4.8 4.0 4.6 4.4a) Develop a network representation of this problem.b) Formulate a linear programming model for this problem.c) Solve the problem by using Excel Solver…Consider a manufacturing process depicted by the following flowchart. flowchart Station A has 3 parallel operators, A1, A2, and A3. Station C has 2 parallel operators, C1 and C2. Each unit only needs to be processed by one of the operators A1, A2 and A3. After being processed at Station B, a unit then needs to be processed by either C1 or C2. The process time of the individual operators are given as follows. A1, A2, and A3: 12 minutes B: 14 minutes C1 and C2: 6 minutes. The process initiates the production of a new unit every 18 minutes. What is the utilization of Operator C2 in percentage? Note: Provide a number without the % mark. Round your final answer to 2 decimal places if it is not a whole number.