A production line is to be designed for a job with four tasks. The task times are 2.4 minutes, 0.4 minutes, 0.9 minutes, and 2.7 minutes. After line balancing, the largest possible assigned cycle time is cycle time is 6.4; 2.7 minutes, and the smallest possible assigned minutes. O 2.7, 0.4 O 6.4, 2.4 O1.6, 0.4 18, 1.4
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- 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.Mike Reynolds has four assignments due in class tomorrow, and his class times are as follows: Class Time Marketing 304 9 a.m. OM 385 12 p.m. Finance 216 2 p.m. Psychology 200 5:30 p.m. Each class lasts one hour, and Mike has no other classes. It is now midnight, and Mike estimates that the finance, OM, marketing, and psychology assignments will take him two, three, five, and four hours, respectively. Assume that all time till the last class begins can be spent on completing assignments but each assignment should be done till the time of the class on the same subject. (Mike can prepare assignments for the next classes during previous classes.) Use the Excel to determine how he should schedule the work. Use minus sign to enter negative lateness values, if any. Enter the half an hour value as 0.5, e.g., 3:30 p.m. should be entered as 15.5. If your answer is zero, enter "0". Round your answers for the due date, lateness, and tardiness to one decimal place. Round your…Mike Reynolds has four assignments due in class tomorrow, and his class times are as follows: Class Time OM 304 8 a.m. Marketing 385 10 a.m. Psychology 216 1 p.m. Finance 200 4:30 p.m. Each class lasts one hour, and Mike has no other classes. It is now midnight, and Mike estimates that the psychology, marketing, OM, and finance assignments will take him five, two, three, and four hours, respectively. Assume that all time till the last class begins can be spent on completing assignments but each assignment should be done till the time of the class on the same subject. (Mike can prepare assignments for the next classes during previous classes.) Use the Excel Sequencing template to determine how he should schedule the work. Use minus sign to enter negative lateness values, if any. Enter the half an hour value as 0.5, e.g., 3:30 p.m. should be entered as 15.5. If your answer is zero, enter "0". Round your answers for the due date, lateness, and tardiness to one decimal…
- 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.A) What is the theoretical minimum number of workstations? a. 3 workstations b. 3.5 workstations c. 3.83 workstations d. 4 workstations e. 5 workstations B) Which of the following statements is FALSE? a. Tasks A, B, and C can be started as soon as possible. b. All of the tasks A, B and C should be finished first before task F can be started. c. All of the tasks A through H should be finished first before task I can be started. d.All of the tasks B, E, C and F should be finished first before task H can be started. Answer the two questions please.A toy manufacturer preparing a production schedule for two new toys, trucks spinning tops,must use the information concerning their construction times below.Machine A Machine B FinishTruck 2hr 3hr 5hrSpinning Top 1hr 1hr 1hrFor example, each truck requires 2 hours on machine A. The available employee hours per weekare as follows: For operating machine A; 80 hours; for B, 50 hours; for finishing 70 hours. If theprofits on each truck and spinning top are R7 and R2, respectively, how many of each toyshould be made per week to maximize profit? What is the maximum profit?
- 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?A project director runs a staff consisting of 6 scientists and 3 lab technicians. Three new projects have to be worked on and the director decides to assign 4 of her staff to the first project, 3 to the second, and 2 to the third. In how many ways can this be accomplished if each project requires 1 lab technician?In an evaluation of labor assignment rules when workers are not perfectly interchangeable, Paul. M. Bobrowski and Paul Sungchil Park created a dynamic job shop with 9 work centers and 9 workers, both numbered 1–9. The efficiency of each worker is specified in the following labor efficiency matrix, which represents the degree of worker cross-training.† Work Centers 1.00 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 1.00 0.95 0.95 0.95 0.95 0.95 0.85 0.85 0.85 0.85 1.00 W o r k e r s (a) For what work center(s) is worker 2 least efficient? (Enter your answers as a comma-separated list.) (b) For what…
- A restaurant operates from 8 a.m. to 8 p.m. and employs both full-time and part-time workers. Full-time workers work from 8 a.m. to 6 p.m., 9 a.m. to 7 p.m., or 10 to 8 p.m. and are paid $140 per day. Part-time workers work either 12 p.m. to 6 p.m. or 1 p.m. to 7 p.m. and are paid $85 per day. The number of employees needed every hour is as follows. Develop a work schedule that minimizes daily labor costs. What is the optimal minimum cost? 8-9A 7 9-10A 8 10-11A 8 11A-12P 6 12-1P 7 1-2P 8 2-3P 10 3-4P 9 4-5P 9 5-6P 8 6-7P 3 7-8P 2At a manufacturing assembly line, 30 jobs arrive perhour. Each job must pass through two production stages:stage 1 and stage 2. Stage 1 takes an average of 1 minute tocomplete, and 1 worker is available to perform stage 1.After completing stage 1, the job immediately passes tostage 2. Stage 2 takes an average of 2 minutes to complete,and 2 workers are available to work on stage 2. Aftercompleting stage 2, each job is inspected. Inspection takesan average of 3 minutes, and 3 workers are available toperform inspection. After inspection, 10% of the jobs mustbe returned to stage 1, and they then repeat both stages 1and 2. After inspection, 20% of all jobs return to stage 2 andrepeat stage 2. Assume that interarrival times and servicetimes are exponential.a What is the average time a job spends in the systemfrom arrival to completion?b What percentage of the time is each worker busy?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