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
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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?
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- The Safe Zone Restaurant, a 24-hour restaurant, faces changing requirements from hour to hour. More workers are needed for peak hours, and fewer are needed in between. The following table shows the worker requirement for the first 12 hours in the restaurant: Table 8. Staff Requirement at the Safe Zone Restaurant Time Period 10 11 12 1 PM|2 PM|3 PM|4 PM|5 PM|6 PM 7 PM|8 PM|9 PM АM | АM | РМ Requirement 7 Assigned On Duty Overstaffed 9 10 10 8 6 6. 8 8 12 12 8 a) You are required to apply the first-hour principle to staff each hour with the required number of cafeteria staff, showing how many staff are on duty each given hour, the number of staff you have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts. ii. Schedule the staff to work in 4-hour shifts. b) Indicate with at least one reason, which schedule would be more optimal from an Operations Scheduling perspective?William Beebe owns a small shoe store. He has 10 pairs of shoes that requireresoling and polishing. He has a machine that can resole one pair of shoes at atime, and the time required for the operation varies with the type and condition of theshoe and the type of sole that is used. Shoes are polished on a machine dedi-cated tothis purpose as well, and polishing is always done after resoling. His assistant generally does the polishing while Mr. Beebe does the resoling. The resoling and polishingtimes (in minutes) are Shoes Resoling Time Polishing Time1 14 32 28 13 12 24 6 55 10 106 14 67 4 128 25 89 15 510 10 5In what order should the shoes be repaired in order to minimize the total makespanfor these 10 jobs?A company is setting up an assembly line to produce 90 units per hour. The table below identifies the work elements, times, and immediate predecessors. Work Element Time (Sec.) Immediate Predecessor(s) A 25 - B 18 A C 20 A D 5 B, C E 12 C F 8 E G 16 D, F H 12 G Use one of the heuristic decision rules described in Table below to balance the assembly line so that it will produce 90 units per hour. Clearly state the decision rule you use and complete the below table using the selected rule. Decision Rule Logic Longest work element Picking the candidate with the longest time to complete is an effort to fit in the most difficult elements first, leaving the ones with short times to “fill out” the station. Shortest work element This rule is the opposite of the longest work element rule because it gives preference in workstation assignments to those work elements that are quicker. It can be tried…
- A building contractor has a contract which will expire in 30 days. He has 80 men on the job and can finish the job in 50 days. The wage per day of 40 men is P6.00 each and that of the other men is P4.00 each for 8 hours work per day. The fine or liquidated damages for delay in the work is P100.00 per day. How many more men should the contractor add in order to complete the work on time? Assuming that the additional men to be added will be paid P6.00 per day, will the contractor save money by employing enough men for him to complete the work on time or by not adding more men and paying the fine? How much is the savings, if any? No overtime work is permitted.A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. The tasks necessary to produce this product are: Task Time(secs) ImmediatePredecessor u 30 none v 30 u w 6 u x 12 w y 54 x z 30 v,y If the company wants the output rate to be equal to demand, what is the last task performed at the second workstation if tasks are assigned in order of the most following tasks?You are the owner of a business and must perform the work of ten clients during the day. It has four collaborators who are capable of carrying out the different jobs with the same level of quality. Depending on the skills of the different collaborators and the complexity of the jobs, the execution times are different and are presented in the following table: Client A B C D Arkitex 3 3 2 1 Bravia 3 3 4 3 Cúbika 4 5 6 4 Doratta 8 6 5 7 Evergreen 3 4 2 2 Fenix 5 6 3 4 Golden 3 3 1 4 Horizon 6 8 6 5 Icónika 5 5 5 5 Luxus 4 4 1 2 b) Now consider that each employee must carry out at least one job during the day. State and solve the problem throught excel solver
- You are the owner of a business and must perform the work of ten clients during the day. It has four collaborators who are capable of carrying out the different jobs with the same level of quality. Depending on the skills of the different collaborators and the complexity of the jobs, the execution times are different and are presented in the following table: Client A B C D Arkitex 3 3 2 1 Bravia 3 3 4 3 Cúbika 4 5 6 4 Doratta 8 6 5 7 Evergreen 3 4 2 2 Fenix 5 6 3 4 Golden 3 3 1 4 Horizon 6 8 6 5 Icónika 5 5 5 5 Luxus 4 4 1 2 Solve it through excel solver.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…The client of a project has requested the project team to crash 8 hours of time. The table below provides the necessary information about the possible project crashing. (a) What is the crash cost for 8 hours of time-savings?(b) Assume the team calls the client and asks for a project extension, reducing the amount of time they need to crash. The project team has a $20 crash budget. Is the budget sufficient to crash 4 hours of time?
- A manufacturer is designing a product layout for a new product production. It plans to use a production line for 8 hours per day in order to meet forecasted demand of 90 units per day. The product requires 7 tasks in total. These tasks are namely, A, B, C D E F and G respectively. Task A does not have any predecessor to start. To start Task B, it requires Task A to be completed, Starting tasks needs the task to be completed. Also starting task D, needed task B to be completed. Task E can only start upon completion of Task C. Whereas starting task F needs the completion of both the tasks D and E. Finally, starting task G needed, task F to be completed. The processing times for tasks, A, B, C, D, E, F. and G are 28.2.1,0.9, 10, 1.2.1.8 are 4.7 minutes respectively. How many minimum numbers of workstations are needed? a. 1 b. 6 c. None is correct d. 3 e. 5 please I neef answer along with the formula don't put it on excelThe final assembly requires 3 workers to complete. The first worker estimates 4 hours. The second worker’s estimate is 6 hours, and the third worker’s estimate is 5 hours. If 500 assemblies are needed, what are the total hours needed? How many hours are needed from the first worker to complete 500 assemblies? How many are needed from the second and third workers? If the 500 assemblies need to be completed in 5 working days (8 hours shifts), how many workers will be needed?A process improvement team is working to improve the production output at the Johnson Manufacturing plant’sHeader Cell that manufactures a key component, headers, used in commercial air conditioners. A header is partof the circulatory system of a commercial air conditioner that moves coolant between various components suchas the evaporator coil and the condenser coil. Currently, the header production cell is scheduled separately fromthe main work in the plant. Often, individual headers are not sequenced to match the product they go into on thefinal assembly line in a timely fashion, and so the product can sit in queue waiting for a header