Aa.16. f. Again, assume the firm has hired a fifth worker. The task assignments for the five workers are shown below. What is the capacity ofthis line now? (Round your final answer to two decimal places.)Worker12345CapacityWorker123g. Now assume the firm is using eight workers. The task assignments for the eight workers are shown below. What is the capacity ofthis line now? (Round your final answer to two decimal places.)5678Task(s)1,23,4,65,8,1079,11,12CapacityTask(s)1units per hour2,34,5678,910,1112units per hour Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (1.e., a machine-paced lineflow). Each worker must perform at least one task. There is unlimited demand.Task 1Task 2Task 3Task 4Task 5Task 6Task 7Task 8Task 9Task 10Task 11Task 12Direct labor contentThe current conveyor-paced assembly-line configuration assigns the workers in the following way:Worker 1: Tasks 1, 2, 3Worker 2: Tasks 4, 5, 6Worker 3: Tasks 7, 8, 9Worker 4: Tasks 10, 11, 12Show Transcribed TextLabor utilizationb. What is the direct labor content? (Round your final answer to one decimal place.)Flow Time12Time to CompleteTask (seconds)2020451015101540c. What is the average labor utilization (do not consider any transient effects such as the line being emptled before breaks or shiftchanges)? (Round your final answer to two decimal places.)Worker Task(s)1,23,4,56,71015201015d. How long would it take to produce 100 units, starting with an empty system? (Round your final answer to two decimal places.)Capacity8,910,11,12e. Assume the firm has hired a fifth worker. The task assignments for the five workers are shown below. What is the capacity of this linenow? (Round your final answer to two decimal places.)%hrsmin/unitunits per hour

Find the Given details below: Given details: Tasks Time to Complete(Sec) Task 1 20 Task 2…

Answered: Consider the following tasks that must…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter8: Evolutionary Solver: An Alternative Optimization Procedure

Section8.8: Optimal Permutation Models

Problem 17P

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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)?
Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8 per unit, respectively. The combined production of A and B must be at least 700 units per month. The factory is expected to produce at least 400 units of B and not more than 1200 units of A each month. The processing times for A and B are observed to be 5 hours and 4 hours, respectively. A total of 3000 production hours are available per month. Develop a linear program that Sunseel Industries can use to determine the number of units of each raw material to produce that will meet the demand and minimize the total cost.
Each robot takes up a square area of 10 feet aside. To the left and to the right of each robot along each side are areas for work-in-process inventory that are 6 feet wide x 10 feet long, with the long side adjacent to the robot space. Robots are arranged on an aisle that is 14 feet wide; the area in the plant for the robots is rectangular, 212 feet long, and includes 20 feet and each end for lift trucks. Lift trucks are used to move work–in–process inventory and must be able to get to the robots from aisles on both sides. Assuming that 20 robots are needed, determine the area for robots, inventory control, and material handling. The outgoing inventory pallets are 6 feet x 8 feet high, and they can be stacked thee high. Outgoing inventory is kept for a minimum of two days. In addition to access for lift trucks, determine the amount of storage space that must be provided for these pallets.
Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal, and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) I understand…
The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal, and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. a) Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) b) Minimize the…
PLease use excel Maintenance at a major theme park in central Florida is an ongoing process thatoccurs 24 hours a day. Because it is a long drive from most residential areas to thepark, employees do not like to work shifts of fewer than eight hours. These eighthour shifts start every four hours throughout the day. The number of maintenance workers needed at different times throughout the day varies. The following table summarizes the minimum number of employees needed in each four-hour time period. Time Period Needed Minimum Employees 12 a.m. – 4 a.m. 804 a.m. – 8 a.m. 2108 a.m. – 12 p.m. 24512 p.m. – 4 p.m. 1604 p.m. – 8 p.m. 2958 p.m. – 12 a.m. 120 The maintenance supervisor wants to determine the minimum number ofemployees to schedule that meets the minimum staffing requirements.1. Formulate the LP model for this problem.2. Create the spreadsheet model and use Solver to solve the…
A producer has three products, A, B, and C, which are composed from many of the same raw materials and subassemblies by the same skilled workforce. Each unit of product A uses 15 units of Raw Material X, one Purge System Subassembly, one Case, one Power Cord, three Labour Hours in the Assembly Department, and one Labour Hour in the Finishing Department. Each unit of product B uses 10 units of Raw Material X, five units of Raw Material Y, two Purge System Subassemblies, one Case, one Power cord, five Labour Hours in the Assembly Department, and 90 minutes in the Finishing Department. Each unit of product C uses five units of Raw Material X, 25 units of Raw Material Y, two Purge System Subassemblies, one Case, a Power Cord, seven Labour Hours in the Assembly Department, and Three Labour Hours in the Finishing Department. Labour between the Assembly and Finishing departments is not transferable, but workers within each department work on any of the three products. There are three…
A producer has three products, A, B, and C, which are composed from many of the same raw materials and subassemblies by the same skilled workforce. Each unit of product A uses 15 units of Raw Material X, one Purge System Subassembly, one Case, one Power Cord, three Labour Hours in the Assembly Department, and one Labour Hour in the Finishing Department. Each unit of product B uses 10 units of Raw Material X, five units of Raw Material Y, two Purge System Subassemblies, one Case, one Power cord, five Labour Hours in the Assembly Department, and 90 minutes in the Finishing Department. Each unit of product C uses five units of Raw Material X, 25 units of Raw Material Y, two Purge System Subassemblies, one Case, a Power Cord, seven Labour Hours in the Assembly Department, and Three Labour Hours in the Finishing Department. Labour between the Assembly and Finishing departments is not transferable, but workers within each department work on any of the three products. There are three…
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?
The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) Minimize the under and…
The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. a) Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) b) Minimize the under…
A manufacturing process has 12 workers and 6 stations. The process iscompleted in the order given below. Where there are multiple workers within a station,each worker works independently on his/her own unit. Assume inventory buffers areallowed between each station.Station Staffing Processing time (hoursper unit per worker)A 2 2.20B 1 1.25C 3 2.00D 2 2.60E 3 3.00F 1 0.75What is the maximum number of units per hour that can be produced? Assume they startthe day with inventory at each station to work on

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