Please answer with explanation.I will really upvote Video One, a Blu-ray disc player manufacturer, produces two models of Blu-ray players. The mini-blue, which can only play a Blu-ray disc, and the media-blue that plays Blu-ray disc and contains apersonal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 2units of the mini-blue model and 11 units of the media-blue model per hour, and Line 2 canassemble 4 units of the mini-blue model and 8 units of the media-blue model per hour. Thecompany needs to produce at least 32 units of the mini-blue model and 120 units of the media-bluemodel to fill an order.Let x = the number of hours for Line 1 to operate.Let y = the number of hours for Line 2 to operate.Write the system of inequalities:Mini-blue:> 32Media-blue:> 120Graph the feasible region for this system of inequalities.Note: To get the correct feasible region, you need to also include the non-negative constraints onyour graph (x > 0 and y > 0). These will give you boundary lines on the x-axis and y-axis.

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Answered: Video One, a Blu-ray disc player…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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Consider an assembly line with a single shift per day and each shift runs 8 hours with 2 tea breaks that each tea break takes 12 minutes, and 20 minutes lunch break. The downtime and ideal cycle time are 45 minutes and 1.2 seconds respectively. The total produced items and reject items are 18,570 and 455 respectively. Calculate the OEE.
Jason Carter works for a producer of soaps that come inpackages of 6 each. His job is to fi ll the packages with soap, andhe is expected to process 30 packages an hour. Th e facility whereJason works uses a kanban production system in which eachcontainer holds 5 packages of soap. It takes 20 minutes to receivethe packages he needs from the previous workstation. How manykanbans are needed for the fi lling process?
The trim line at PW is a small subassembly line that, along with other such lines, feeds into the final chassis line. The entire assembly line, which consists of more than 900 workstations, is to make PW’s new E cars. The trim line itself involves only 13 work elements and must handle 20 cars per hour. Work-element data are as follows Work Element Time (Sec) Immediate Predecessor(s) A 2.4 None B 0.5 None C 2.1 None D 1.8 C E 1.1 B F 0.9 A G 2 A H 0.7 F I 0.7 D J…
Furniture Face Lift refinishes old wood furniture. Their process for refinishing chairs has 9 workers and 4 stations. Each chair starts at the Stripping station, then goes to Priming, then to Painting and finally to Inspection. Where there are multiple workers within a station, each worker works independently on his/her own chair. Assume inventory buffers are allowed between each station. Station Staffing Processing time (hours per chair per worker) Stripping 3 2.5 Priming 2 1.5 Painting 3 1.75 Inspection 1 0.8 A truck loaded with 10 chairs arrives. How many hours will it take them to complete these 10 chairs?(The accuracy should be of two digits after the decimal places.)
The trim line at PW is a small subassembly line that, along with other such lines, feeds into the final chassis line. The entire assembly line, which consists of more than 900 workstations, is to make PW’s new E cars. The trim line itself involves only 13 work elements and must handle 20 cars per hour. Work-element data are as follows: Work Element Time (Sec) Immediate Predecessor(s) A B C DE F G H I J K L M 1.8 0.4 1.6 1.5 0.7 0.5 0.8 1.4 1.4 1.4 0.5 1.0 0.8 None None None A A E B C D F,G H J I,K,L a. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired output rate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance the line and calculate the efficiency of your solution.e. Use the most followers work element decision rule to balance the line and calculate the efficiency of your solution.
In a large microelectronics plant, the assembly cell for circuitboards has a demand for 200 units an hour. Two feeder cellssupply parts A and B to the assembly cell (one A and one Bfor each board). Standard containers that look like dividedtrays are used. A container will hold 20 As or 10 Bs. It takes10 minutes to fill up a container with As and 20 minutes tofill up a container with Bs. Transit time to the assembly cell is5 minutes for both A and B. No safety factor is used. Set up akanban control system for the assembly process.
Parent S requires three of component T and two of component U. Both T and Uare run on work center 30. Setup time for T is 7 hours, and run time is 0.1 hour perpiece. For component U, setup time is 8 hours, and run time is 0.2 hour per piece. Ifthe rated capacity of the work center is 120 hours, how many Ts and Us should beproduced in a week?
A furniture factory makes two types of wooden tables,large and small. See the flowchart below.SetupTime,MinutesRun Timeper Piece,MinutesCapacity,Piecesper HourWood cutting 30 5 15Make four legs 60 10 10Make tops 60 12 8Finish the wood 20 8 12Assemble and ship 20 17 14 Small tables are made in batches of 100, and large tables are made in batches of 50. A batch includes a fixed setup time for the entire batch at each process step and a run time for each piece in the batch. Both large and small tables have the same processing times. The capacities of each process step are given, and apply to production of either type of table, as shown in the flowchart.a. What is the capacity of the system, and what is the bottleneck?b. What are the throughput times for batches of large and small tables?c. When producing at a rate of six small tables per hour on average, how many tables will be in the system?
The trim line at PW is a small subassembly line that, alongwith other such lines, feeds int1, o the final chassis line.The entire assembly line, which consists of more than 900workstations, is to make PW’s new E cars. The trim line itselfinvolves only 13 work elements and must handle 20 cars perhour. Work-element data are as follows:Work Element Time (Sec) Immediate Predecessor(s)A 2.4 NoneB 0.5 NoneC 2.1 NoneD 1.8 CE 1.1 BF 0.9 A G 2 AH 0.7 FI 0.7 DJ 1.8 H, EK 1.3 JL 1.9 GM 1.1 L, I, Ka. Draw a precedence diagram.b. What cycle time (in minutes) results in the desired outputrate?c. What is the theoretical minimum number of stations?d. Use the longest work element decision rule to balance theline and calculate the efficiency of your solution.e. Use the most followers work element decision rule tobalance the line and calculate the efficiency of yoursolution.
XYZ company provides labor and space for the manufacturing and assembly operations and stocking various inventory items for production such as wire, cables, some electronic components, etc. XYZ company orders a variety of components and raw materials by contract. The company recently hired 100 part-time employees working four to six-hour shifts. Skilled employees must do several raw material conversions for packaging—there are currently three (3) such employees. The plant layout is a typical process layout - machines of similar types are located together. Each machine and employee must be scheduled over the day and the standard time period for planning is one (1) hour. Material handling is mainly done manually, although the company would like to consider conveyors or other automation to aid in automating their processes. XYZ company forecasts planned production for two (2) years on a rolling quarterly basis. Often, the customer changes the forecast, and these changes can occur as…
A final assembly plant for a certain automobile model is to have a capacity of 240,000 units annually. The plant will operate 50 weeks/yr, two shifts/day, 5 days/week, and 8.0 hours/shift. It will be divided into three departments: (1) Body shop, (2) paint shop, (3) trim-chassis-final department. The body shop welds the car bodies using robots, and the paint shop coats the bodies. Both of these departments are highly automated. Trim-chassis-final has no automation. There are 15.5 hours of direct labor content on each car in this department, where cars are moved by a continuous conveyor. Determine: (a) Hourly production rate of the plant, (b) number of workers and workstations required in trim-chassis-final if no automated stations are used, the average manning level is 2.5, balancing efficiency = 93%, proportion uptime = 95%, and a repositioning time of 0.15 min is allowed for each worker.
The Goodparts Company produces a component that is subsequently used in the aerospace industry. The component consists of three parts (A, B, and C) that are purchased from outside and cost 35, 30, and 10 cents per piece, respectively. Parts A and B are assembled first on assembly line 1, which produces 185 components per hour. Part C undergoes a drilling operation before being finally assembled with the output from assembly line 1. There are, in total, six drilling machines, but at present only three of them are operational. Each drilling machine drills part C at a rate of 80 parts per hour. In the final assembly, the output from assembly line 1 is assembled with the drilled part C. The final assembly line produces at a rate of 205 components per hour. At present, components are produced eight hours a day and five days a week. Management believes that if the need arises, it can add a second shift of eight hours for the assembly lines. The cost of assembly labor is 30 cents per part for…

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