Subject-advance maths The ABC Company is planning a new product line and a new plant to produce the parts for theline. The product line will include 8 different models. Annual production of each model isexpected to be 950 units. Each product will be assembled of 150 components. All processing ofparts will be accomplished in the new plant. On average, 8 processing operations are required toproduce each component, and each operation takes an average of 1 min (including an allowancefor setup time and part handling). All processing operations are performed at workstations, eachof which includes a production machine and a human worker. The plant operates one shift.Determine the number of:(a) components,(b) processing operations, and(c) workers that will be needed to accomplish the processing operations if each worker works2,000 hr/yr.

To determine the number of components, processing operations, and workers needed, we'll calculate…

Answered: of which includes a production machine…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

See similar textbooks

Similar questions

The ABC Company is planning a new product line and a new plant to produce the parts for the line. The product line will include 8 different models. Annual production of each model is expected to be 900 units. Each product will be assembled of 180 components. All processing of parts will be accomplished in the new plant. On average, 6 processing operations are required to produce each component, and each operation takes an average of 1 min (including an allowance for setup time and part handling). All processing opera-tions are performed at workstations, each of which includes a production machine and a human worker. The plant operates one shift. Determine the number of (a) components, (b) processing operations, and (c) workers that will be needed to accomplish the processing operations if each worker works 2,000 hr/yr.
A garment manufacturing has already finishedgarments to iron/press in order to prepare for selling them in the market. There aretwo kinds of garments, namely: poloshirt and t-shirts. Poloshirt is to be sold atP200 per piece while t-shirt at P50 each. Ironing/pressing one piece of polotshirttakes 30 minutes while t-shirt takes 12 minutes. The owner of the garment factoryhas a total of 7 finishing workers, who each works 8 hours per day. Four (4) ofwhich are assigned as pressers and three (3) as packagers. For one day, theowner would like to maximize his profit.Using linear programming, determine how many pieces of poloshirts and howmany pieces of t-shirts should be sold in the market in day in order to maximizethe profit. In line with your answer on the number of pieces of poloshirts andnumber of pieces of t-shirts to be sold in the market, compute for the profit.Select the best answer from the choices enumerated below.You may use linear equations and/or inequalities to arrive at the…
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?
2-The process of making hotdogs involves six activities: “grind”, “mix”, “stuff”, “cook”, “peel”, and “inspect”. If the capacity of activity “cook” determines the process capacity, which of the following statements are true? a- Activity “cook” is a bottleneck activity. b- The activity time of all the other five activities is shorter than activity "cook". c- Cycle time of the process of making hotdogs is equal=1/capacity of activity “cook”. d- Increasing the capacity of activity “grind” can increase the capacity of the process of making hotdogs. All statements are correct Only statement 'b' is correct Only statements 'a' and 'b' are correct Only statements 'a', 'b' and 'c' are correct Only statement 'a' is correct Only statement 'd' is correct
An order for 100 of a product is processed on operation A and operation B. The setuptime on A is 50 minutes, and the run time per piece is 9 minutes. The setup time onB is 30 minutes, and the run time is 6 minutes per piece. It takes 20 minutes to movea lot between A and B. Since this is a rush order, it is given top priority (president’sedict) and is run as soon as it arrives at either workstation.It is decided to overlap the two operations and to split the lot of 100 into two lotsof 60 and 40. When the first lot is finished on operation A, it is moved to operation Bwhere it is set up and run. Meanwhile, operation A completes the balance of the 100units (40) and sends the units over to operation B. These 40 units should arrive asoperation B is completing the first batch of 60; thus, operation B can continue withoutinterruption until all 100 are completed.a. Calculate the total manufacturing lead time for operation A and for B withoutoverlapping.b. Calculate the manufacturing lead time…
A product is completed when 18 tasks are done. These tasks are assigned to 6 workstations (each workstation handling several tasks) in an assembly line set up. All workstations work the same amount of time (= cycle time), and move the (partial) product to the next workstation, and repeat this process. The last workstation generates the finished product. We need 1200 units made every day (= 8 hours). If we run this line with a cycle time of 0.3 minutes, what is the most amount of work (in minutes) that can be done on this product? (Give the answer with one decimal place)
An assembly line has 10 serial stations with process times of 1, 2, 3, 4,..., 10 respectively. The process time of the system is: a) 550% of its process cycle time. b) 18.18% of its process cycle time. c) 50% of its process cycle time. d) 100% of its process cycle time.
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.
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…
An assembly line for inkjet printers is composed of 8 persons performing different tasks. Compute forthe cycle time if the line has an 8-hour shift and requires 95 units to be finished in one shift.
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.
Bill builds benches in a small shop and he plans to operate five 8-hour days perweek. Each bench has two ends and a top. It takes 5 minutes to cut and sand eachend and 2 minutes to make each top. Assembly requires 8 minutes per bench, andpainting requires 5 minutes per bench. Bill has one employee who makes the topsand ends. Bill will do the final assembly and painting. He also plans 1 hour per dayfor setup and teardown for each department.a. How many benches should he plan to build per week?b. How many hours per week are required for each person?c. Suggest ways to increase the number of benches produced per week

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

of which includes a production machine and a human worker. The plant operates one shift. Determine the number of: (a) components, (b) processing operations, and (c) workers that will be needed to accomplish the processing operations if each worker works 2,000 hr/yr.