The Farm-4-Less tractor company produces a grain combine (GC) in addition to both a large (LT) and small size tractor (SM). Its production manager desires to produce to customer demand using a mixed-model production line. The current sequence of production, which is repeated 30 times during a shift, is SM-GC-SM-LT-SM-GC-LT-SM. A new machine isproduced every 2 minutes. The plant operates two 8-hour shifts. There is no downtime because the 4 hours between each shift are dedicated to maintenance and restocking raw material. Based on this information, answer the following questions.a. How long does it take the production cycle to be completed?b. How many of each type of machine does Farm-4-Less produce in a shift?

The Farm-4-Less tractor company produces a grain combine (GC) in addition to both a large (LT) and small size tractor (SM). Its production manager desires to produce to customer demand using a mixed-model production line. The current sequence of production, which is repeated 30 times during a shift, is SM-GC-SM-LT-SM-GC-LT-SM. A new machine isproduced every 2 minutes. The plant operates two 8-hour shifts. There is no downtime because the 4 hours between each shift are dedicated to maintenance and restocking raw material. Based on this information, answer the following questions.a. How long does it take the production cycle to be completed?b. How many of each type of machine does Farm-4-Less produce in a shift?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 37P

See similar textbooks

Similar questions

The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir-fry. Customers have only one choice during the lunch hour so that Y&Y can maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size: one unit of stir-fry. The stir-fry cooking works in this manner. First, one person cooks a batch of orders in a wok. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3 minutes. For each additional order in the batch, it takes 0.5 minute more to cook. Thus, cooking two orders in a batch takes 3.5 minutes, cooking three orders takes 4 minutes, and so on. The other process is bagging and accepting payments (done by a separate person), which takes 0.80 minute per order. if Yum and Yee operates with a batch size of 10 units, what is the ultilization of the work (assume there is ample demand)?…
The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir-fry. Customers have only one choice during the lunch hour so that Y&Y can maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size: one unit of stir-fry. The stir-fry cooking works in this manner. First, one person cooks a batch of orders in a wok. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3 minutes. For each additional order in the batch, it takes 0.5 minute more to cook. Thus, cooking two orders in a batch takes 3.5 minutes, cooking three orders takes 4 minutes, and so on. The other process is bagging and accepting payments (done by a separate person), which takes 0.80 minute per order. What is the setup time of this process? answer:_______minutes
The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir-fry. Customers have only one choice during the lunch hour so that Y&Y can maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size: one unit of stir-fry. The stir-fry cooking works in this manner. First, one person cooks a batch of orders in a wok. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3.1 minutes. For each additional order in the batch, it takes 0.6 minute more to cook. Thus, cooking two orders in a batch takes 3.7 minutes, cooking three orders takes 4.3 minutes, and so on. The other process is bagging and accepting payments (done by a separate person), which takes 0.9 minute per order. The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches…
The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir-fry. Customers have only one choice during the lunch hour so that Y&Y can maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size: one unit of stir-fry. The stir-fry cooking works in this manner. First, one person cooks a batch of orders in a wok. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3 minutes. For each additional order in the batch, it takes 0.5 minute more to cook. Thus, cooking two orders in a batch takes 3.5 minutes, cooking three orders takes 4 minutes, and so on. The other process is bagging and accepting payments (done by a separate person), which takes 0.80 minute per order. Calculate the batch size (in orders) that maximizes the overall flow rate (assume there is ample demand)? answer________batch size
The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir-fry. Customers have only one choice during the lunch hour so that Y&Y can maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size: one unit of stir-fry. The stir-fry cooking works in this manner. First, one person cooks a batch of orders in a wok. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3 minutes. For each additional order in the batch, it takes 0.5 minute more to cook. Thus, cooking two orders in a batch takes 3.5 minutes, cooking three orders takes 4 minutes, and so on. The other process is bagging and accepting payments (done by a separate person), which takes 0.80 minute per order. If Y&Y operates with batch sizes of 6 units, what is their process capacity (in orders per minute)? answer:_________orders per…
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.
A Company produces a component for use in the aerospace industry. The component consists of three parts (A, B and C), which are purchased externally and cost 50c, 60c and 70c per piece respectively. Parts A and B are assembled first on assembly line 1, which produces 150 components per hour. Part C undergoes a drilling operation before being finally assembled with the output from assembly line 1. There are six drilling machines in total, but only three are currently operational. Each drilling machine drills part C at a rate of 30 parts per hour. The final assembly line has a production capacity of 100 components per hour. At present, components are produced eight hours a day, five days a week. If the need arises, management can add a second shift of eight hours for the assembly lines only. The cost of assembly labour is 40c per assembly operation for each assembly line; the cost of drilling labour is 20c per part. For drilling, the cost of electricity is 10c per part. The overhead cost…
The magnetic resonance imaging (MRI) unit of St Francis hospital has 2 MRI machines and sees two kinds of patients, "regular" patients and "contrast" patients. The regular patients don't need any special preparation before imaging but the contrast patients receive an injection of "dye" that enables the physicians to see the images more clearly. Regular patients require 15 minutes in an MRI machine whereas contrast patients take on average 25 minutes in an MRI machine. Over an 8-hour day, the MRI unit receives an average of 25 regular patients and 5 contrast patients. (a) What is the implied utilization (as a %) of the MRI unit? % (b) What are the actual and maximum flow rates through the MRI (patients per day)? regular contrast Actual flow rates Max flow rates.
The magnetic resonance imaging (MRI) unit of St Francis hospital has 2 MRI machines and sees two kinds of patients, “regular” patients and “contrast” patients. The regular patients don’t need any special preparation before imaging but the contrast patients receive an injection of “dye” that enables the physicians to see the images more clearly. Regular patients require 15 minutes in an MRI machine whereas contrast patients take on average 25 minutes in an MRI machine. Over an 8-hour day, the MRI unit receives an average of 25 regular patients and 5 contrast patients. Convert the demand and capacity into "hours of work per day" to answer the following questions: (a) What is the implied utilization (as a %) of the MRI unit? % (Round your answer to whole number) Hint: First calculate the demand in hours of work per day: If there are 5 Contrast patients per day and each Contrast patient takes 25 minutes to 'process', how many 'minutes of work' are demanded every day from…
A Printed Circuit Board (PCB) machine installs integrated circuits onto a board. Before starting to produce a board, the PCB machine requires a 16-minute setup. Once in production, the PCB machine requires only 0.19 minute per board. a. Currently, the PCB machine produces 525 boards between setups. Given this operating process, what is the capacity of the PCB machine (in boards per min)? b. Currently, the PCB machine produces 525 boards between setups. Given this operating process, what is the utilization of the PCB machine? c. Say the PCB machine produces 400 boards s between setups and demand is 2 boards per minute. Given the operating process, what is the avergae inventory of boards anf the PCB machine? d. Demand for boards occurs at the rate of 2 boards per minute. What is the smallest batch size such that the PCB machine does not constrain the flow rate through the process?
The seasonal yield of olives in a Piraeus, Greece, vineyard is greatly influenced by a process of branch pruning. If olive trees are pruned every two weeks, output is increased. The pruning process, however, requires considerably more labor than permitting the olives to grow on their own and results in a smaller size olive. It also, though, permits olive trees to be spaced closer together. The yield of 1 barrel of olives by pruning requires 5 hours of labor and 1 acre of land. The production of a barrel of olives by the normal process requires only 2 labor hours but takes 2 acres of land. An olive grower has 250 hours of labor available and a total of 150 acres for growing. Because of the olive size difference, a barrel of olives produced on pruned trees sells for $20, whereas a barrel of regular olives has a market price of $30. The grower has determined that because of uncertain demand, no more than 40 barrels of pruned olives should be produced. Use graphical LP to find (a) the…
A company manufactures clay bricks in batches. A batch consists of 200 bricks. The manager reports that his weekly production target is 1500 bricks. Each brick has to be processed through 5 machines on average. It takes on average 30 minutes to set up the machines and the average operation time is 6 minutes. There are 10 machines in the plant. Calculate the manufacturing lead time if the average non-operation time is 2 hrs. Calculate the production rate and If the plant operates 70 hours per week, calculate the production capacity Calculate the Production Capacity if the machines are only available for 85% of the time. Will the manager be able to meet his production target? Justify your answer.