Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 6, Problem 2PA
Summary Introduction
To determine: The shape of the learning curve for the given information.
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Consider the trajectory showing the percentage of customer orders in a restaurant thatwere handled correctly. What shape would a learning curve have in this setting?a. Exponential growthb. Exponential decayc. Diminishing return growth
Recall from the lecture that the functional form for a learning curve (LC) is y = axb where y is time to produce the most recent unit and x is the cumulative production. Here, the coefficient a is the time required to produce the first unit. The exponent (b), which is negative value, represents the learning rate. Consider a production system that needs to produce its main product based on 75% learning curve. It was measured that it took 180 minutes to produce the first unit from this production system.
A. How much time would it take to produce the 20th unit? Show your work.
B. Suppose the 20th unit was just produced and customer placed order of 10 more units. How much time would it take to produce those 10 more units? Use definite integral method with adjusted range. Show your work.
C. What is the production rate for producing 10 units in the above question (#1.B) in the dimension of [parts/hour]? Show your work.
Consider the trajectory showing the number of photos that can be stored on a smartphone. What shape would a learning curve have in this setting?a. Exponential growthb. Exponential decayc. Diminishing return growth
Chapter 6 Solutions
Operations Management
Ch. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - A learning curve following the power law has what...Ch. 6 - Prob. 9CQCh. 6 - Prob. 10CQ
Ch. 6 - Prob. 11CQCh. 6 - The learning curve coefficient LCC(10, 0.8)...Ch. 6 - Prob. 13CQCh. 6 - Instead of using the learning curve coefficient...Ch. 6 - Prob. 15CQCh. 6 - Prob. 16CQCh. 6 - Prob. 17CQCh. 6 - Prob. 18CQCh. 6 - Prob. 19CQCh. 6 - Prob. 20CQCh. 6 - Prob. 21CQCh. 6 - Prob. 22CQCh. 6 - Prob. 23CQCh. 6 - Prob. 24CQCh. 6 - Prob. 25CQCh. 6 - Prob. 1PACh. 6 - Prob. 2PACh. 6 - Prob. 3PACh. 6 - Prob. 4PACh. 6 - Prob. 5PACh. 6 - Prob. 6PACh. 6 - Prob. 7PACh. 6 - Prob. 8PACh. 6 - Prob. 9PACh. 6 - Prob. 10PACh. 6 - A company has 2200 employees, on average, and it...Ch. 6 - Prob. 12PACh. 6 - Prob. 13PACh. 6 - Prob. 14PACh. 6 - In October 1908, just prior to the launch of his...Ch. 6 - Prob. 2CCh. 6 - Prob. 3C
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- Consider the trajectory showing the percentage of patients with depression that were notappropriately screened for suicide risk. A doctor’s practice aims to reduce this percentage over time. What shape would a learning curve have in this setting?a. Exponential growthb. Exponential decayc. Diminishing return growtharrow_forwardConsider the trajectory showing the percentage of patient records entered correctly intoa computer by a typist. What shape would a learning curve have in this setting?a. Exponential growthb. Exponential decayc. Diminishing return growtharrow_forwardThe personnel manager of Powerwest Inc. wants to estimate the direct and cumulative average direct labor hours for producing 30 locomotive train units during the next year. He estimates from past experience that the learning rate is 90 percent. The production department estimate that manufacturing the first unit will take 30,000 hours. Each employee averages 200 hours per month. The production rate forecast is as follows: Month Production Rate (units) Month Production Rate (units) January 2 July 2 February 3 August 4 March 2 September 3 April 4 October 3 May 3 November 1 June 2 December 1 Show/explain step by step, so I fully understand the process. How many direct hours are required to produce the 30th unit? How many total hours are needed to produce all 30 units? What is the maximum number of employees required next year? If the learning rate were to change to 0.85, what would be the impact on the total hours…arrow_forward
- Assume a learning curve following the power law. If you double the initial cost c(1) of aproduct, the cost of the 21st unit, c(21), will:a. stay the same.b. be reduced by 50 percent.c. be doubled.d. increase by a factor of ln(2).arrow_forwardA company implements a new process to manufacture its product and uses 100 hours to complete one unit. It expects that the new process will be subject to an 80% learning curve. If the company assumes the learning curve will follow the cumulative average-time learning model, what is the time required to produce the second batch? 90 hours 80 hours 60 hours 160 hoursarrow_forwardThe learning curve phenomenon has been shown in practice to be widely applicable. Once a company has established a learning rate for a process, they can use it to predict future system performance. Would there be any reason to reevaluate the process’s learning rate once it has been initially established?arrow_forward
- NUBD, is beginning the production of a new product. Management believes that 500 labor hours will be required to complete the new unit. An 85 percent incremental unit-time learning curve model for direct labor hours is assumed to be valid. Assume the q = -0.2345. What is the total hours for 3 units?arrow_forwardA manufacturer of diesel locomotives needs 50,000 hours to produce the first unit. Based on past experience with similar products, the rate of learning is 80 percent. a. Use the logarithmic model to estimate the direct labor required for the 40th diesel locomotive and the cumulative average number of labor hours per unit for the first 40 units. b. Draw a learning curve for this situation.arrow_forwardThe personnel manager of Powerwest Inc. want to estimate the direct and cumulative average direct labor hours for producing 30 locomotive train units during then next year. He estimates from past experience that the learning rate is 90 percent. The production department estimate that manufacturing the first unit will take 30,000 hours. Each employee average 200 hours per month. The production rate forecast is as follows: Month Production Rate (units) Month Production Rate (units) January 2 July 2 February 3 August 4 March 2 September 3 April 4 October 3 May 3 November 1 June 2 December 1 How many direct hours are required to produce the 30th unit? How many total hours are needed to produce all 30 units? What is the maximum number of employees required next year? If the learning rate were to change to 0.85, what would be the impact on the total hours and the number of employees needed to product 30 units?arrow_forward
- The power law can be used to represent a common form of a learning curve that uses __________ as a dependent variable and __________ as the independent? variable?arrow_forwardA learning curve of 80% assumes that production unit costs are reduced by 20% for each doubling of output. What is the cost of the sixteenth unit produced as an approximate percent of the first unit produced? 30% 51% 40.96% 64%arrow_forwardFirm A typically sees a learning percentage of 85 percent in its processes. Firm B has a learning percentage of 80 percent. Which firm has the faster learning rate?arrow_forward
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Process selection and facility layout; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=wjxS79880MM;License: Standard YouTube License, CC-BY