Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 6, Problem 1PA
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.
Suppose a manufacturer of copiers has concluded that a 70 percent learning curve applies to the time a beginning service technician takes to install copy machines. Use the Learning Curve Excel template to answer the following questions:
If the time required to install the first copy machine is estimated to be five hours, what is an estimate of the time required by a new technician to install the second and third copiers? Round your answers to one decimal place.
For x = 2 it takes hours
For x = 3 it takes hours
If the learning rate changes to 65 or 95 percent, what is an estimate of the time required by a new technician to install the second and third copiers? Round your answers to one decimal place.
For x = 2 and a 65% LC, it takes hours
For x = 3 and a 65% LC, it takes hours
For x = 2 and a 95% LC, it takes hours
For x = 3 and a 95% LC, it takes hours
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 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 growtharrow_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. 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
- Consider 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_forwardConsider 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_forwardCompany, 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_forward
- The 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_forwardConsider two processes, A and B, with an initial cost of c(1) = 20. Process A has alearning rate of LR = 0.95 and process B has a learning rate of LR = 0.8. After 20 units:a. process A is cheaper.b. process B is cheaper.c. the two processes will have the same cost.d. cannot be determined from the given informationarrow_forwardAssume 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_forward
- A learning curve of 80% assumes that direct labor costs are reduced by 25% for each doubling of output. What is the cost of the sixteenth unit produced?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_forwardCumulative Average-Time Learning CurvePohlman Company makes aircraft engines. Pohlman has noticed that, in general, each new engine design is subject to an 80 percent learning rate. Assume that the first unit produced takes500 hours, and direct labor is paid an average of $30 per hour. Required:1. Set up a table with columns showing: the cumulative number of units, cumulative average time per unit in hours, and cumulative total time in hours. Show results by row for total pro-duction of: one engine, two engines, four engines, eight engines, sixteen engines, and thirty-two engines. (Round hour answers to two significant digits.) 2. What is the total labor cost if Pohlman manufactures the following number of engines: one,four, or sixteen? What is the average cost per engine for the following number of engines:one, four, or sixteen? (Round your answers to the nearest dollar.)3. What if Pohlman is preparing a bid to build 16 engines? Calculate budgeted labor cost for anengine design which…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