Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 6, Problem 3PA
Summary Introduction
To determine: The shape of the learning curve for the given information.
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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 growth
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 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.
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- 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_forwardAcme Batteries is introducing a new line of batteries for electric vehicles. The first battery cell costs $120 with a learning rate of 0.80. How much does the 100th battery cost? Create an Excel spreadsheet based on the model in part a, change the number of units and compute the cost per cell repeatedly to experimentally determine at what number of units of production the cost comes down to $8 per battery cell. Copy and paste a screenshot of the spreadsheet below. Provide an explanation. All info is included.arrow_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_forward
- . A lower learning rate corresponds to a steeper slope in a log-log graph of the learningcurve. True or false?a. Trueb. Falsearrow_forwardThe cumulative average labor cost per unit for the first batch (of 100 units) produced using a new process is P200. The cumulative average labor cost after the second batch is P140.Assuming that the learning curve continues, the cumulative (total) labor cost of eight batches is P80,000 P56,000 P39,200 P54,880arrow_forward. The power law describes a learning process with exponential growth in performance.True or false?a. Trueb. Falsearrow_forward
- A 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_forwardNUBD, 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_forwardWhich of the following statements is correct for a 60% learning rate? Every time our experience doubles, the time required is cut in half. Every time our experience doubles, the time required doubles. We save 60% of the time required every time our experience doubles. Every time our experience doubles, we save 40% of the time required. When 60% of the time required passes, our experience has doubled.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_forwardLazer Technologies Incorporated (LTI) has produced a total of 20 high-power laser systems that could be used to destroy any approaching enemy missiles or aircraft. The 20 units have been produced, funded in part as private research within the research and development arm of LTI, but the bulk of the funding came from a contract with the U.S. Department of Defense (DoD). Testing of the laser units has shown that they are effective defense weapons, and through redesign to add portability and easier field maintenance, the units could be truck-mounted. DoD has asked LTI to submit a bid for 100 units. The 20 units that LTI has built so far cost the following amounts and are listed in the order in which they were produced: Use Exhibit 4A 5 and Exhibit 4A.6. UNIT COST HUMBER (5 MILLIONS) 10 $12.0 10.0 6.0 6.5 5.0 6.0 5.0 3.6 4.1 Learning rate UNIT COST NUMBER (S MILLIONS) 11 12 13 14 15 16 17. 18 % 19 20 $3.9 3.5 3.0 2.8 2.7 2.7 a. Based on past experience, what is the learning rate? Note: Do…arrow_forwardA 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_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