OPERATION MANAGEMENT
2nd Edition
ISBN: 9781260242423
Author: CACHON
Publisher: MCG
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Chapter 6, Problem 6PA
Summary Introduction
To determine: The reduction in the processing time.
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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?
Hanna’s Super Service Burgers and Fries fast-food restaurant trains its new employees (all of which are part-time)for three days to assemble its different burgers. The mosttime-consuming item to assemble is the Super MegaBurger because it includes a lot of ingredients. After threedays of training, an employee can assemble his or her firstMega-Burger as a regular employee in an average of 126seconds. The learning curve for this assembly operation isestimated to be 85%, and no additional learning will takeplace after assembly of the eightieth Mega-Burger. Determine how many seconds will be required for an employeeto assemble his or her eightieth Mega-Burger.
A large grocery corporation has developed the following schedule for converting frozen food display cases to use CFC-free refrigerants:
Week
Unit
1
20
2
65
3
100
4
140
5
120
Historically, the learning rate has been 90% on such projects. The budget allows for a maximum of 40 direct labor employees per week and a total of 8,000 direct labor hours for the entire schedule. Assuming 40 work hours per week. If the first unit took 30 hours to convert, is this schedule feasible? If not, how can it be altered? Will additional cost involved in altering it?
Chapter 6 Solutions
OPERATION 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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- The fifth unit of a 10-unit job took five hours to complete. The sixth unit has been worked on fortwo hours, but is not yet finished. Estimate the additional amount of time needed to finish the10-unit job if the work has a 75 percent learning ratearrow_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 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
- Cumulative 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_forwardRecall 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.arrow_forwardAn aircraft company has an order to refurbish the interiors of 18 jet aircraft. The work has a learning curve percentage of 80. On the basis of experience with similar jobs, the industrial engineering department estimates that the first plan will require 300 hours to refurbish. Estimate the amount of time needed to complete: The 5th plane, The first 5 planes, All 18 planes. For a, use logarithmic approach formula, for b and c, use learningcurve approach formula.arrow_forward
- I submitted this question for answering yesterday,but I can't figure out how the learning rate was calculated as =70%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_forwardA large grocery corporation has developed the following schedule for converting frozen food display cases to use CFC-free refrigerant:Week Units1 202 653 1004 1405 120Historically, the learning rate has been 90 percent on such projects. The budget allows for a maximum of 40 direct labor employees per week and a total of 8,000 direct labor hours for the entire schedule. Assume 40 work hours per week. If the first unit took 30 hours to convert, is this schedule feasible? If not, how can it be altered? Are additional costs involved in altering it?arrow_forward
- Which kind of device is probably more likely to have one highly automated or labor intensive learning rate with a mostly highly automated equipment?arrow_forwardMaxera Corporation has designed a new video game controller. It took the company 52 minutes to produce the first unit. If the company uses a 75% learning rate for this task, how long should it take the company to produce the 6th unit? the 18th unit? the 30th unit? the first 6 units? the first 18 units? the first 30 units? the units 7th through 18th? the units 19th through 30th?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_forward
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