RUMSTAD
Please type your work in Microsoft Word.
Given that the clew website is not available, assignments are to be collected at the beginning of the class on Wednesday, October 09, 2013. Late assignments are not accepted.
This assignment is designed to be individual. Identical assignments will not be graded and automatically assigned a grade of zero.
1. (10 points) You have collected the processing time for five units of Product X at different points in time and the relevant data are shown in the following table:
Unit Number
Time (Hours)
3
11.25
12
9.05
32
7.02
56
6.1
80
5.2
a. Construct a scatter diagram showing the hours against the unit numbers. Is the relationship between hours and unit numbers linear or non-linear?
b. Construct a scatter diagram showing the ln(hours) against the ln(unit numbers). Comment on whether the relationship between ln(hours) and ln(unit numbers) is linear or non-linear.
c. Using the linear regression method to derive the learning curve function (Please show your work by using the formulas in Lesson 02). What is the rate of learning (or learning curve percentage)?
d. Based on the learning curve obtained from part c, estimate the time that would take you to produce the 150th unit?
2. (4 points) Professor Cook teaches Operations Management at an Ontario University. She is scheduled to give her class of 55 students a final exam on the last day of the exam week, and she is leaving town the same day. She is concerned about her ability to finish grading her exams. She estimates that with everything else she has to do she has only six hours to grade the exams. From past experience, she knows that the first exam will take her about 10 minutes to grade. She estimate that her learning curve to be 85%, and it will be fully realized after 10 exams (i.e., improvement will not be possible any more). Will she be able to get the exams graded before her departure? Please show your work to support your conclusion.
3.
Given that the clew website is not available, assignments are to be collected at the beginning of the class on Wednesday, October 09, 2013. Late assignments are not accepted.
This assignment is designed to be individual. Identical assignments will not be graded and automatically assigned a grade of zero.
1. (10 points) You have collected the processing time for five units of Product X at different points in time and the relevant data are shown in the following table:
Unit Number
Time (Hours)
3
11.25
12
9.05
32
7.02
56
6.1
80
5.2
a. Construct a scatter diagram showing the hours against the unit numbers. Is the relationship between hours and unit numbers linear or non-linear?
b. Construct a scatter diagram showing the ln(hours) against the ln(unit numbers). Comment on whether the relationship between ln(hours) and ln(unit numbers) is linear or non-linear.
c. Using the linear regression method to derive the learning curve function (Please show your work by using the formulas in Lesson 02). What is the rate of learning (or learning curve percentage)?
d. Based on the learning curve obtained from part c, estimate the time that would take you to produce the 150th unit?
2. (4 points) Professor Cook teaches Operations Management at an Ontario University. She is scheduled to give her class of 55 students a final exam on the last day of the exam week, and she is leaving town the same day. She is concerned about her ability to finish grading her exams. She estimates that with everything else she has to do she has only six hours to grade the exams. From past experience, she knows that the first exam will take her about 10 minutes to grade. She estimate that her learning curve to be 85%, and it will be fully realized after 10 exams (i.e., improvement will not be possible any more). Will she be able to get the exams graded before her departure? Please show your work to support your conclusion.
3.