Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 11.6, Problem 13P
Summary Introduction
Interpretation: The predicted cost obtained from the first iteration is to be verified.
Concept Introduction:
Computerized Relative Allocation of Facilities Techniques (CRAFT) refers to the computerized tools used to improve the existing layout of the facilities.
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(a) What is the cycle time necessary to achieve the desired rate of production?(b) Using the longest element rule, create workstations to balance the line,attempting to get as close as possible to the theoretical minimum numberof workstations.(c) What is the efficiency and idle time of the line balance?(d) The company considers that if the lamps are successful with the publicit may need to increase production to 30,000 units. The company thinksthe simplest solution is to obtain two more production lines, thus havingtriple capacity. Another option is to re-balance the line. Considering thata single worker is assigned to a work station, determine which option(more production lines or re-balancing) yields the smallest labour size.
Use the longest work element rule to balance the assembly line described in the following table and Figure so that it will produce 40 units per hour.a. What is the cycle time?b. What is the theoretical minimum number of workstations?c. Which work elements are assigned to each workstation?d. What are the resulting efficiency and balance delay percentages?e. Use the shortest work element rule to balance the assembly line. Do you note any changes in solution?
Work Element
Time (Sec)
Immediate Predecessor(s)
A
B
C
D
E
F
G
H
I
J
K
40
80
30
25
20
15
60
45
10
75
15
None
A
A
B
C
B
B
D
E,G
F
H,I,J
The Build-Em-Fast Company has agreed to supply its best customer with three widgets during each of the next 3 weeks, even though producing them will require some overtime work. The relevant production data are as follows:
Week
Maximum Production,
Regular Time
Maximum Production,
Overtime
Production Cost per Unit,
Regular Time
1
2
2
$300
2
3
2
$500
3
1
2
$400
The cost per unit produced with overtime for each week is $100 more than for regular time. The cost of storage is $50 per unit for each week it is stored. There is already an inventory of two widgets on hand currently, but the company does not want to retain any widgets in inventory after the 3 weeks.
Management wants to know how many units should be produced in each week to minimize the total cost of meeting the delivery schedule.
Formulate this problem as a transportation problem by constructing the appropriate parameter table.
Chapter 11 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.4 - Prob. 7PCh. 11.4 - Prob. 8PCh. 11.5 - Prob. 10PCh. 11.6 - Prob. 11P
Ch. 11.6 - Prob. 12PCh. 11.6 - Prob. 13PCh. 11.6 - Prob. 14PCh. 11.6 - Prob. 15PCh. 11.6 - Prob. 16PCh. 11.6 - Prob. 17PCh. 11.6 - Prob. 18PCh. 11.6 - Prob. 19PCh. 11.7 - Prob. 20PCh. 11.7 - Prob. 21PCh. 11.7 - Prob. 22PCh. 11.7 - Prob. 23PCh. 11.8 - Prob. 24PCh. 11.8 - Prob. 25PCh. 11.8 - Prob. 26PCh. 11.8 - Prob. 27PCh. 11.9 - Prob. 28PCh. 11.9 - Prob. 29PCh. 11.9 - Prob. 30PCh. 11.9 - Prob. 31PCh. 11.9 - Prob. 32PCh. 11.9 - Prob. 33PCh. 11.9 - Prob. 34PCh. 11.9 - Prob. 35PCh. 11.9 - Prob. 36PCh. 11.9 - Prob. 37PCh. 11.9 - Prob. 38PCh. 11.10 - Prob. 39PCh. 11.10 - Prob. 40PCh. 11.10 - Prob. 41PCh. 11.11 - Prob. 42PCh. 11.11 - Prob. 43PCh. 11.11 - Prob. 45PCh. 11 - Prob. 46APCh. 11 - Prob. 47APCh. 11 - Prob. 48APCh. 11 - Prob. 49APCh. 11 - Prob. 50APCh. 11 - Prob. 51APCh. 11 - Prob. 52APCh. 11 - Prob. 53APCh. 11 - Prob. 54APCh. 11 - Prob. 55APCh. 11 - Prob. 56APCh. 11 - Prob. 58AP
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