OM (with OM Online, 1 term (6 months) Printed Access Card)
6th Edition
ISBN: 9781305664791
Author: David Alan Collier, James R. Evans
Publisher: Cengage Learning
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Chapter 7, Problem 6PA
Summary Introduction
Interpretation:Labor utilization rate needs to be measured using the given information with the help of utilization formula.
Concept Introduction: Resource utilization is an important analytic to measure the capacity of the system. Utilization refers to the ratio of resources used to resource available.
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Question 1
M&H company ltd. sells television sets and has collected monthly sales data (in units) for the past 12
months as shown in table 1below:
TABLE 1
Month
Sales (Units)
1
120
2
135
3
150
4
165
5
180
6
200
7
195
8
210
9
225
10
240
11
255
12
270
Using the data provided, answer the following questions:
a. Using a 3-month weighted moving average with weights 0.5, 0.3, and 0.2 (most recent month
having the highest weight), calculate the forecast for month 13.
[2 marks]
b. If the company applies an exponential smoothing method with a smoothing constant (a) = 02,
and assumes an initial forecast of 120 units for Month 1, calculate the forecast for month 13.
[6 marks]
c. Calculate the Mean Absolute Deviation (MAD) for the exponential smoothing method and
weighted moving average method using the actual sales data for Months 4 to 12 and determine
which method is more accurate.
[8 marks] d.
Compute the values of a (intercept) and b (slope) using the least squares method. [7 marks]
e. Use the…
Question 4
MGM12026 Production and Operations Management semester il 2024
A company operates a manufacturing plant that produces two products, A and B. The plant has the
following capacity data:
.
.
Design Capacity: 15,000 machine hours per month
Effective Capacity: 12,000 machine hours per month
Actual Output (Utilized Capacity): 10,000 machine hours per month
Additionally, the plant produces Product A and Product B, with the following production data:
Product Demand (Units)
Processing Time Contribution Margin ($
(hours per unit)
per unit)
A
3,000
2.5
40
B
4,000
1.5
30
a. Calculate the plant's
i. Capacity Utilization
[3 marks] ii. Effective Capacity Utilization
[3 marks] iii.
Efficiency. Interpret the results. [3 marks] b. Compute the total machine hours required to
meet full demand for both products. [5 marks]
c. Determine whether the plant has sufficient capacity to meet full demand. If not, calculate the
shortfall in machine hours.
[3 marks]
d. Using the contribution margin per…
Question 3
i.
Using the Center of Gravity method, determine the optimal location (X, Y) for the new
distribution center.
[7 marks]
[TOTAL 25 MARKS]
Time (sec.)
Power steering assembly firm wants to set up an assembly line which must have an output of 60 units per
hour. The work elements, task times and their precedence relationships are shown in Table 2: Table 1
Work Element
Immediate Predecessor(s)
A
30
NONE
B
26
A
C
50
A
D
44
B
E
10
с
F
20
с
G
15
D.E
H
30
E,G,F
Required:
a. Draw the precedence diagram showing the task precedence and their times
b. Determine the cycle time associated with the rate of output required.
[3 marks]
c. What is the theoretical number of work stations required to satisfy this output rate?
[3 marks]
[4 marks]
d. Allocate the tasks to work stations taking into consideration the precedence requirements and using
the
LOT rule to break ties between feasible tasks.
e. Calculate the total idle time
[8 marks]
[3 marks]
f. What is the efficiency of the line and the…
Chapter 7 Solutions
OM (with OM Online, 1 term (6 months) Printed Access Card)
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