Practical Management Science
5th Edition
ISBN: 9781305734845
Author: WINSTON
Publisher: Cengage
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Chapter 7.5, Problem 24P
Summary Introduction
To modify: The warehouse location model for an extra customer.
Non-linear programming (NLP):
Non-linear programming (NLP) is used in complex optimization problems where the objectives or constraints or sometimes both are non-linear functions of the decision variables. A model can be termed as non-linear for more than one reason.
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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…
Question 2
MGMT2026 Production and Operations Management Semester II 2024-2025
a. Aman ltd. desires to locate a new facility. Based on preliminary analysis, the choice has been
reduced to four locations: A, B, C, and D. These four locations were rated on a scale from 1
(worst) to 10 (best) on each of four criteria. Each criterion was also weighted to indicate its
importance (i.e., the higher the weight, the more important). The list of ratings and weights
follows in the Table 2 below:
Table 2
Factor Score Evaluation by Location
Criterion
Weights
A
B
с
D
Wages
25
4
5
3
4
Government Policies
30
8
7
6
5
Unionisation
Weather
15
6
4
3
2
30
3
4
6
5
i.
Based on weighted scores, where should Acme locate its new facility?
[6 marks]
b. An operations manager has narrowed down the search for a new factory to three locations. The
fixed and variable costs associated with each location is given in the table below.
i.
Table 3
Location
Fixed Cost
Variable Cost
A
$100,000
$10
B
$150,000
$7
с
$200,000
$5…
Chapter 7 Solutions
Practical Management Science
Ch. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Pricing Decisions at Madison The Madison Company...Ch. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 6PCh. 7.3 - Prob. 7PCh. 7.3 - Prob. 8PCh. 7.3 - Prob. 9PCh. 7.3 - Prob. 10P
Ch. 7.3 - Prob. 11PCh. 7.3 - Prob. 12PCh. 7.3 - Prob. 13PCh. 7.3 - PRICING SUITS AT SULLIVANS Sullivans is a retailer...Ch. 7.3 - Prob. 15PCh. 7.4 - Prob. 16PCh. 7.4 - Prob. 17PCh. 7.4 - Prob. 18PCh. 7.4 - Prob. 19PCh. 7.4 - Prob. 20PCh. 7.4 - Prob. 21PCh. 7.4 - Prob. 22PCh. 7.4 - Prob. 23PCh. 7.5 - Prob. 24PCh. 7.5 - Prob. 25PCh. 7.5 - Prob. 26PCh. 7.5 - Prob. 27PCh. 7.6 - Prob. 28PCh. 7.6 - Prob. 29PCh. 7.6 - Prob. 30PCh. 7.6 - Prob. 31PCh. 7.6 - The method for rating teams in Example 7.8 is...Ch. 7.7 - Prob. 35PCh. 7.7 - Prob. 36PCh. 7.7 - Prob. 37PCh. 7.7 - The stocks in Example 7.9 are all positively...Ch. 7.7 - Prob. 39PCh. 7.7 - Prob. 40PCh. 7.7 - Prob. 41PCh. 7.7 - Prob. 42PCh. 7.8 - Given the data in the file Stock Beta.xlsx,...Ch. 7.8 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Another way to derive a demand function is to...Ch. 7 - Prob. 48PCh. 7 - If a monopolist produces q units, she can charge...Ch. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - A beer company has divided Bloomington into two...Ch. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Based on Grossman and Hart (1983). A salesperson...Ch. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - Prob. 79PCh. 7 - Prob. 80PCh. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Prob. 83PCh. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Prob. 1.1CCh. 7 - Prob. 1.2CCh. 7 - Prob. 1.3CCh. 7 - Prob. 1.4C
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