Introduction to Management Science (12th Edition)
12th Edition
ISBN: 9780133778847
Author: Bernard W. Taylor III
Publisher: PEARSON
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Chapter 2, Problem 30P
Summary Introduction
To determine: Graphical presentation of linear programming model
Introduction: The linear programming model is used to minimize the cost and maximize the profit through algebraic and graphical presentation using different variables and satisfying them.
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The company LED S.A DE C.V. produces 2 devices for lamps, devices 1 and 2 that require metal parts and electrical parts. The manager wants to determine how many units of each product should be manufactured to maximize the profit for each unit, device 1 requires 2 metal parts and 4 electrical parts, device 2 requires 4 metal parts and 2 electrical parts, the company has 24 units of each material available for batch production, device 1 generates $4 profit and device 2 generates $6 profit.
a) Formulate PL model.
b) Solve by the graphical method and determine what is the resulting maximum profit.
Translated with DeepL.com (free version)
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…
Hyundai Motors is considering three sites-A, B, and C-at which to locate a factory to build its new electric car batteries. The goal is to locate at a minimum-cost site, where cost is measured by
the annual fixed plus variable costs of production. Hyundai Motors has gathered the following data:
Site
Annualized Fixed Cost
Variable Cost per
Battery Produced
A
$11,000,000
$2,600
B
C
$2,000
$1,100
$20,000,000
$25,000,000
The firm knows it will produce between 0 and 60,000 batteries at the new plant each year, but, thus far, that is the extent of its knowledge about production plans.
a) The value of volume, V, of production above which site C is recommended =
batteries (round your response up to the next whole number).
Chapter 2 Solutions
Introduction to Management Science (12th Edition)
Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10P
Ch. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 51PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 56PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Prob. 62P
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