Homework: Quantitative Analysis
I. Explain what it means for an assignment model to be balanced. (At least 150 words.)
II. Explain the purpose of the transshipment constraints in the linear program for a transshipment model. (At least 200 words.)
III. Describe a problem that can be solved by using the shortest-route model.
IV. The management of the Executive Furniture Corporation decided to expand the production capacity at its Des Moines factory and to cut back the production capacities at its other two factories. It also recognizes a shifting market for its desks and revises the requirements at its three warehouses. The table on this page provides the requirement at each of the warehouses, the capacity at each of the factories, and the shipping cost per unit to ship from each factory to each warehouse. Find the least-cost way to meet the requirements given the capacity at each factory
|
To From
|
Albuquerque
|
Boston
|
Cleveland
|
Capacity
|
|
DES MOINES
|
$5
|
$4
|
$3
|
300
|
|
EVANSVILLE
|
$8
|
$4
|
$3
|
150
|
|
FORT LAUDERDALE
|
$9
|
$7
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$5
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250
|
|
REQUIREMENTS
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200
|
200
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300
|
|
V. In a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in the following table. The plant supervisor would like to assign jobs so that total time is minimized. Find the best solution. Which assignments should be made?
|
|
Machine
|
|
Job
|
W
|
X
|
Y
|
Z
|
|
A12
|
10
|
14
|
16
|
13
|
|
A15
|
12
|
13
|
15
|
12
|
|
B2
|
9
|
12
|
12
|
11
|
|
B9
|
14
|
16
|
18
|
16
|
VI. Is the transportation method an example of decision making under certainty or decision making under uncertainty? Why? (At least 200 words.)
Format your homework according to the following formatting requirements:
i) The answer should be typed, using Times New Roman font (size 12), double spaced, with one-inch margins on all sides.
ii) The response also includes a cover page containing the title of the homework, the student's name, the course title, and the date. The cover page is not included in the required page length.
iii) Also include a reference page. The Citations and references must follow APA format. The reference page is not included in the required page length.