simplex method to solve the problem
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A firm that assembles computers and computer equipment is about to start
production of four types of microcomputers. Each type will require assembly
time, inspection time, packaging time and storage space. The amounts of each
of these resources that can be devoted to the production of the
microcomputers is limited. The manager of the firm would like to determine
the quantity of each microcomputer to produce in order to maximize the profit
generated by sales of these microcomputers.
In order to develop a suitable model of the problem, the manager has met
with design and production personnel. As a result of those meetings, the
manager obtained an information which was then converted into a
mathematical model
Thus:
X1 = Quantity of type 1 to produce
X2 = Quantity of type 2 to produce
X3 = Quantity of type 3 to produce
X4 = Quantity of type 4 to produce
Zmax = 0.50X1 +0.20X2 +0.30X3 + 0.80X4
Subject to:
Assembly 200X1 + 200X2+ 150X3 + 250X4 <50,000
Inspection:
Packaging:
Storage:
Non-negativity: X1, X2, X3, X4
3X1 + 2X2
S 600
2X1 + 2X2 + 4X3 +4X4
2X1+ 4X2 + X3 + 5X4
<1,000
<800
20
a) Use the excel solver on the simplex method to solve the problem (show the
answer report, sensitivity report and limit report)
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