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simplex method to solve the problem

simplex method to solve the problem

Advanced Engineering Mathematics
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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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)
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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