1. A dealer wishes to purchase a number of fans and sewing machines. He has only 5760 ETB to invest and has space for almost 20 items. A fan costs him 360 ETB and sewing machine 240 ETB. His expectation is that he can sell a fan at profit of 22 ETB and a sewing machine at a profit of 18 ETB. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit. (Note: ETB - Ethiopian Birr) a. Formulate it as a linear programming problem (LPP) b. Use the graphical method to solve it.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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1. A dealer wishes to purchase a number of fans and sewing machines. He has only 5760 ETB to
invest and has space for almost 20 items. A fan costs him 360 ETB and sewing machine 240 ETB.
His expectation is that he can sell a fan at profit of 22 ETB and a sewing machine at a profit of
18 ETB. Assuming that he can sell all the items that he can buy, how should he invest his money
in order to maximize his profit. (Note: ETB - Ethiopian Birr)
a. Formulate it as a linear programming problem (LPP)
b. Use the graphical method to solve it.
Transcribed Image Text:1. A dealer wishes to purchase a number of fans and sewing machines. He has only 5760 ETB to invest and has space for almost 20 items. A fan costs him 360 ETB and sewing machine 240 ETB. His expectation is that he can sell a fan at profit of 22 ETB and a sewing machine at a profit of 18 ETB. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit. (Note: ETB - Ethiopian Birr) a. Formulate it as a linear programming problem (LPP) b. Use the graphical method to solve it.
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