Two alloys, A and B, are made from four metals, I, II, III, and IV, according to the follow- ing specifications: Alloy Specifications Selling price ($) At most 80% of I At most 30% of II A 200 At least 50% of IV Between 40% and 60% of II 300 At least 30% of II At most 70% of IV The four metals are extracted from three ores according to the following data: Constituents (%) Maximum quantity (tons) Ore II II IV Others Price/ton ($) 1 1000 20 10 30 30 10 30 2000 10 20 30 30 10 40 3000 70 20 50
Two alloys, A and B, are made from four metals, I, II, III, and IV, according to the follow- ing specifications: Alloy Specifications Selling price ($) At most 80% of I At most 30% of II A 200 At least 50% of IV Between 40% and 60% of II 300 At least 30% of II At most 70% of IV The four metals are extracted from three ores according to the following data: Constituents (%) Maximum quantity (tons) Ore II II IV Others Price/ton ($) 1 1000 20 10 30 30 10 30 2000 10 20 30 30 10 40 3000 70 20 50
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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Develop an LP model to determine how much of each type of alloy should be produced, and find the solution using excel Solver, (Hint: Let x, be tons of ore i allocated to alloy k, and define wk as tons of alloy k produced.)
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