Problem 312. Grafton Metalworks Company produces metal alloys from six different ores it mines. The com-pany has an order from a customer to produce an alloy that contains four metals according to thefollowing specifications: at least 21% of metal A, no more than 12% of metal B, no more than7% of metal C, and between 30% and 65% of metal D. The proportion of the four metals in cachof the six ores and the level of impurities in each ore are provided in the following table:Metal (%)A BC DCost/TonOreImpurities (%)1915121440$27431025152531753303220121850222410 3135206.121816252924When the metals are processed and refined, the impurities are removed.The company wants to know the amount of each ore to use per ton of the alloy that will minimizethe cost per ton of the alloy.a. Formulate a linear programming model for this problem.

Name: Problem 312. Grafton Metalworks Company produces metal alloys from si
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Description: Problem 312. Grafton Metalworks Company produces metal alloys from six different ores it mines. The com-pany has an order from a customer to produce an alloy that contains four metals according to thefollowing specifications: at least 21% of metal A

Linear programming (LP) model is employed to work out the simplest outcome for a mathematical model…

Business

Operations Management

Problem 3 12. Grafton Metalworks Company produces metal alloys from six different ores it mines. The com- pany has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C, and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in cach ore are provided in the following table: Metal (%) A BCD Impurities (%) Ore Cost/Ton 19 15 12 14 40 $27 43 10 25 15 25 3. 17 53 30 32 20 12 18 50 22 24 10 31 35 20 6. 12 18 16 25 29 24 When the metals are processed and refined, the impurities are removed. The company wants to know the amount of cach ore to use per ton of the alloy that will minimize the cost per ton of the alloy. a. Formulate a linear programming model for this problem.

Problem 3 12. Grafton Metalworks Company produces metal alloys from six different ores it mines. The com- pany has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C, and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in cach ore are provided in the following table: Metal (%) A BCD Impurities (%) Ore Cost/Ton 19 15 12 14 40 $27 43 10 25 15 25 3. 17 53 30 32 20 12 18 50 22 24 10 31 35 20 6. 12 18 16 25 29 24 When the metals are processed and refined, the impurities are removed. The company wants to know the amount of cach ore to use per ton of the alloy that will minimize the cost per ton of the alloy. a. Formulate a linear programming model for this problem.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

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