The Copperfield Mining Company owns two mines, which produce three grades of ore: high, medium, and low.  The company has a contract to supply a smelting company with 12 tons of high-grade ore, 8 tons of medium-grade ore, and 24 tons of low-grade ore. Each mine produces a certain amount of each type of ore each hour of operation. The company has developed the following linear programming model to determine the number of hours to operate each mine (X and Y) so that contracted obligations can be met at the lowest cost:                 Ore Grades Mine X Mine Y High Grade 6 2 Medium Grade 2 2 Low Grade 4 12 Cost of Operation per hour ($) 200 160

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 71P
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The Copperfield Mining Company owns two mines, which produce three grades of ore: high, medium, and low.  The company has a contract to supply a smelting company with 12 tons of high-grade ore, 8 tons of medium-grade ore, and 24 tons of low-grade ore. Each mine produces a certain amount of each type of ore each hour of operation. The company has developed the following linear programming model to determine the number of hours to operate each mine (X and Y) so that contracted obligations can be met at the lowest cost:

               

Ore Grades

Mine X

Mine Y

High Grade

6

2

Medium Grade

2

2

Low Grade

4

12

Cost of Operation per hour ($)

200

160

 

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,