A gold processor has two (2) sources of gold ore, Source A and source B. To keep his plant running, at least three (3) tons of ore must be processed each day. Ore from A costs $20 per ton to process, and ore from B costs $10 per ton to process. Costs must be kept to less than $80 per day. Moreover, Federal Regulations require that number of ore from source B cannot exceed twice the number of ore from source A. If ore from source A yields 2 oz. of gold per ton, and from source B yields 3 oz. of gold per ton, how many tons of ore from both sources must be processed each day to maximize the amount of gold to the above constraints?
A gold processor has two (2) sources of gold ore, Source A and source B. To keep his plant running, at least three (3) tons of ore must be processed each day. Ore from A costs $20 per ton to process, and ore from B costs $10 per ton to process. Costs must be kept to less than $80 per day. Moreover, Federal Regulations require that number of ore from source B cannot exceed twice the number of ore from source A. If ore from source A yields 2 oz. of gold per ton, and from source B yields 3 oz. of gold per ton, how many tons of ore from both sources must be processed each day to maximize the amount of gold to the above constraints?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 106P
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Question
A gold processor has two (2) sources of gold ore, Source A and source B. To keep his plant
running, at least three (3) tons of ore must be processed each day. Ore from A costs $20 per ton
to process, and ore from B costs $10 per ton to process. Costs must be kept to less than $80 per
day. Moreover, Federal Regulations require that number of ore from source B cannot exceed
twice the number of ore from source A. If ore from source A yields 2 oz. of gold per ton, and
from source B yields 3 oz. of gold per ton, how many tons of ore from both sources must be
processed each day to maximize the amount of gold to the above constraints?
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