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The Enormous State University's Business School is buying computers. The school has two models to choose from, the Pomegranate and the izac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space, while each izac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation, the school would like to be able to say that it has a total of at least 61,500 GB of memory and at least 15,700 TB of disk space. If both the Pomegranate and the iZac cost $2,000 each, how many of each should the school buy to keep the cost as low as possible? (pomengranates, iZacs) = What are the shadow costs of memory and disk space? per GB per TB memory disk space

The Enormous State University's Business School is buying computers. The school has two models to choose from, the Pomegranate and the izac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space, while each izac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation, the school would like to be able to say that it has a total of at least 61,500 GB of memory and at least 15,700 TB of disk space. If both the Pomegranate and the iZac cost $2,000 each, how many of each should the school buy to keep the cost as low as possible? (pomengranates, iZacs) = What are the shadow costs of memory and disk space? per GB per TB memory disk space

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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Use duality to answer the following application. The Enormous State University's Business School is buying computers. The school has two models to choose from, the Pomegranate and the iZac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space, while each iZac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation, the school would like to be able to say that it has a total of at least 61,500 GB of memory and at least 15,700 TB of disk space. If both the Pomegranate and the iZac cost $2,000 each, how many of each should the school buy to keep the cost as low as possible? (pomengranates, iZacs) = What are the shadow costs of memory and disk space? memory $4 per GB disk space per TB
Transcribed Image Text:Use duality to answer the following application. The Enormous State University's Business School is buying computers. The school has two models to choose from, the Pomegranate and the iZac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space, while each iZac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation, the school would like to be able to say that it has a total of at least 61,500 GB of memory and at least 15,700 TB of disk space. If both the Pomegranate and the iZac cost $2,000 each, how many of each should the school buy to keep the cost as low as possible? (pomengranates, iZacs) = What are the shadow costs of memory and disk space? memory $4 per GB disk space per TB
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