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 48,000 GB of memory and at least 12,000 TB of disk space. If both the Pomegranate and the iZac cost $1,800 each, how many of each should the school buy to keep the cost as low as possible? Pomegranate(s) iZac(s) What are the shadow costs of memory and disk space? memory $ per GB disk space $ per TB
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 48,000 GB of memory and at least 12,000 TB of disk space. If both the Pomegranate and the iZac cost $1,800 each, how many of each should the school buy to keep the cost as low as possible?
| Pomegranate(s) |
| iZac(s) |
What are the shadow costs of memory and disk space?
| memory | $ per GB |
| disk space | $ per TB |
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