Use duality to answer the following application.
The Enormous State University's Business School is buyingcomputers. The school has two models to choose from, thePomegranate and the iZac. Each Pomegranate comes with 400 GB ofmemory and 80 TB of disk space, while each iZac has 300 GB ofmemory and 100 TB of disk space. For reasons related to itsaccreditation, the school would like to be able to say that it hasa total of at least 49,500 GB of memory and at least 12,500 TB ofdisk 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 aspossible?
| _________ Pomegranate(s) |
| __________iZac(s) |
What are the shadow costs of memory and disk space?
| memory | $______per GB |
| diskspace | $________ per TB |
