In: Advanced Math
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 49,500 GB of memory and at least 12,500 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?
_________ Pomegranate(s) |
__________iZac(s) |
What are the shadow costs of memory and disk space?
memory | $______ per GB |
disk space | $________ per TB |