Enormous State University's Business School is buying computers. Theschool has two models from which to choose, the Pomegranate and the iZac.Each Pomegranate comes with 400 GB of memory and 80 TB of disk space;each iZac has 300 GB of memory and 100 TB of disk space. For reasonsrelated to its accreditation the school would like to be able to say that it hasa total of at least 48,000 GB of memory and at least 12,800 TB of diskspace. If the Pomegranate and the iZac cost $4,000 each, how many of eachshould the school buy to keep the cost as low as possible? HINT [SeeExample 4.] (If an answer does not exist, enter DNE.)PomegranatecomputersiZaccomputers

Name: Enormous State University's Business School is buying computers. Thes
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Description: Enormous State University's Business School is buying computers. Theschool has two models from which to choose, the Pomegranate and the iZac.Each Pomegranate comes with 400 GB of memory and 80 TB of disk space;each iZac has 300 GB of memory and 100

Answered: Enormous State University's Business…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Enormous State University's Business School is buying computers. The
school has two models from which to choose, the Pomegranate and the iZac.
Each Pomegranate comes with 400 GB of memory and 80 TB of disk space;
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 12,800 TB of disk
space. If the Pomegranate and the iZac cost $4,000 each, how many of each
should the school buy to keep the cost as low as possible? HINT [See
Example 4.] (If an answer does not exist, enter DNE.)
Pomegranate
computers
iZac
computers

Expert Solution

Step 1

Let x be the number of Pomegranate computers and y be the number of iZac computers.

As there is a need for at least 48000 GB of memory and at least 12800 TB of disk space,

And

As The Pomegranate and the iZac cost $4000 each, therefore for each, it will be $2000.

And to keep the cost as low as possible

Therefore the function is to minimize Z=2000x+200y

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