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
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
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9bc8794-1faf-4b80-9c12-acf824da0430%2F6613a9b8-5f12-4418-8414-106b3aa4b326%2Few97vmn_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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