A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 160 GB of memory and 160 TB of disk space and each iNac has 480 GB of memory and 80 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 43200 GB of memory and at least 19200 TB of disk space. If the Pears cost $2200 each and the iNacs cost $1000 each, how many of each computer should they get to minimize cost.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
icon
Related questions
Topic Video
Question

A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 160 GB of memory and 160 TB of disk space and each iNac has 480 GB of memory and 80 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 43200 GB of memory and at least 19200 TB of disk space. If the Pears cost $2200 each and the iNacs cost $1000 each, how many of each computer should they get to minimize cost.

A state university is buying computers and has narrowed it down to two
different models that they would like to purchase, the Pear and the iNac. Each
Pear has 160 GB of memory and 160 TB of disk space and each iNac has 480
GB of memory and 80 TB of disk space. For accreditation reasons the school
would like to be able to say they have a total of at least 43200 GB of memory
and at least 19200 TB of disk space. If the Pears cost $2200 each and the
iNacs cost $1000 each, how many of each computer should they get to
minimize cost.
Pears
iNacs
Transcribed Image Text:A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 160 GB of memory and 160 TB of disk space and each iNac has 480 GB of memory and 80 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 43200 GB of memory and at least 19200 TB of disk space. If the Pears cost $2200 each and the iNacs cost $1000 each, how many of each computer should they get to minimize cost. Pears iNacs
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning