rchasing 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 900 GB of memo 100 TB of disk space, and each iZac has 1000 GB of memory and 80 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 900,000 GI memory and at least 86,000 TB of disk space. Draw the feasible region that shows the number of each kind of computer it can buy. (Place the Pomegranate on the x-axis and the iZac on the y-axis.) y y y

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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**Purchasing Computers for Enormous State University's Business School**

**Scenario Description:**
Enormous State University's Business School is in the process of purchasing new computers. They have two models to choose from: the Pomegranate and the iZac. Each Pomegranate computer comes with 900 GB of memory and 100 TB of disk space, while each iZac computer comes with 1000 GB of memory and 80 TB of disk space.

**Requirement for Accreditation:**
To maintain accreditation, the school needs to ensure that their computer purchases provide at least 900,000 GB of memory and 86,000 TB of disk space.

**Objective:**
Draw the feasible region that shows the number of each type (Pomegranate and iZac) computer the school can buy to meet the memory and disk space requirements. 

**Note:** Place the Pomegranate on the x-axis and the iZac on the y-axis.

**Graph Analysis:**

1. **Graph 1 (Top Left):**
   - **Axes:** The x-axis represents the number of Pomegranate computers, and the y-axis represents the number of iZac computers.
   - Two linear inequalities form the constraints for the required total memory and disk space.
   - The blue shaded region represents the feasible solution set where the total memory and disk space requirements are met. The intersection of the lines forms the boundary of this feasible region.

2. **Graph 2 (Top Middle):**
   - Similar to Graph 1 with the axes and the shaded feasible region.
   - The feasible solution set is highlighted, encompassing all combinations of Pomegranate and iZac computers that meet the memory and disk space requirements.

3. **Graph 3 (Top Right):**
   - Includes the same axes and feasible solution set.
   - The point of intersection of the constraints' lines indicates the maximum number of each type of computer that can be purchased while still adhering to the minimum requirements for memory and disk space.

**Conclusion:**
The region where the shaded areas overlap in all graphs represents the feasible set of solutions, satisfying both the memory and disk space constraints. By choosing any combination of Pomegranate and iZac computers within this region, Enormous State University's Business School can ensure they meet the accreditation requirements for their new computer purchases.
Transcribed Image Text:**Purchasing Computers for Enormous State University's Business School** **Scenario Description:** Enormous State University's Business School is in the process of purchasing new computers. They have two models to choose from: the Pomegranate and the iZac. Each Pomegranate computer comes with 900 GB of memory and 100 TB of disk space, while each iZac computer comes with 1000 GB of memory and 80 TB of disk space. **Requirement for Accreditation:** To maintain accreditation, the school needs to ensure that their computer purchases provide at least 900,000 GB of memory and 86,000 TB of disk space. **Objective:** Draw the feasible region that shows the number of each type (Pomegranate and iZac) computer the school can buy to meet the memory and disk space requirements. **Note:** Place the Pomegranate on the x-axis and the iZac on the y-axis. **Graph Analysis:** 1. **Graph 1 (Top Left):** - **Axes:** The x-axis represents the number of Pomegranate computers, and the y-axis represents the number of iZac computers. - Two linear inequalities form the constraints for the required total memory and disk space. - The blue shaded region represents the feasible solution set where the total memory and disk space requirements are met. The intersection of the lines forms the boundary of this feasible region. 2. **Graph 2 (Top Middle):** - Similar to Graph 1 with the axes and the shaded feasible region. - The feasible solution set is highlighted, encompassing all combinations of Pomegranate and iZac computers that meet the memory and disk space requirements. 3. **Graph 3 (Top Right):** - Includes the same axes and feasible solution set. - The point of intersection of the constraints' lines indicates the maximum number of each type of computer that can be purchased while still adhering to the minimum requirements for memory and disk space. **Conclusion:** The region where the shaded areas overlap in all graphs represents the feasible set of solutions, satisfying both the memory and disk space constraints. By choosing any combination of Pomegranate and iZac computers within this region, Enormous State University's Business School can ensure they meet the accreditation requirements for their new computer purchases.
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