Use the Graphical Technique to Find the Optimal Solution for This

question 26

Essay

Use the graphical technique to find the optimal solution for this objective function and associated constraints.
Maximize: Z=8A + 5B
Subject To:
Constraint 1 4A + 5B < 80
Constraint 2 7A + 4B < 120
A,B > 0
a.Graph the problem fully in the following space.Label the axes carefully,plot the constraints,shade the feasibility region,identify all candidate corner points,and indicate which one yields the optimal answer.

---

Definitions:

Hypertension

A chronic medical condition where the blood pressure in the arteries is persistently elevated, leading to increased risk of heart disease, stroke, and other health issues.

Hypotension

A medical condition characterized by blood pressure that is lower than normal, which can lead to symptoms like dizziness or fainting.

One-Cell Structures

Single-cell organisms or entities, like bacteria and many types of algae, which perform all necessary life functions within one cell.

Congestive Heart Failure

A chronic condition where the heart does not pump blood as well as it should, leading to a buildup of fluid in the lungs and surrounding body tissues.