Use the Graphical Technique to Find the Optimal Solution for This

question 44

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.

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Definitions:

Floor Space

The total area available for use within a building or premises, often considered in retail and real estate contexts.

Direct Expense

Costs that can be directly tied to the production or sale of specific goods or services.

Indirect Expense

Costs that are not directly tied to a specific product or service, such as utilities or rent for a company.

Insurance

A financial product that provides protection against losses or damages, in exchange for premium payments.