Find the Maximum Value of the Objective Function and Where

question 158

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the indicated constraints. ​
Objective function:
​
​
Z = 5x + 8y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + 3y ≤ 15
4x + y ≤ 16
​​ ​

• A)Maximum at (3, 4): 47
• B)Maximum at (4, 0): 20
• C)Maximum at (5, 0): 44
• D)Maximum at (0, 5): 40
• E)Maximum at (0, 0): 0

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Definitions:

Job Cost Sheet

A document used to track the expenses associated with a specific job or project, including materials, labor, and overhead costs.

Cost Ledger

A subsidiary ledger containing all cost-related information, including direct and indirect costs ledgers, for a company.

Service Business

A business model focused on delivering non-physical products or services to its consumers.

Overhead

The indirect costs or expenses associated with operating a business, including administrative, office, and rented space expenses.