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:

Conversion Costs

The combined costs of direct labor and manufacturing overheads, representing the costs involved in converting raw materials into finished products.

Work in Process

Inventory that includes goods in the process of being manufactured but not yet completed.

Manufacturing Cost

The total sum of expenses related to producing goods, including raw materials, labor, and overhead costs.

Equivalent Units

A concept used in process costing that converts partially completed units into a smaller number of fully completed units, facilitating cost calculation.