What Is the Optimal Solution for the Following Problem?
Maximize $2 x + 4 y \leq 12$

question 70

Multiple Choice

What is the optimal solution for the following problem?
Maximize P = 3x + 15y
subject to $2 x + 4 y \leq 12$
$~~~~~~~~~~~~~~5 x + 2 y \leq 10$
And x ? 0, y ? 0.

• A) (x, y) = (2, 0)
• B) (x, y) = (0, 3)
• C) (x, y) = (0, 0)
• D) (x, y) = (1, 5)
• E) None of the answer choices are correct.

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Definitions:

Direct Labor-Hours

The total hours of labor directly involved in manufacturing a product, used in calculating labor costs and efficiency in production.

Job-Order Costing

A system that assigns manufacturing costs to each product, providing a way to calculate the cost per item or job specifically.

Predetermined Overhead Rate

An estimated rate used to allocate manufacturing overhead costs to products or job orders, based on a planned amount of activity.

Machine-Hours

A measure of production output or activity based on the number of hours machines are run, used in allocating machine-related costs to products.