A Linear Programming Problem Has Two Constraints 2X + 4Y

question 32

Multiple Choice

A linear programming problem has two constraints 2X + 4Y ≤ 100 and 1X + 8Y ≤ 100, plus nonnegativity constraints on X and Y. Which of the following statements about its feasible region is true?

• A) There are four corner points including (50, 0) and (0, 12.5).
• B) The two corner points are (0, 0) and (50, 12.5).
• C) The graphical origin (0, 0) is not in the feasible region.
• D) The feasible region includes all points that satisfy one constraint, the other, or both.
• E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

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Definitions:

Machine-Hours

An accounting term that indicates the total number of hours a machine is used during a specific period for manufacturing purposes.

Manufacturing Overhead

All indirect costs associated with the production of goods, including utilities, rent for production facilities, and maintenance expenses.

Overhead Applied

The portion of overhead costs allocated to the production of goods, based on a predetermined rate or method.

Milling Department

A specific division within a manufacturing facility where milling processes, such as grinding, crushing, or cutting, are performed on raw materials.