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

question 97

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 in the feasible region.
• D) The feasible region is triangular in shape, bounded by (50, 0), (33.3333, 8.3333), and (100, 0).
• E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

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Definitions:

Cost Allocation

The process of identifying, aggregating, and assigning costs to cost objects, such as departments, products, or services.

Service Department

A department that does not directly engage in operating activities; rather, it provides services or assistance to the operating departments.

Equivalent Unit

A measure used in cost accounting to express the amount of work done by an incomplete process on units of production in terms of fully completed units.

Process Costing

A costing methodology used in industries where production is continuous and costs are assigned to units of output through the manufacturing process.