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

question 20

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), (33-1/3, 8-1/3), and (100, 0).
• E) The feasible region cannot be determined without knowing whether the problem is to be minimized or maximized.

---

Definitions:

Total Cost

The sum of fixed and variable costs incurred by a firm in producing or offering a product or service.

Total Cost

The complete cost of producing a given amount of goods or services, including both fixed and variable costs.

Producing Bagels

Refers to the process of making bagels, which includes mixing, shaping, boiling, and baking the dough.

Average Total Cost

The total cost of production divided by the number of units produced, indicating the cost per unit of output.