What Is the Optimal Solution (X, Y, Z) to the Following

question 29

Multiple Choice

What is the optimal solution (X, Y, Z) to the following linear program?
Max 2X + 4Y + 6Z
Subject to
Z ≤ 0
X + Y + Z ≤ 20
X, Y, Z ≥ 0

• A) (0, 0, 20)
• B) (20, 0, 0)
• C) (0, 20, 0)
• D) (20, 20, 20)
• E) the solution is unbounded

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Definitions:

Marginal Cost

Marginal cost is the increase in total cost that arises from producing one more unit of a good or service. It is a critical concept in economics for decision-making regarding production levels.

Purely Competitive Market

A market structure characterized by many buyers and sellers, all of whom are selling a homogeneous product, with no single buyer or seller able to influence the market price.

Economic Profit

The difference between total revenue and total costs, including both explicit and implicit costs, representing excess return over perfect competition.

Per-Unit Profit

The difference between the selling price of a product and its cost of production on a per-item basis, indicating the profit generated from selling one unit of product.