Given the Following Linear Programming Problem That Minimizes Cost

question 92

Multiple Choice

Given the following linear programming problem that minimizes cost:
Min Z = 2x + 8y
Subject to (1) 8x + 4y ? 64
      (2) 2x + 4y ? 32
      (3) y ? 2
-Determine the optimum values for x and y.

• A) x = 2; y = 6
• B) x = 6; y = 2
• C) x = 12; y = 2
• D) x = 6; y = 5

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Definitions:

Base

The number that is repeatedly multiplied by itself when raised to an exponent, or the bottom side of a geometric figure.

Simplify

The process of altering an expression or equation to make it easier to understand or solve, usually by combining like terms or removing parentheses.

Average Cost

The total cost divided by the number of goods produced, calculating the cost per unit of goods.

Domain

In mathematics, specifically in the context of functions, the domain is the set of all possible input values (or arguments) for which the function is defined.