Minimize $c = 5.45 x + y + 1.5 z + w$

question 94

Multiple Choice

Minimize $c = 5.45 x + y + 1.5 z + w$
Subject to
$$\begin{aligned}5.12 x - y + w & \geq 1,500 \\z + w & \geq 1,500 \\1.12 x + y & \leq 1,000 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$

• A) \(c = 1,500\) , \(x = 0\) , \(y = 1,500\) , \(z = 0\) , \(w = 0\)
• B) \(c = 1,500\) , \(x = 0\) , \(y = 0\) , \(z = 0\) , \(w = 1,500\)
• C) \(c = 1,500\) , \(x = 0\) , \(y = 0\) , \(z = 1,500\) , \(w = 0\)
• D) \(c = 8,175\) , \(x = 1,500\) , \(y = 0\) , \(z = 0\) , \(w = 0\)
• E) \(c = 2,250\) , \(x = 0\) , \(y = 0\) , \(z = 1,500\) , \(w = 0\)

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Definitions:

Economic Development

The process by which the overall health, well-being, and academic level of the general population of a specific area or country improves.

Disfranchisement

The act of denying someone the right to vote in public elections, often based on legal, socioeconomic, or racial criteria.

Appeal of Forty Thousand

A petition to the Pennsylvania legislature in 1838, calling for the right to vote for Black men, signed by over 40,000 Black and white citizens.

Conscience

An inner feeling or voice acting as a guide to the rightness or wrongness of one's behavior, often associated with moral and ethical judgments.