Minimize $c = 2.2 x + y + 3.3 z$ Subject To

question 38

Multiple Choice

Minimize $c = 2.2 x + y + 3.3 z$
Subject to
$$\begin{aligned}x + 1.5 y + 1.2 z & \geq 150 \\2 x + 1.5 y & \geq 40 \\1.5 y + 1.1 z & \geq 40 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$
Round all answers to two decimal places.

• A) \(c = 320\) , \(x = 100\) , \(y = 100\) , \(z = 0\)
• B) \(c = 330\) , \(x = 0\) , \(y = 0\) , \(z = 100\)
• C) \(c = 100\) , \(x = 0\) , \(y = 100\) , \(z = 0\)
• D) \(c = 550\) , \(x = 100\) , \(y = 0\) , \(z = 100\)
• E) \(c = 220\) , \(x = 100\) , \(y = 0\) , \(z = 0\)

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Definitions:

Enzyme

An organic catalyst (usually a protein) that accelerates a specific chemical reaction by lowering the activation energy required for that reaction.

Chemical Reactions

Processes that involve the rearrangement of molecular or ionic structure of substances, resulting in new products with different properties.

Transport Protein

A protein that aids in the movement of substances across a cell membrane.

Quaternary Structure

The overall conformation of a protein produced by the interaction of two or more polypeptide chains. Compare with primary, secondary, and tertiary protein structure.