Use the Given Feasible Region Determined by the Constraint Inequalities $\mathrm { f } = 7 \mathrm { x } + 6 \mathrm { y }$

question 109

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the maximum possible value of the
objective function.
- $\mathrm { f } = 7 \mathrm { x } + 6 \mathrm { y }$ subject to the constraints
$$\left\{ \begin{array} { l } 3 x + 4 y \leq 165 \\x + 2 y \leq 77 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) 385
• B) 405
• C) 275
• D) 231

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Definitions:

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An enzyme that catalyzes the conversion of carbon dioxide and water to carbonic acid, playing a critical role in respiration and the acid-base balance in blood.

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An invisible, unscented gas created by the combustion of carbon-based substances and during breathing. It occurs naturally in the environment and is consumed by plants for photosynthesis.

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The larynx, an organ in the top of the neck involved in breathing, producing sound, and protecting the trachea against food aspiration.