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:

Unpaid Work

Labor, such as household chores or caregiving, which is not compensated with money but contributes to the well-being and functioning of a family or society.

Separatism

The advocacy for the separation of a certain group of people from a larger body on the basis of ethnicity, religion, or gender.

Objective

Something that one's efforts or actions are intended to attain or accomplish; purpose; goal; target.

Value-neutral

An approach that is without judgment and does not assign moral, ethical, or cultural values to observations or decisions.