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

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum 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) 231
C) 275
D) 0