Use the Given Feasible Region Determined by the Constraint Inequalities $\mathrm { f } = 2 \mathrm { x } + 4 \mathrm { y }$

question 26

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the minimum possible value of $\mathrm { f } = 2 \mathrm { x } + 4 \mathrm { y }$ subject to the following constraints:
$$\left\{ \begin{array} { l } x + 2 y \geq 10 \\3 x + y \geq 10 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) 20
• B) 0
• C) 10
• D) 30