Use the Given Feasible Region Determined by the Constraint Inequalities $g = 4 x + 5 y$

question 42

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 $g = 4 x + 5 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } x - 2 y \leq 5 \\2 x + y \geq 15 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) 39
• B) 20
• C) 75
• D) 33

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