Use the Given Feasible Region Determined by the Constraint Inequalities $x$

question 143

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the values of $x$ and $y$ that give the maximum possible value of $g = 8 x + 12 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } 40 x + 80 y \leq 560 \\6 x + 8 y \leq 72 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) \(x = 8 , y = 3\)
• B) \(x = 14 , y = 0\)
• C) \(x = 12 , y = 0\)
• D) \(x = 0 , y = 9\)

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