Find the Minimum and Maximum Values of the Objective Function $$\left\{ \begin{array} { l } y \geq 0 \\x - y \geq - 2 \\2 x + 3 y \geq 6 \\5 x + 2 y \leq 25\end{array} \right.$$

question 193

Multiple Choice

Find the minimum and maximum values of the objective function and where it occurs, subject to the indicated constraints. Objective function:
Z = 3x + 4y
Constraints: $$\left\{ \begin{array} { l } y \geq 0 \\x - y \geq - 2 \\2 x + 3 y \geq 6 \\5 x + 2 y \leq 25\end{array} \right.$$

• A)minimum = 8 at (0, 2); maximum = 29 at (3, 5)
• B)minimum = -11 at (3, 5); maximum = 15 at (5, 0)
• C)minimum = 8 at (0, 2); maximum = 27 at (3, 5)
• D)minimum = 0 at (0, 0); maximum = 29 at (3, 5)
• E)minimum = 9 at (3, 0); maximum = 15 at (5, 0)

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