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Find the Minimum and Maximum Values of the Objective Function {y0xy22x+3y65x+2y25\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: {y0xy22x+3y65x+2y25\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.  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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