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

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)

Correct Answer:

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Access For Free