If corner points of a feasible region are (0, 0), (2, 0), $\left(\frac{20}{19}, \frac{45}{19}\right)$ and (0, 3), then

(A) Maximum value of $z=5 x+3 y$ is 10
(B) Minimum value of $z=5 x+3 y$ is 0
(C) Maximum value of $z=5 x+3 y$ is $\frac{235}{19}$ and minimum value is 0
(D) Maximum value of $z=5 x+3 y$ is 10 and minimum value is 0

Choose the correct answer from the options given below:

(B) and (C) Only

The correct answer is Option (3) - (B) and (C) Only

$Z=5x+3y$

Z minimum = 0

Z maximum = $\frac{235}{19}$

⇒ B, C correct