The Linear Programming Problem Has an Unusual Characteristic $\ge$ 0
Y $\ge$

The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs.
Objective function:

Z = 2.5x + y

Constraints:

X $\ge$ 0
Y $\ge$ 0
3x + 5y $\le$ 15
5x + 2y $\le$ 10

A) Minimum at (0, 0) : 0
B) Minimum at $\left( \frac { 20 } { 19 } , \frac { 45 } { 19 } \right)$ : 5.00
C) Minimum at $\left( \frac { 20 } { 19 } , 0 \right)$ : 2.63
D) No minimum
E) Minimum at $\left( \frac { 45 } { 19 } , \frac { 20 } { 19 } \right)$ : 6.97