Solve the following linear programming problem graphically: Maximise z =5 x +3 y subject to the constraints 3 x +5 y ≤ 15; 5 x +2 y ≤ 10; x, y ≥ 0

Solve the following linear programming problem graphically : Maximise $\displaystyle \mathrm{z}=5 \mathrm{x}+3 \mathrm{y}$ subject to the constraints \[\begin{array}{r} 3 \mathrm{x}+5 \mathrm{y} \leq 15 \\ 5 \mathrm{x}+2 \mathrm{y} \leq 10 \\ \mathrm{x}, \mathrm{y} \geq 0 \end{array} \]