diff --git a/Claudio_Maggioni_5/ex2.m b/Claudio_Maggioni_5/ex2.m new file mode 100644 index 0000000..bd3e173 --- /dev/null +++ b/Claudio_Maggioni_5/ex2.m @@ -0,0 +1,32 @@ +syms x1 x2 +c1 = 2 * x1 + 3 * x2 - 6; +c2 = -3 * x1 + 2 * x2 - 3; +c3 = 2 * x2 - 5; +c4 = 2 * x1 + x2 - 4; + +c1 = solve(c1 == 0, x2, 'Real', true); +c2 = solve(c2 == 0, x2, 'Real', true); +c3 = solve(c3 == 0, x2, 'Real', true); +c4 = solve(c4 == 0, x2, 'Real', true); + +i1 = solve(c1 == c2, x1, 'Real', true); +i2 = solve(c1 == c4, x1, 'Real', true); +i3 = solve(c4 == 0, x1, 'Real', true); + +px = double([0 0 i1 i2 i3]); +py = double([0 subs(c2, x1, 0) subs(c1, x1, i1) subs(c4, x1, i2) subs(c4, x1, i3)]); + +xl = -0.05; +xh = 2.05; + +axis([-0.05 2.05 -0.15 5.15]) +hold on +for c = [c1 c2 c3 c4] + plot([xl, xh], [subs(c, x1, xl), subs(c, x1, xh)]); +end +xline(0); +plot([xl, xh], [0, 0]); +patch(px, py, [204/255 255/255 187/255]); +legend('2x1 + 3x2 = 6', '-3x1 + 2x2 = 3', '2x2 = 5', '2x1 + x2 = 4', 'x1 > 0', 'x2 > 0', 'feasible region'); +hold off +