01maximize $200 x_0 + 150 x_1 +100 x_2 + 100 x_3$\\ \\subject to \\$10 x_0 + 5 x_1 \le 1000$\\$3 x_1+8x_2+2x_3 \le 2000$\\$2 x_1 + 2 x_2 + 8x_3 \le 3000$\\$x_1, x_2, x_3, x_4 \ge 0$

print 'RubySage' RubySage

p=MixedIntegerLinearProgram()x=p.new_variable(integer=True, nonnegative=True)p.set_objective(200*x[0]+150*x[1]+100*x[2]+100*x[3])p.add_constraint(10*x[0]+5*x[1]

01 -- Sage http://localhost:8080/home/admin/1/print

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02maximize $10 x_0 + 20 x_1 +15 x_2 + 17 x_3 +10 x_4 + 30 x_5$\\ \\subject to \\$5 x_0 + x_1 +8 x_2 + 9 x_3 + 5 x_4 + 4 x_5 \le 500000$\\$x_1, x_2, x_3, x_4 = 0,1$

p=MixedIntegerLinearProgram()x=p.new_variable(binary=True, nonnegative=True)p.set_objective(10*x[0]+20*x[1]+15*x[2]+17*x[3]+10*x[4]+30*x[5])p.add_constraint(5000*x[0]+10000*x[1]+8000*x[2]+9000*x[3]+5000*x[4]+40000*x[5]