Express the problem as a system of equations using slack variables. (Use s₁, s₂, ... for the slack variables.) Maximize

z = 7x₁ + 6x₂ + 5x₃ + 2x₄,

subject to

x1	+	5x2	+	7x3	+	x4		82
3x1	+	6x2	+	12x3				50
2x1			+	15x3	+	19x4		240
x1		0, x2		0, x3		0, x4		0.

first equation
second equation
third equation
objective equation