Introduce slack variables as necessary, then write the initial simplex tableau for the following linear programming problem.

Maximize	z=20x1+4x2
subject to:	2x1+	x2	8
	x1+	8x2	8
with	x10, x20

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Part 1

Introduce slack variables as necessary to convert the linear programming problem into a system of linear equations.

enter your response herex1+x2+s1=8

x1+8x2+enter your response here=8

Find the solutions that can be read from the simplex tableau.

	x1	x2	x3	s1	s2	s3	z
	6	0	10	3	0	0	0	40
	0	5	0	2	0	0	0	25
	0	0	0	0	4	25	0	20
	1	0	0	6	0	4	5	75

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Part 1

x1=enter your response here,

x2=enter your response here,

x3=enter your response here,

s1=enter your response here,

s2=enter your response here,

s3=enter your response here,

z=enter your response here

(Simplify your answers.)