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In: Statistics and Probability

A primal maximization problem is given. Maximize f = 20x1 + 10x2 subject to 3x1 +...

A primal maximization problem is given. Maximize f = 20x1 + 10x2 subject to 3x1 + 2x2 ≤ 90 x1 + x2 ≤ 40 .

(a) Form the dual minimization problem. (Use y1 and y2 as the variables and g as the function.)

Minimize g =

subject to =

(b) Solve both the primal and dual problems with the simplex method.

primal	x₁	=
primal	x₂	=
primal	f	=
dual	y₁	=
dual	y₂	=
dual	g	=

Expert Solution

a)

dual problem is

b)

solution of dual problem

solution of primal problem

orchestra answered 2 years ago

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