Solve the given linear programming problem using the Duality Method. Show work by creating the primal and dual augmented matrices, setting up the initial simplex tableau, circling the first pivot element, and giving the final simplex tableau. State the optimal solution and the optimal value for the final answer. Minimize: C= 24x+18y+24z Subject to: 3x+2y+z>=4 x+y+3z>=6 x>=0, y>=0, z>=0

Name: Solve the given linear programming problem using the Duality Method.
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Solve the given linear programming problem using the Duality Method. Show work by creating the primal and dual augmented matrices, setting up the initial simplex tableau, circling the first pivot element, and giving the final simplex tableau. State

Question

Solve the given linear programming problem using the Duality Method. Show work by creating the primal and dual augmented matrices, setting up the initial simplex tableau, circling the first pivot element, and giving the final simplex tableau. State the optimal solution and the optimal value for the final answer.

Minimize: C= 24x+18y+24z

Subject to:

3x+2y+z>=4

x+y+3z>=6

x>=0, y>=0, z>=0