content area top Part 1 Introduce slack variables as necessary and then write the initial simplex tableau for the given linear programming problem. Maximize z equalsx 1plus 7 x 2 subject to x 1plus 2 x 2less than or equals 12 9 x 1plus x 2less than or equals 8 6 x 1plus 2 x 2less than or equals 7 with x 1greater than or equals 0 comma x 2greater than or equals 0