Step 1 :Define the variables: Let \(x_{1}\) be the number of newspaper ads, \(x_{2}\) be the number of Internet banner ads, and \(x_{3}\) be the number of TV ads.
Step 2 :Set up the objective function: The objective function is \(5000x_{1} + 3000x_{2} + 11000x_{3}\), which we want to maximize.
Step 3 :Set up the constraints: The constraints are \(500x_{1} + 20x_{2} + 2000x_{3} \leq 9000\) (budget constraint), \(x_{1} \leq 30\) (newspaper ad constraint), \(x_{2} \leq 60\) (Internet banner ad constraint), and \(x_{3} \leq 15\) (TV ad constraint).
Step 4 :Set up the initial simplex tableau: The initial simplex tableau is as follows: \[\begin{array}{cccccccc} & x_{1} & x_{2} & x_{3} & s_{1} & s_{2} & s_{3} & s_{4} & \text{RHS} \\ z & -5000 & -3000 & -11000 & 0 & 0 & 0 & 0 & 0 \\ s_{1} & 500 & 20 & 2000 & 1 & 0 & 0 & 0 & 9000 \\ s_{2} & 1 & 0 & 0 & 0 & 1 & 0 & 0 & 30 \\ s_{3} & 0 & 1 & 0 & 0 & 0 & 1 & 0 & 60 \\ s_{4} & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 15 \\ \end{array}\]