Step 1 :Define the variables: Let \(x_1\), \(x_2\), and \(x_3\) represent the number of newspaper ads, internet banner ads, and TV ads, respectively.
Step 2 :Set up the objective function: The objective function to maximize is \(5000x_1 + 3000x_2 + 11000x_3\), which represents the total number of women who see the ads.
Step 3 :Set up the constraints: The constraints are \(x_1 \leq 30\) (no more than 30 newspaper ads), \(x_2 \leq 60\) (no more than 60 internet banner ads), \(x_3 \leq 15\) (no more than 15 TV ads), and \(500x_1 + 20x_2 + 2000x_3 \leq 9000\) (total cost cannot exceed $9000).
Step 4 :Solve the problem using the simplex method. The optimal solution is \(x_1 = 15.6\), \(x_2 = 60\), and \(x_3 = 0\).
Step 5 :Since the number of ads must be an integer, round \(x_1\) down to 16.
Step 6 :Final Answer: The store should run \(\boxed{16}\) newspaper ads, \(\boxed{60}\) internet banner ads, and \(\boxed{0}\) TV ads to maximize its ad exposure.