3. A clothing retailer is planning to advertise its new brand. Advertising alternatives include television, radio, and newspaper. Audience estimates, costs, and maximum media usage limitations are as shown: Constraint Television Radio Newspaper Audience per advertisement 10,000 4,000 Cost per advertisement $1,000 S200 $600 Maximum media usage 20 15 1.800 8 The advertising budget is $30,000. To ensure a balanced use of advertising media, radio advertisements must NOT exceed 30 percent of the total number of advertisements authorized. The retailer wants to determine the optimal number of advertisements for each type of media to maximize the total audience reached. a. (10 points) Formulate the problem into a LP model. b. (10 points) What is the optimal solution, and what is the optimal objective function value? Use Excel Solver. Provide your answer and sensitivity reports in separate worksheets). Optimal solution: Optimal objective function value: C. (5 points) Suppose that the maximum media usage for television has increased from 20 to 21. Then, according to the sensitivity report, how does the optimal objective function value change? d. (5 points) Suppose an extra $100 has allocated to the advertising budget. Then, according to the sensitivity report, how does the optimal objective function value change