1) what's is the range of optimality for each product?2) what is the reduced cost for those listed and what do they mean? 3) what is the range of feasibility for each constraint?4) what is the shadow price for any listed and what do they mean?5) develop a multiple change equation for the objective coefficients (function) ie top part of the sensitivity report and determine if it is feasible Develop a multiple change equation for the constraints ie bottom part of the sensitivity report and determine if it is feasible.

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The XYX Corporation markets its product through four types of advertisements: radio, tv, newspaper, and direct mail. The company has an advertising budget of $90,000 and would need to spend $1500 per radio ad and would have 10,000 audience coverage; $1,800 per tv ad with 50,000 audience coverage; $5000 per newspaper ad which would reach 25,000 audience coverage; and $1200 for each direct mail ad and audience coverage of 34,000. The company has determined that they would only wish to have maximum radio ads of 35 and a maximum number of tv ads of 25 due to the costs. However, they feel direct mail is a good way to reach people and want to set the minimum direct mail ads to 50. Finally, the amount spent on advertising through both tv and direct mail should be no more than 67% of their budget, or $60,300. Step 1. Define variables x1 = radio ads x2 = television ads x3 = newspaper ads x4 = direct mail ads Step 2. Identify the objective function Max audience coverage (exposure) = 10000x1 + 50000x2 +25000x3 + 34000x4 Step 3. Constraints Budget Contraints Max exposure radio Max exposure TV Min exposure mail Tv Radio combo $1500x1+1800x2 +5000x3 +1200x4 90,000 x1 The XYX Corporation markets its product through four types of advertisements: radio, tv, newspaper, and direct mail. The company has an advertising budget of $90,000 and would need to spend $1500 per radio ad and would have 10,000 audience coverage; $1,800 per tv ad with 50,000 audience coverage; $5000 per newspaper ad which would reach 25,000 audience coverage; and $1200 for each direct mail ad and audience coverage of 34,000. The company has determined that they would only wish to have maximum radio ads of 35 and a maximum number of tv ads of 25 due to the costs. However, they feel direct mail is a good way to reach people and want to set the minimum direct mail ads to 50. Finally, the amount spent on advertising through both tv and direct mail should be no more than 67% of their budget, or $60,300. Step 1. Define variables x1 = radio ads x2 = television ads x3 = newspaper ads x4 = direct mail ads Step 2. Identify the objective function Max audience coverage (exposure) = 10000x1 + 50000x2 +25000x3 + 34000x4 Step 3. Constraints Budget Contraints Max exposure radio Max exposure TV Min exposure mail Tv Radio combo $1500x1+1800x2 +5000x3 +1200x4 90,000 x1