Nicholas Potter is running for office and is about to begin an advertising campaign promoting his election manifesto and agenda. Each TV ad costs $10,000, while each newspaper ad costs $4,000. Nick has set the following goals, in rank order:

Rank 1: The total advertising budget of $240,000 should not be exceeded. There is no way he can spend more than this budget allocation.

Rank 2: There should be at least 10 TV ads and at least 20 newspaper ads.

Rank 3: The total number of people reached by the ads should be at least 9 million.

Each television spot reaches approximately 300,000 people. A newspaper advertisement is read by about 150,000 people. Set up and solve this goal programming problem to find out how many of each type of ad Nick should place.

1. Write down the objective function if all goals were equally important. Also, write the constraints.
2. Solve using weighted method assuming equally important goals.
   1. How many TV ads should Nick Buy?
   2. How many newspaper ads should Nick buy?
3. Solve using Rank method-
   1. How many TV ads should Nick buy?
   2. How many Newspaper ads should Nick buy?
   3. How much money is going to be spent for this?
   4. Which goals are fully satisfied/met?
   5. Is there a goal that is under-achieved? If yes, which ones?