You have to set up an advertising campaign and selected four types of advertising: TV, Radio, Billboards and Newspapers. A summary of information for the formulation of a LP formulation is as follows: the cost for each advertising type, the smallest number of audience to be reached for each advertising type, and the minimum number of advertisements for each advertising type:

 

Additional information:

          

- (A)  There should be not more than six ADS on TV or Radio or some combination of the two.

- (B)  Amount spend on billboards and newspapers must be at least the  amount spend of TV AD's.

- (C)  Amount spend on TV and Radio must not exceed 50% of the expenditure on Billboards.

- (D) Monthly budget for advertising is R15 000.00. You are requested to use the entire budget.

 

a)      Formulate the above scenario into a LP solution to show how many AD's should you place to maximize the total number of people reached.                                                        (19)

 

 

Question 2 (17 marks)

 

You are a dietician for the local soccer team. You want to determine a balanced nutritional lunch for all players participating in soccer practice. The following is the national nutritional accepted requirements for a proper lunch for athletes:

 

          -        Calories             - between 900 and 1500

          -        Iron                    -  at least 5 MG

          -        Fat                      -  no more than 50 GM's

          -        Protein               -  at least 26 GM's

          -        Carbohydrates   -  between 30 and 60 GM's

 

You select a menu from 7 basic food items with corresponding national nutritional value for each food item. It is summarized as follows:

Type of AD TV os t P er A D R 8 0 0 Mini mu m Aud ienc e Rea che P per AD 30 000 Min imu E Nu mb er per AD 10