Linear Systems

Your media communications company is pitching an ad campaign for a new gadget maker to MegaGadget Corp. This advertising blitz will be conducted in the greater-Westfield-Springfield-Holyoke area and can use a mix of Television time, Radio time, and Newspaper ads. Information about each advertising medium is shown below. Medium Cost Per Ad Placed

of consumers reached per ad medium Measure of Exposure Quality per ad medium TV $500 10000 30 Radio $100 4000 40 Newspaper $300 2000 25
Management has decreed that the advertising campaign must achieve a total exposure quality of at least 500 units. They have also decieded that the number of TV ads cannot exceed the number of radio ads by more than 5. Finally, the campaign has a total advertising budget is $100,000.

REQUIRED: Develop a linear programming model that will maximize the actual number of individual reached and which expresses all relevant constraints.

NOTE: YOU DO NOT HAVE TO SOLVE THIS LP PROBLEM. All you need to provide below is the proper and complete OBJECTIVE FUNCTION as well as all relevant CONSTRAINTS.
Linear Systems