Question

An ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and Internet ads. Information about each medium is shown below.

Medium	Cost Per Ad	# People Reached	Exposure Quality
TV	1,000	20,000	35
Radio	600	10,000	45
Internet	300	60,000	5

The number of Internet ads should be at least one third of all ads. Also, the advertising budget is $18,000. Since this is a special program, we would like to develop a model that will minimize the number of people reached while ensuring a minimum exposure quality of 300. Define the decision variables as follows:

Let T = the number of TV ads

Let R = the number of radio ads

Let I = the number of Internet ads

1. What is the objective function?

  

Group of answer choices

Max 20,000 T + 10,000 R + 60,000 I

Min 20,000 T + 10,000 R + 60,000 I

Max 20 T + 10 R + 50 I

Max 20,000 T + 10,000 R + 80,000 I

Max 35 T + 40 R + 5 I

Answer 1

In this case, it is given that model is developed with an aim to minimize the number of people reached. So the objective functions is as follows:

Correct Answer: Min 20,000 T + 10,000 R + 60,000 I