UALR is planning a campaign to increase its enrollment. The university has budgeted up to $8,000 per week for local advertising. The money may be allocated to different promotional media. UALR is considering four promotional media: newspapers, TV spots, and two types of radio advertisements. Their goal is to reach the largest possible high-potential audience through various media. Table 1 presents the number of potential students reached by making use of an advertisement in each of the four media.
It also provides the cost per advertisement placed and the maximum number of ads that can be purchased per week.

Table 1: Data for UALR Advertising Campaign

Medium Audience Reached Cost ($ ) Maximum
per Ad. Ads per week
TV Spot (1 minute) 5,000 800 12
Newspaper (full-page) 8,500 925 5
Radio spot (30 sec.) 2,400 290 25
Radio spot (60 sec.) 2,800 380 20

UALR's contractual arrangements require that at least five radio spots be placed each week. Moreover, they also feel that in order to get a broad-scoped advertising campaign they should spend no more than $1,800 on radio advertising every week.

a. Can you set up a Linear Programming problem and solve for the advertising mix that maximizes their reach to the audience?

b. Suppose you can convince UALR to increase the maximum limit of TV spots to
Will you do that? why or why not?

Answer rating: 100% (QA)

ANSWER a Maximize 5x 85y 24z 28w Subject to x y z w 12 y z w 5 z w 25 z w 20 x y z w 0 b Yes I would ... View the full answer