1 Problem 1 (20 points) 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 the 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 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 setup a Linear Programming problem and solve for the advertising mix that maximizes their reach to audience? (18 points) b. Suppose you can convince UALR to increase the maximum limit of TV spots to 13. Will you do that? why or why not? (2 points) Hint: The problem is not as difficult as it seems to be