How to formulate a linear programming model the manager of


How to formulate a linear programming model? The manager of a department store in Seattle is attempting to decide on the types and amounts of advertising the store should use. He has invited representatives from the local radio station, television station, and newspaper to make presentations in which they describe their audiences. The television station representative indicates that a tv commercial, which costs $15,000, would reach 25,000 potential customs. The breakdown of the audience is as follows male senior: 5000 female senior 5000 young male: 5000 young female 10000 the newspaper representative claims to be able to provide an audience of 10000 potential customers at a cost of $4000 per ad. The breakdown of the audience is senior male 4000. Senior female 3000 young male 2000 young female 1000 the radio station representative says the audience for one of the stations commercials which cost $6000 is 15,000 customers. The breakdown is as follows Senior male 1500 Senior female 15000 young male 4500 young female 7500 The store has the following advertising policy use at least twice as many radio commercials as news paper ads reach at least 100,000 customers reach at least twice as many young people as senior citizens make sure that at least 30% of the audience is female.

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