stats linear programming question Lake Shore Department Store chain has hired an advertising firm to determine the
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stats linear programming question
Lake Shore Department Store chain has hired an advertising firm to determine the types and amount of advertising it should have for its stores. The four types of advertising available are television and radio commercials, Internet and newspaper ads. The retail chain desires to know the number of each type of advertisement it should purchase in order to maximize exposure. It is estimated that each ad or commercial will reach the following potential audience and cost the following amount. Exposure Advertisin g (People/Ad or Commercial) Television Commercial 60, 000 Radio Commercial 30, 000 Newspaper Ad 25,000 Internet Ad 50, 000 The company must consider the following resource constraints. The budget limit for advertising is $350, 000. The television station has time available for 4 commercials. The radio station has time available for 12 commercials. The Internet website has space available for 10 ads. The newspaper has space available for 6 ads. The advertising agency has time and staff available for producing no more than a total 30 commercials and/or ads. (a) The objective function for this problem is: minimize Z = 60, 000.121 + 30, 000mg + 25, 00033 + 50, 000354 minimize Z = 15, 000ml + 6, 500332 l 6, 000133 + 7, 000:1:4 maximize Z = 60, 000.121 + 30, 000mg i 25, 000:1:3 l 50, 000%; maximize Z = 15, 000261 l 6, 500332 l 6, 000363 l 7, 000:1:4 None of the above. (b) Please choose the correct constraint: 60, 000x1 + 30, 000x2 + 25, 000x3 + 50, 000x4 30 ox1 + x2 + x3 + 4 + 30 ox1 + x2 + 23+ 4 = 30 None of the above. (d) Please choose the correct constraint: ox1
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