The Biggs Department Store chain has hired an advertising firm to determine the types and amount of advertising it should invest in for its stores. The three types of advertising available are television and radio commercials 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 (people/ad or commercial) Cost (US$) TV commercial 40,000 16,000 Radio commercial 28,000 14,000 Newspaper ad 29,000 8,000   The company must consider the following resource constraints: The budget limit for advertising is $100,000.  The television station has time available for 6 commercials. The radio station has time available for 10 commercials. The newspaper has space available for 5 ads. The advertising agency has time and staff available for producing no more than a total of 12 commercials and/or ads.  The number of Newspaper ads cannot be more than twice the number of Radio commercials.   If this problem is formulated as an integer and also a linear programming problem (separately), the maximization ("Z", the optimal solution) of the exposure would be, respectively:单项选择题

A

Integer Programming: x1 = 6; x2 = 4; x3 = 6; Linear Programming: x1 = 6; x2 = 4.57 ; x3 = 5;

B

Integer Programming: x1 = 6; x2 = 4; x3 = 5; Linear Programming: x1 = 6; x2 = 4.57 ; x3 = 5;

C

Integer Programming: x1 = 1; x2 = 3; x3 = 5; Linear Programming: x1 = 1.5625; x2 = 2.5 ; x3 = 5;

D

Integer Programming: x1 = 1; x2 = 3; x3 = 4; Linear Programming: x1 = 1.5625; x2 = 2.5 ; x3 = 5;

E

None of the above

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