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    The SMM Company,which is manufacturing a new instant salad machine, has $350,000 to spend on advertising. The product is only to be test marketed initially in the Dallas area. The money is to be spent on an advertising blitz during one weekend( Friday, Saturday, Sunday) in January and SMM is limited to television advertising.
    The company has three options available: day time advertising, everything news advertising and the Super Bowl. Even though the Super Bowl is a national telecast, the Dallas Cowboys will be playing in it and hence, the viewing audience will be epecially large in the Dallas area. A mixture of one minute TV sports is desired. The table below gives pertinent data:

    Cost Per Ad Estimated New Audience Reached with Each Ad
    Day Time $5000 3000
    Evening News $7000 4000
    Super Bowl $100,000 75000

    SMM has decided to take out at least one ad in each option. Further, there are only two Super Bowl ad spots available. There are 10 day time spots and 6 evening spots available daily. If SMM wants to have at least 5 ads per day, but spend no more than $50,000 on Friday and no more than $75,000 on Saturday, formulate a linear program to help SMM decide how the company should advertise over the weekend.

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    Solution Preview

    OK, first set up the variables. Suppose, we order
    x1 Day Time ads on Friday,
    x2 Evening Time ads on Friday
    x3 Day Time ads on Saturday
    x4 Evening Time ads on Saturday
    x5 Day Time ads on Sunday
    x6 Evening Time ads on Sunday
    x7 Super Bowl ads in total

    We obviously want to maximize the audience reached. So, let's formulate the ...

    Solution Summary

    Formulate a linear program to help SMM decide how the company should advertise over the weekend.