56. Q&H Company advertises during soap operas andfootball games. Each soap opera ad costs $75,000,and each football game ad costs $130,000. If S soapopera ads are purchased, they will be seen by 4S1y2million men and 22S1y2 million women. If F footballads are purchased, they will be seen by 28F1y2 millionmen and 10F1y2 million women. The company wantsat least 60 million men and at least 50 million womento see its ads.a. Determine how to minimize Q&H’s cost ofreaching the required number of viewers.b. How does this model violate the proportionalityand additivity assumptions of LP?c. Suppose that the number of women (in millions)reached by F football ads and S soap opera ads is8F1y2 1 22S1y2 2 0.3(FS)1y2. Why might this bea more realistic representation of the number ofwomen viewers seeing Q&H’s ads?
56. Q&H Company advertises during soap operas and
football games. Each soap opera ad costs $75,000,
and each football game ad costs $130,000. If S soap
opera ads are purchased, they will be seen by 4S1y2
million men and 22S1y2 million women. If F football
ads are purchased, they will be seen by 28F1y2 million
men and 10F1y2 million women. The company wants
at least 60 million men and at least 50 million women
to see its ads.
a. Determine how to minimize Q&H’s cost of
reaching the required number of viewers.
b. How does this model violate the proportionality
and additivity assumptions of LP?
c. Suppose that the number of women (in millions)
reached by F football ads and S soap opera ads is
8F1y2 1 22S1y2 2 0.3(FS)1y2. Why might this be
a more realistic representation of the number of
women viewers seeing Q&H’s ads?
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