1 Q & H Company advertises on soap operas and football games. Each soap opera ad costs $50,000, and each football game ad costs $100,000. Giving all figures in millions of viewers, if S soap opera ads are bought, they will be seen by 5S men and 20S women. If F football ads are bought, they will be seen by 17F men and 7F women. Q & H wants at least 40 million men and at least 60 million women to see its ads.

a Formulate an NLP that will minimize Q & H’s cost of reaching sufficient viewers.

b Does the NLP violate the Proportionality and Additivity Assumptions?

c Suppose that the number of women reached by F football ads and S soap opera ads is 7F 20S 

0.2FS. Why might this be a more realistic representation of the number of women viewers seeing Q & H’s ads?