Dorian Auto has a $$20,000$ advertising budget. Dorian can purchase full$-$page ads in two magazines: Inside Jocks $($IJ$)$ and Family Square $($FS$).$ An exposure occurs when a person reads a

Dorian Auto ad for the first time.

$$ The number of exposures generated by each ad in IJ is as follows: ads $16,2,500$ exposures;

ads $710,3,000$ exposures; ads $1115,10,000$ exposures. For example, $8$ ads in IJ would

generate $6(2,500)+2(3,000)=21,000$ exposures.

$$ The number of exposures generated by each ad in FS is as follows: ads $14,2,000$ exposures; ads $512,6,000$ exposures; ads $1315,8,000$ exposures. Thus, $13$ ads in FS would

generate $4(2,000)+8(6,000)+1(8,000)=64,000$ exposures.

Each full$-$page ad in either magazine costs $$1,000.$ Assume there is no overlap in the readership

of the two magazines. Formulate an IP to maximize the number of exposures that Dorian can

obtain with limited advertising funds.