the campus radio station would spur some interest in the array of study tour and study abroad options he had secured. The communications director for the college had other ideas; she favored a social media campaign consisting of tweets and Facebook postings. "This is the most ridiculous thing I ever heard of$,"$ he whined to the dean. The communications director's market research revealed the following:

Medium Exposure Cost

Newspaper $($N$),5,000,$$$500$

Radio $($R$),3,000,$$$250$

Twitter $($T$),700,$$$25$

Facebook $($F$),200,$$$15$

The advertising budget is $$3500,$ but there is no requirement that all the money be spent. The newspaper has only four issues before the end of the semester, but the radio is a $24/7$ operation and has two dozen $30$ second slots available. Facebook postings must be alternated with the rest of the mindless drivel posted on the college page; thus there is space for only three postings before the end of the semester. Twitter is complicated by the $140-$character requirement. The communications director feels she needs five tweets to convey a single message about tours and semesters abroad, so for one message, the cost would be $$25$ for each of the five components of the single ad$.$ Due to thumb fatigue, she feels that she has only $2800$ characters left in her thumbs before the end of the semester. $($A side note $-$ During the intersession period, she plans to embark on a strict regimen of thumb yoga to prepare for the coming semester.$)$ Which of these is an appropriate constraint for this scenario?

$5,000N+3,000R+700T+200F3,500$

$500N+250R+25T+15F3,500$

$N+R+T+F36$

$T2,800$

None of the above