Problem: You are the host of a late night talk show. You have two comedy writers that write jokes for you, Aidy and Pete. They write two kinds of jokes: jokes about politicians (Y) and jokes about popular culture (X).
In one day Aidy can write 10 political jokes or 40 popular culture jokes. Aidy's opportunity cost for each popular culture joke is 1/4 political jokes.
In one day Pete can write 30 political jokes or 30 popular culture jokes. Pete's opportunity cost for each popular culture joke is 1 political jokes.
At the end of the day you want the most number of jokes possible and you would like 1 political joke for every 1 popular culture joke.
If Aidy and Pete are your comedy writers and you allow them to work together where each could specialize, only requiring that in the end they have collectively provided you 1 political joke for every 1 popular culture joke, what is the most number of jokes they together could write in one day when coordinating their time in the most efficient way?
Please show work
A. 44 political jokes and 44 popular culture jokes
B. 18 political jokes and 18 popular culture jokes
C. 32 political jokes and 32 popular culture jokes
D. 41 political jokes and 41 popular culture jokes