Continuing the story in the previous problem about roommates Tom and Jerry: consider what would happen if Tom (the music-lover) were to offer Jerry 5 cookies in exchange for 8 hours of playing loud music.

(a) Recall that before this trade, there were zero hours of music, and each person had 10 cookies of their own. What would the be values for hours of music M, Tom's cookies CT , and Jerry's cookies CJ after the trade?