This year i will have 180 hours free in which i can watch tv or watch movies. each movie lasts 2 hours, and i'll be able to watch each tv show for 20 hours. i have $600; each movie costs $10, and each game costs $40. (a) if i make 3 new friends every time i get a new video game, and 1 new friend every time i watch a movie, how many movies should i watch this year to maximize the number of new friends i make?
(b) if i instead make 5 new friends every time i get a new video game but i still make 1 friend per movie, then how many movies should i watch this year to maximize the number of new friends i make?
(c) suppose i want to make as many new friends as possible. what is the smallest whole number of new friends each new video game must give me (assume i make the same number of new friends for each game i buy and that i make 1 friend per movie) in order for it to make sense for me to buy only video games this year?