Jen spends her daily income of $35 on two goods, MP3 music downloads (X) and jumbo diet sodas (Y)His budget line is 2X + Y = 35 . His utility function is represented byU = x ^ 2 + y ^ 2 + 5000 Decide on Jen's optimum consumption bundle : how many MP3 music downloads she should purchase and how many diet sodas she should buy order to get maximum satisfaction?

Qwest airlines has implemented a program to recycle all plastic drink cups used on their aircraft. their goal is to generate $7 million by the end of the recycle program's five-year life. each recycled cup can be sold for $0.005 (1/2 cent). a. how many cups must be recycled annually to meet this goal? assume uniform annual plastic cup usage and a 0% interest rate. b. repeat part (a) when the annual interest rate is 12%. c. why is the answer to part (b) less than the answer to part (a)?