1. Rob enjoys rock concerts and the opera. The table shows his utility from each activity: Event Utility from Utility from
per month rock concerts Operas
1 100 60
2 180 110
3 240 150
4 280 180
5 300 200
6 310 210
Rob has $100 a month to spend on concerts. A rock concert ticket is $20, and an opera ticket is $10. (Show your work for each question) a. Draw a graph that shows Rob's budget line. (3) b. How many rock concerts and how many operas does he attend? (4) c. If the price of a rock concert decreases to $10, how many rock concerts and operas will Rob attend? (4) d. Rob wins a lottery and has more than enough money to satisfy his desires for rock concerts and opera. He decides that he would like to see 5 concerts each month. How many rock concerts and how many operas does he now attend? (4)