Suppose in Problem 11 the cost of RAM falls to $50 per gigabyte. How many gigabytes of memory should you purchase now? Suppose additionally that your benefit for an additional gigabyte of memory rises to $1600 for the first gigabyte, also falling by one-half for each additional gigabyte. How many gigabytes of memory should you purchase now, with both the lower price and the larger benefit?

*13. Dana has purchased a $40 ticket to a rock concert. On the day of the concert she is invited to a welcome-home party for a friend returning from abroad. She cannot attend both the concert and the party. If she had known about the party before buying the ticket, she would have chosen the party over the concert. True or false: It follows that if she is rational, she will go to the party anyway. Explain.

*14. Yesterday you were unexpectedly given a free ticket to a Dave Matthews concert scheduled for April