David hilbert (1862–1943) envisioned a hotel with countably infinitely many rooms, all of which are occupied. what should the management (who always want to ) do if (a) a new guest arrives; (b) countably infinitely new guests arrive; (c) countably infinitely many buses arrive each carrying countably infinitely many new guests.

When the national economy goes from bad to better, market research shows changes in the sales at various types of restaurants. projected 2011 sales at quick-service restaurants are $164.8 billion, which was 3% better than in 2010. projected 2011 sales at full-service restaurants are $184.2 billion, which was 1.2% better than in 2010. how will the dollar growth in quick-service restaurants sales compared to the dollar growth for full-service places?

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?

How has apple been able to sustain its competitive advantage in the smartphone industry? a. by reducing its network effects b. by targeting its new products and services toward laggards c. by driving the price for the end user to zero d. by regularly introducing incremental improvements in its products