Sal Snake CEO of Snakes Oil Corporation has come to Easybuck

Sal Snake, CEO of Snake\'s Oil Corporation, has come to Easybuck to negotiate some oil deals. He must spend a full week in the frontier boomtown. Money comes easy in Easybuck, but rent isn\'t cheap. Easybuck has only two hotels, both of which make customers pay in advance for the number of nights they will stay. The High Rent Hotel charges $1,000 per day $5,000 one-t>me fee for use of an executive meeting suite. At the Rising Sums Hotel, which likes to entice customers *n to gamble in the hotel casino but wants to discourage them from hanging out too long, the rent doubles each day from a base rate of $300 per day for a person who also wants to use an executive meeting suite. Sal wants to stay in the same hotel and use the executive suite for seven days. Which hotel should he choose? Complete the following fee schedules for renting the hotel\'s room plus executive meeting rooms: Write a function that gives the total cost of renting the rooms at the High Rents Hotel for n days. Write a function that gives the total cost of renting the rooms at the Rising Sums Hotel for n days. Use your functions to predict the cost of Sal\'s stay if he decides to extend his stay to 14 days instead of 7 days.

Solution

High Rentz Rising sums Length of stay Total cost Length of stay Total cost 1 5000 1 300 2 6000 2 600 3 7000 3 1200 4 8000 4 2400 5 9000 5 4800 6 10000 6 9600 7 11000 7 19200 Total 56000 38100 b) H(n) 1000n+5000 R(n) 300(2^(n-1)) c) H(14) 19000 R(14) 2457600 For 7 days Hotel Rising Suns he should choose For 14 days High Rentz he should choose.