Bob has a concession at yankee stadium. he can sell 500 umbrellas at exist10 each if it rains. (the umbrellas cost him exist5 each.) if it shines, he can sell only 100 umbrellas at exist10 each and 1000 sunglasses at exist5 each. (the sunglasses cost him exist2 each.) he has exist2500 to invest in one day, but everything that isn't sold is trampled by the fans and is a total loss. this is a game against nature. nature has two strategies: rain and shine. bob also has two strategies: buy for rain or buy for shine. find the optimal strategy for bob assuming that the probability for rain is 50%.

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)