Question: Congratulations! You have become the captain of Circus Cruises premier luxury ship, the Liberty Bell. You will pilot the ship from San Diego to Seattle on a 4 day cruise of 1250 miles. As captain, you can choose among several different engine/throttle settings on the Liberty Bell to minimize the number of gallons of fuel used on the trip. The table below shows the fuel consumption (gallons per hour) and cruising speeds (miles per hour) of various engine settings.

(a) Formulate an LP to minimize total fuel consumed. You must arrive in Seattle in no later than 96 hours after departure.

(b) Use LINDO to solve your model. How much time should you spend operating the Liberty Bell in each engine/throttle setting?

(c) Can any fuel be saved if the cruise is a 5 day cruise (120 hours)? If so, how much?