Formulate but do not solve the following exercise as a linear programming problem. Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type A vessel, x, has 55 deluxe cabins and 165 standard cabins, whereas a type B vessel, y, has 85 deluxe cabins and 110 standard cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 660 standard cabins for their 15-day cruise in May. It costs $47,000 to operate a type A vessel and $57,000 to operate a type B vessel for that period. How many of each type of vessel should be used in order to keep the operating costs, C (in dollars), to a minimum? Minimize C = subject to the constraints deluxe cabins standard cabins x 20 y 20