(Solved): Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type- ...

Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins and 160 standard cabins, whereas a type-B vessel has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for their 15-day cruise in May. It costs $\$42,000$ to operate a type-A vessel and $\$51,000$ to operate a type-B vessel for that period. How many of each type of vessel ( $x$ type-A and $y$ type-B) should be used in order to keep the operating costs to a minimum? $(x,y)=()$ What is the minimum cost?