2. Island Water Sports is a businessthat provides rental equipment and instruction for a variety ofwater sports in a resort town. On one particular morning, adecision must be made of how many Wildlife Raft Trips and how manyGroup Sailing Lessons should be scheduled. Each Wildlife Raft Triprequires one captain and one crew person, and can accommodate sixpassengers. The revenue per raft trip is $120. Ten rafts areavailable, and at least 30 people are on the list for reservationsthis morning. Each Group Sailing Lesson requires one captain andtwo crew people for instruction. Two boats are needed for eachgroup. Four students form each group. There are 12 sailboatsavailable, and at least 20 people are on the list for sailinginstruction this morning. The revenue per group sailing lesson is$160. The company has 12 captains and 18 crew available thismorning. Develop the linear programming problem and solve thelinear programming model to maximize the number of customers servedwhile generating at most $1800 in revenue and honoring allreservations. (Hint: You need 2 decision variables to develop thisLP problem.)
