Complete the LP model, graph, and solutions
David plans to start a new business called Rafting Explorers, which will rent canoes and kayaks to people to travel 10 miles down the Patapsco River in Maryland State Park. He has $45,000 to purchase new boats. He can buy the canoes for $600 each and the kayaks for $750 each. His facility can hold up to 65 boats. The canoes will rent for $25 a day, and the kayaks will rent for $30 a day. How many canoes and how many kayaks should he buy to earn the most revenue if all boats can be rented each day?
a. Formulate a linear programming model for this problem
b. Solve this model by using graphical analysis