The discussion focuses on optimizing the transportation costs for tourists traveling from an airport on the mainland to an island located 5 miles downshore and 3 miles offshore. The cost of land transport is $0.10 per mile per person, while water transport costs $0.12 per mile per person. To minimize total transportation costs, a mathematical approach is required to determine the optimal distances for land and water travel. A diagram illustrating the route is essential for visualizing the problem and facilitating calculations.
PREREQUISITESTravel planners, logistics managers, and anyone involved in optimizing transportation routes and costs will benefit from this discussion.
kcarl said:a local travel provider ferries tourists from the airport located on the shorew of the mainland to an island located 5 miles down shore and 3 miles out to the sea. transporting tourists on land costs .1 dollars/mile/person while travel across water costs .12 dollars/mile/person. determine how far tourists should be transported on land and sea so that the total cost of transportation is a minimum.