MHB Lowest Cost Airport-Island Ferry: Determine Optimal Route

[kcarl]

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.

 

[Prove It]

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.

Start by drawing a diagram.