A Port Authority Is in the Process of Deciding the Optimal

Essay

A port authority is in the process of deciding the optimal depth (in feet)of a harbor dredging project.Both commercial shippers and pleasure boaters use the harbor.The total cost of dredging the harbor (in hundreds of thousand dollars)is C = 2F + 0.25F2,where F is harbor depth in feet.The total benefits to commercial shippers and pleasure boaters are: BCS = 18F - 0.5F2 and BPB = 8F - 0.25F2,respectively.
(a)Determine the optimal harbor depth.