A small lake on the island contains two species of fish: hake and redfish. The hake are predators that eat the redfish. The fish population in the lake varies periodically with period 180 days. The number of hake varies between 500 and 1500, and the number of redfish varies between 1000 and 3000. The hake reach their maximum population 30 days after the redfish have reached their maximum population in the cycle. Required:
Sketch a graph that shows two complete periods of the population cycle for these species of fish. Assume that t =0 corresponds to a time when the redfish population is at a maximum.