Hester’s Hatchery raises fish. At the end of the current season she has 1,800 fish in the hatchery. She can harvest any number of fish that she wishes, selling them to restaurants for $10 a piece. Because big fish make little fish, for every fish that she leaves in the hatchery this year, she will have two fish at the end of next year. The price of fish is expected to be $10 each next year as well. Hester relies entirely on income from current fish sales to support herself. a. How many fish should Hester harvest if she wants to maximize the growth of her stock of fish from this season to nex

Question

Hester’s Hatchery raises fish. At the end of the current season she has 1,800 fish in the hatchery. She can harvest any number of fish that she wishes, selling them to restaurants for $10 a piece. Because big fish make little fish, for every fish that she leaves in the hatchery this year, she will have two fish at the end of next year. The price of fish is expected to be $10 each next year as well. Hester relies entirely on income from current fish sales to support herself.  a.  How many fish should Hester harvest if she wants to maximize the growth of her stock of fish from this season to nex