This is the full question.

Suppose a fish tank has K fish in it. There are two periods of fishing, and if y fish are caught in period 1, then remaining K y fish reproduce at rate r > 0 so there will be (K y) (1 + r) fish in the fish tank in period 2. James is the only fisherman, and his utility if he catches s fish is given by the utility function u(y) = ln(y). Note that u (0) = . James discounts period 2 utility by (0, 1) so his utility if he catches s1 fish in period 1 and s2 fish in period 2 is u(y1) + u(y2). 1. Write down Jamess utility maximization problem as a constrained optimization problem with three inequality constraints. 2. What is the optimal amount of fish he catches in period 1? Also, in period 2?