A recession greatly affects the daily market demand for Maine lobsters, which can be described as QD = 3000 + 250I - 250P (I is the average American income in $1000s). Thanks to the recession, that average income falls from $32,000 to $24,000. All lobster fisherman are identical and face the same relationship between their total daily costs and daily output (q): TC = 1/2*q^2 + 4q + 200, which yields a marginal cost of MC = q + 4. You should assume that market output is the sum of all firm output (Q = N*q, where N is the number of lobster fishermen). Use this information to answer the following questions.

3.5.

After the recession, the 250 lobster fishermen continue to go out and fish. What is each fisherman's profit-maximizing output now?