1. A perfectly competitive fisherman sells salmon at the current market price of $20 per kilogram. The fisherman has a fixed cost of $30 and a variable cost of Q2+5Q where Q is the kilograms of salmon the fisherman sells.

1. (15 marks) Write down the fishermans total revenue, total cost and profit functions.
2. (10 marks) Calculate how many kilograms of salmon he would need to sell to obtain a profit of $20.