Find the Quantity Q Which Maximizes Profit If the Total $R(q)=8 q-0.02 q^{2}$

Short Answer

Find the quantity q which maximizes profit if the total revenue, R(q), and the total cost, C(q), are given in dollars by $R(q)=8 q-0.02 q^{2}$ $C(q)=300+1.9 q$ , where $0 \leq q \leq 600$ units.
Round to the nearest whole number.