In an artisan candy factory, the total cost C(q) of their production is given by the following function C(q)=600+2.2q The production revenue from the sale of sweets can be calculated as: R(q)=10q-0.006q Where q is the amount produced per shift, which varies from

a) Find the quantity q that maximizes the profit from selling sweets. Remember profit is calculated as revenue minus production cost.

b) What quantity (q) would lead to the lowest possible profit?