Habib Bank Limited estimates the equation of demand of its product as:

Q = 55 - 0.5P - (where P = price and Q = Quantity of output),

and its total cost of production as

TC = 20 + Q + 0.2Q²Where TC = total cost and Q = Quantity of output)

a.The output level that will maximize total profit and the amount of revenue and profit that Habib Bank would receive at an optimal level of production?

b. The output level that minimizes average total cost?