A laptop manufacturer can produce laptops at a cost of $400 per unit and incurs a fixed cost of $100,000 which is independent of the quantity produced. Currently the selling price of a laptop is $1400 and the resulting demand (or quantity sold, since both are the same) is 220,000 units. It is also known that a $2 decrease in price will increase the demand by 200 units. Assume the demand function is linear and fully known.

A. What is the maximum (highest) profit?

B. Assuming there is no fixed cost is (so fixed cost is $0 instead of $100,000), how high can the variable cost (which is $400 per unit currently) go so that the laptop manufacturer at least breaks even (or equivalently makes a non-negative maximum profit)?