Kate and Alice Are Small-Town Ready-Mix Concrete Duopolists

Kate and Alice are small-town ready-mix concrete duopolists.The market demand function is where P is the price of a cubic yard of concrete and Q^d is the number of cubic yards demanded per year.Marginal cost is $80 per cubic yard.Suppose Kate enters the market first and chooses her output before Alice.What is Kate's profit maximizing output?

A) 2,000
B) 1,333.34
C) 1,000
D) 4,000