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 Q^d = 20,000 - 200P 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 the difference in Kate's profit when she enters the market first compared to when Kate and Alice choose their outputs simultaneously?

A) When Kate enters the market first, her profit is $13,333.33 higher.
B) When Kate enters the market first, her profit is $5,000 higher.
C) When Kate enters the market first, her profit is $1,111.11 higher.
D) When Kate enters the market first, her profit is $3,888.89 lower.