Imagine that X corp and Y corp compete as a Cournot duopoly producing batteries. They produce homogenous and are reaching market at around the same time. The market price is set by the demand function=300_#$%&' and each firm faces a constant marginal cost of $2 per unit. Units are in the millions, so round to the hundredths place.

i. How many batteries will each firm produce in the Nash equilibrium outcome?

ii. What will be the market price for batteries in the Nash equilibrium outcome?

iii. What will their profits be?

iv. Would each firms' quantity change if X corp reached market first? If so, what would each firms' profits be?