A Market That Follows the Price Leadership of a Barometric $$Q D M = 800 - 0.50 P$$

Essay

A market that follows the price leadership of a barometric firm has the following demand function:
$$Q D M = 800 - 0.50 P$$ The follower firms have the following aggregate marginal cost function:
$$M C F = 2 Q M C$$ The barometric firm has a horizontal marginal cost curve equal to $600. Determine total industry output, market price, and the division of output between the barometric firm and the follower firms.