Calculate the profit-maximizing level of output for a perfectly competitive firm in each of the following circumstances:

A. The firm's cost function is given by c(Q) = (1/4)Q² and the price = $10 with probability 1/2, and equals $30 otherwise.

B. The firm's cost function is given by c(Q) = (1/2)Q² and the price equals $6, $9, or $15, each with equal probability.