A firm's marginal cost and marginal revenue functions are given by MC(q) = 159Vq2 + 225 and MR(q) = 39(q+225)3/4, where q is the number of units produced. Given that the fixed cost to the firm is $20,000. (a) Find the optimal output level whịch maximizes the profit of the firm. (b) Find the value of the total cost the firm incurs at the level of the output in (a).