a. Find the profit-maximizing quantity of L.
b. Find the profit-maximizing quantity of q.
c. What is the maximum profit?
d. Suppose now that the firm is taxed $30 per unit of output and that the wage rate is subsidized at a rate of $15 per hour. Assume that the firm is a price taker, so the price of the product remains at $150. Find the new profit-maximizing levels of L, q, and profit.
e. Now suppose that the firm is required to pay a 20% tax on its profits. Find the new profit-maximizing levels of L, q, and profit.

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