Davy Metal Company produces brass fittings. Davy's engineers estimate the production function represented below as relevant for their long-run capital-labor decisions. Q = 500L^0.6K^0.8 where Q = annual output measured in pounds, L = labor measured in person hours, K = capital measured in machine hours. Davy's employees are relatively highly skilled and earn $15 per hour. The firm estimates a rental charge of $50 per hour on capital. Davy forecasts annual costs of $350,000. a. How many labor hours and machine hours should the firm employ, given the $350,000 budget?