Davy Metal Company produces brass fittings. Davy’s engineers estimate the production function represented below as relevant for their long-run capital-labor decisions. = 500 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 $500,000 per year, measured in real dollars. a. Write an expression for the marginal product of labor. b. Write an expression for the marginal product of capital. c. Determine the firm’s optimal capital-labor ratio, given the information in the question, and your answers to parts (a) and (b). d. How much capital and labor should the firm employ, given the $500,000 budget? Calculate the firm’s output at those levels of labor and capital. Davy is currently negotiating with a newly organized union. The firm’s personnel manager indicates that the wage may rise to $22.50 under the proposed union contract. Analyze the effect of the higher union wage on the optimal capital-labor ratio and the firm’s employment of capital and labor. What will happen to the firm’s output?

With q7 assume the sweet company uses a plantwide predetermined overhead rate with machine-hours as the allocation base. and for q 10,11,13,and 14,assume that the company use department predetermined overhead rates with machine-hours as the allocation bade in both departements.7. assume that sweeten company used cost-plus pricing (and a markup percentage of 80% of total manufacturing cost) to establish selling prices for all of its jobs. what selling price would the company have established for jobs p and q? what are the selling prices for both jobs when stated on a per unit basis assuming 20 units were produced for job p and 30 units were produced for job q? (do not round intermediate calculations. round your final answers to nearest whole dollar.)total price for the job for job p -job q selling price per unit for job p q . how much manufacturing overhead was applied from the molding department to job p and how much was applied to job q? (do not round intermediate calculations.) job p job q manufacturing overhead applied for job p for job q . how much manufacturing overhead was applied from the fabrication department to job p and how much was applied to job q? (do not round intermediate calculations.)job p job q manufacturing overhead applied for job p for job q . if job q included 30 units, what was its unit product cost? (do not round intermediate calculations. round your final answer to nearest whole dollar.)14. assume that sweeten company used cost-plus pricing (and a markup percentage of 80% of total manufacturing cost) to establish selling prices for all of its jobs. what selling price would the company have established for jobs p and q? what are the selling prices for both jobs when stated on a per unit basis assuming 20 units were produced for job p and 30 units were produced for job q? (do not round intermediate calculations. round your final answer to nearest whole dollar.)total price for the job p for job q selling price per unit for job p for job q