X . A custom dishware company produces x bowls and y plates per day. Their cost function is given by C (x,y) = 6x2 + 4y2 - 5xy + 200. Assume 8 bowls and 7 dishes have been produced. Use partial derivatives to help answer the following questions. (a) What is the approximate effect on costs if one more bowl is produced, while the number of dishes remains fixed? (b) What is the approximate effect on costs if one more dish is produced, while the number of bowls remains fixed? 13. Suppose the production function of a company is given by P(x, y) = x2 + y + xy + 600, where x represents units of labor and y represents units of capital. Find the following when 6 units of labor and 8 units of capital are used. (a) The marginal productivity of labor. (b) The marginal productivity of capital