1. Rachel has visited several stores comparing sneakers. For Rachel, sneakers would be a(n) product.

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?

Suppose that a paving company produces paved parking spaces (q) using a fixed quantity of land (t) and variable quantities of cement (c) and labor (l). the firm is currently paving 1,000 parking spaces. the firm's cost of cement is $3 comma 600.003,600.00 per acre covered (c) and its cost of labor is $35.0035.00/hour (w). for the quantities of c and l that the firm has chosen, mp subscript upper c baseline equals 60mpc=60 and mp subscript upper l baseline equals 7mpl=7. is this firm minimizing its cost of producing parking spaces?

For 2016, gourmet kitchen products reported $22 million of sales and $19 million of operating costs (including depreciation). the company has $15 million of total invested capital. its after-tax cost of capital is 10%, and its federal-plus-state income tax rate was 36%. what was the firm’s economic value added (eva), that is, how much value did management add to stockholders’ wealth during 2016?