Post Utme Crawford University 2020 Economics Question 37

A firm is considering two different production techno\logies: one that uses a lot of labor and another that uses a lot of capital. The firm's production function is given by Q = 10L^0.5K^0.5, where Q is the quantity produced, L is the amount of labor used, and K is the amount of capital used. If the firm has a budget constraint of 100 units of labor and 50 units of capital, and the wage rate is 10 units of output per unit of labor, and the rental rate of capital is 20 units of output per unit of capital, which techno\logy should the firm choose?