A firm has using two inputs to produce a single output, Q . The Firm’s production function is Q = x_{1}^{1/2}x_{2}^{1/2}If input price of x_{1}and x_{2}are MYR2 and MYR8 per unit, respectively, get the necessary conditions and use it to determine :

(a) Quantity of x_{1}and x_{2}that minimizes the cost

(b) Minimum cost if the firm produces output of 20 units