Assume that an company's production function is Q = 30K 1/2 L1/3 where K represents capital input and L represents labor input. The company's cost function is C=rxK+ w L. (a) How much K and L should this company acquire (or hire) if it must produce Qo units at minimum cost? This is to say that you need to find optimal K* and L* to minimise the cost function subject to the constraint of Q = Qo. (a) Let C* denote the minimum cost derived in Question 5(1). Find the expressions of C*/r, * /w and C* /Q. You can work out these partial derivatives by substituting K* and L* into C* = r K* + w L* and then differentiating directly.