Suppose that The Acme Widget Co. uses capital (K) and labor (E) to produce widgets, and that the production function for widgets is given by Q=K1/3E1/2. Suppose that r=$1 and w=$4, where r is the price of capital and w is the wage rate. Finally, suppose also that the price of widgets, p, is $8.

Derive the marginal product of labour (MPE ) and the marginal product of capital (MPK). Clearly show your work.