5. The board of a firm want to get value for money by employing the right number of workers. Thus it hired an economist to estimate the firms production function. Based on the economists report, the board now knows that the firms production function is given by:

Q=K^I/2L^I/2

and that capital is fixed at 1 unit.

Suppose the firm can hire labor at a wage of GHS10 per hour and output can be sold at a price of GHS100 per unit. Determine the profit-maximizing levels of labor and output.

fined