The quantity, q, of a product manufactured depends on the number of workers, W, and the amount of capital invested, K, and is given by the Cobb-Douglas function q=6WKi. In addition, labor costs are $16 per worker and capital costs are $32 per unit and the budget is $4800. (a) What are the optimum number of workers and the optimum number of units of capital? Enter the exact answers. (b) Recompute the optimum values of Wand Kwhen the budget is increased by $1. Give the value of ,1. Round your answers for Wand K to three decimal places and your answer for ,1 to two decimal places