Suppose the quantity, q, of a good produced depends on the number of workers, w, and the amount of capital, k, invested and is represented by the Cobb-Douglas function q = k4 . w4. In addition, labor costs are 9 per worker and capital costs are 7 per unit, and the budget is 2508. Using Lagrange multipliers, find the number of units of capital and workers maximizing production. What is the value of the Lagrange multiplier