The amount of space required by a particular firm is given below, where x and y are, respectively, the number of units of labor and capital utilized. f(x, y) = 1000 sqrt(6x^2 + y^2)suppose that labor costs $480 per unit and capital costs $40 per unit and that the firm has $6000 to spend. determine the amounts of labor and capital that should be utilized in order to minimize the amount of space required. (hint: to minimize f(x, y) it is enough to minimize the function 6x2 + y2.)