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) = 1000v - 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 expression 6x^2 + y^2. (Give exact answers:) units of labor units of capital.