Suppose that labor costs $480 per unit and capital costs $40 per unit and that the firm has $5000 to spend. determine the amounts of labor and capital that should be utilized in order to minimize the

Suppose that labor costs $480 per unit and capital costs $40 per unit and that the firm has $5000 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 6x2 + y2. (give exact answers.)