The input function of a manufacturer is given by I (x, y) = 6x + (6/5) xy + 3y; the manufacturer has $ 4900.00 to invest and the cost of production of item "x" is $ 27.00 and the cost of production of item "y" is $ 8.00. Determine what quantities of items "x" and "y" need to be produced to maximize income and how much this income is. round to the nearest integer.