The production of a manufacturer is given by the Cobb - Douglas production function
f (x, y) = 25 x²/⁵ y³/⁵
where x represents the number of units of labor (in hours) and y represents the number of units of capital (in dollars) invested. Labor costs $15 per hour and there are 8 hours in a working day, and 250 working days in a year. The manufacturer has allocated $4,500,000 this year for labor and capital. How should the money be allocated to labor and capital to maximize productivity this year? Round answers to 2 decimal places, if necessary.
