the production of a manufacturer is given by the cobb-douglas production function where represents the number of units of labor (in hours) and represents the number of units of capital (in dollars) invested. labor costs per hour and there are hours in a working day, and working days in a year. the manufacturer has allocated 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.