Consider the Cobb-Douglas model for a certain manufacturing plant,

W=50H^0.6I^0.4

where W is the number of washing machines produced per year, I is the annual investment in capital (in thousands of dollars), and H is the total number of work hours. The annual budget, that pays capital and employees, must be 1 million dollars. Also, employees are paid 14 dollars per hour. Find the number of work hours and annual capital investment that will maximize production.

Work hours (which I already found): 42857.142 hours.

Capital Investment: ______________dollars (in thousands)

How many washing machines are produced when production is maximized:____________machines.