Assume the Cobb-Douglas production function is and if price of labor per day is 5 birr and price of capital per day is 10 birr; and if total outlay (cost budget) per day is 400 birr, A.Find L and K that maximize out put B.What is the maximum out put the equilibrium L* and K*

Assume the Cobb-Douglas production function is and if price of labor per day is 5 birr and price of capital per day is 10 birr; and if total outlay (cost budget) per day is 400 birr,
A.Find L and K that maximize out put
B.What is the maximum out put the equilibrium L* and K*