Hey all, first post, hopefully someone can help me with this.

"Suppose the production of airframes is characterized by a CES production function: Q=(K^0.5 + L^0.5)^2 (MPL = (K^1/2 + L^1/2) /L^1/2), MPK = (K^1/2 + L^1/2) /K^1/2)

Suppose that the price of labor is $10 per unit and the price of capital is $1 per unit. Find the cost minimizing combination of labor and input for an airframe manufacturer that wants to produce 121,000 airframes."

Thanks in advance guys.