Suppose q=L^1/3K^1/6A^1/18. You get to choose the L,K, and A and the cost of these inputs are w, r, and m, respectively.

a- what type of returns to scale does this production function have?

b- write down the lagrange for the cost minimization problem and find the first order conditions.

c- Write down the profit equation in terms of L,K, and A for this firm and find the first order conditions.

d-describe what you would do to find the profit function for this firm