please help me on this questions

6. Suppose a firm's production function takes the following form: f(K, L) = AK"LP, where K refers to capital and L to labour, A is a constant, and O S a, B$ 1. (a) What are the marginal products of K and L? (b) What effect do changes in L have on the marginal product of K? (c) Is the production function homogeneous of degree 1? (d) Denote the input price of K by r and input price of L by w, and output price by p. Further, let A=100. =1/2 and B=1. Then, by solving the profit function for an optimum, find the derived demands for K and L. (e) If. for some reason, the availability of K was limited to below its economically optimal level. what happens to the value of the marginal product of K? Why