Please help me with these questions based on this Cobb-Douglas production function

1 1 3 Consider a Cobb-Douglas production function f: Hi > 11%;, given by f(z) = 23242;, where 2 >> 0 denotes inputs in the production process. (1) Does the production function exhibit non-increasing, non-decreasing, or constant returns to scale? Explain. (2) Derive the supply tnction and the prot function, and verify properties (a) and (d) of Proposition 12.4. (The supply correspondence (lnction) is homogeneous of degree zero, and the prot mction is homogeneous of degree one.)