2. (3 points) Consider the production function f (m1, 9:2) = 93'me where a > 0 and ,8 > O. (a) Find the marginal product of input 1 and input 2. (1 point) (b) For which values of the parameters a and [3 does this production function exhibit decreasing marginal product of input 1? Of input 2? (1 point) (c) For which values of the parameters a and ,8 does this production function exhibit increasing returns to scale (IRS), constant returns to scale (CBS), and decreasing returns to scale (DES)? (1 point)