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PROBLEM VII. Suppose that a firm has a production function -1/2 1/4 Q34. The marginal product of r, at the input bundle (71, T2) is (a) 4x, 1/2 (b) 42, 3/42.1/2 (c) z,1/221/4 (d) 4x 1/2 21/2 (e) 12 1/421/2 Q35. Does the marginal product of r, show diminishing marginal product? (a) Yes (b) No Q36. The technical rate of substitution is (a) - 21 (b) -$2 (c - 212 (d) -2 _211 (e) -2 Q37. The production function f demonstrates (a) increasing returns to scale. (b) constant returns to scale. 1 (c) decreasing returns to scale. Q38. Alternatively, consider another firm which has a production function f(I1, 12) = min {2x1, 3x2}. Which of the following input bundles belongs to the same isoquant that passes through (3, 3)? (a) (3, 2). (b) (3, 1). (c) (1, 5) (d) (2, 5). (e) (2, 4) . Q39. Consider yet another firm which has a production function f(x1, 12) = 3x1 + 212. Which of the following input bundles belongs to the same isoquant that passes through (4, 1)? (a) (3, 3). (b) (1, 4 ) . (c) (6, 0). (d) (2, 4). (e) (0, 6)