PRODUCER THEORY Consider a perfectly competitive firm in a situation where it can choose its technology (i.e., production function). For each of the four pairs below, which technology should the firm's profit-maximizing owner choose? Use your microeconomic knowledge and intuition in offering your verbal advice to the firm owner. [please use graphs/math only if it enhances your verbal analysis.] Note: The production functions are defined over different combinations of capital (K), labor (L), and raw material (N) with Y denoting output. As usual, the corresponding price vector for the output and inputs is (p, v, w, r). a. = 5 vs. = 5 + 2 . Which one should the firm choose? b. = min (8 , 4 ) vs. = min (4 , 2 ). Which one should the firm choose? c. = 0.2 0.5 vs. = 0.5 0.2 when = 2 and = 3 . Which one should the firm choose? d. = 0.3 0.6 vs. = 0.3 0.6 0.2. Which one should the firm choose? please help me choose the right answer for each of these