For each of the following production functions, please do the following: i) graph the isoquant curve corresponding to Q=100 (Tip: you don't need to use the same scale on all your graphs); ii) for each of labour and capital, use the corresponding marginal product functions to describe whether diminishing marginal returns exist; iii) find the marginal rate of technical substitution of labour for capital; iv) describe if there are increasing, constant, or decreasing returns to scale. (a) Q=3L+K,MPL=2L3,MPK=2K1 (b) Q=10KL,MPL=5LK,MPK=5KL (c) Q=31KL,MPL=61LK,MPK=61KL (d) Q=3L+2K,MPL=3,MPK=2 (e) Q=K2L,MPL=2LK2,MPK=2KL For each of the following production functions, please do the following: i) graph the isoquant curve corresponding to Q=100 (Tip: you don't need to use the same scale on all your graphs); ii) for each of labour and capital, use the corresponding marginal product functions to describe whether diminishing marginal returns exist; iii) find the marginal rate of technical substitution of labour for capital; iv) describe if there are increasing, constant, or decreasing returns to scale. (a) Q=3L+K,MPL=2L3,MPK=2K1 (b) Q=10KL,MPL=5LK,MPK=5KL (c) Q=31KL,MPL=61LK,MPK=61KL (d) Q=3L+2K,MPL=3,MPK=2 (e) Q=K2L,MPL=2LK2,MPK=2KL