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. 15 POINTS Answer the following questions: 3) Consider the utility function u(c, l) = ln(c) + 1411(1), where c is consumption, 1 is leisure, and y > 0 is a constant i. Show that this function exhibits strictly posiu've but diminishing marginal utility in both c and 1. ii. Derive an expression for the marginal rate of substitution between c and l b) Show that the Cobb-Douglas production function F(z, K, N) = zKaNl'", exhibits i. constant returns to scale and ii. diminishing returns to capital (K) and labor (N)