Please provide a step-by-step solution to the problem so that I can teach myself how to solve the problem.

#2 MT PROBLEM 2 (Nov. 2020) dj max leisure : mc min work. As you may know, rappers have the following production function for producing hits where I, is time and ry is talent: f(I1. 12) = 40 (+) Talent is measured in terms of Kanyes. For Kanye ra = 1. For a rapper half as talented as Kanye, r = $. Time is measured in lifetimes spent in the studio. Thus, r, $ 1. A. What is the elasticity of substitution between time and talent? Interpret this in a way that a non-economist would understand. Talent is not fixed. Rappers have some initial talent and can increase talent by spending time with Kanye. Talent increases by one-quarter of the proportion of a lifetime spent with Kanye. For instance, if a rapper with initial talent 0 spends half of his/her lifetime with Kanye, his/her talent would be . Since he/she only has one lifetime, if the rest of that lifetime was spent in the studio, this rapper would have I1 = , and ry = g. Any time not spent in the studio or with Kanye is spent as leisure time. B. Suppose a rapper with initial talent , wants to produce 10 hits and otherwise wants to maximize leisure time. If he/she spends no time with Kanye, how much time does he/she need to spend in the studio? If he/she spends - of a lifetime with Kanye, how much time does he/she need to spend in the studio? Which option affords more leisure time? C. What is the optimal amount of time for a rapper with initial talent , to Spend with Kanye to produce 10 hits and maximize leisure time? D. A rapper produced 10 hits and was maximizing her leisure time, we don't know how much time she spent in the studio, but we know she did not spend any time with Kanye. What is the least amount of talent she must have