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Question 1 A middle school student's education production can be described as a function f() of the student's effort e and resources r. Here we are describing resources as anything outside of the student's own efforts towards higher grades. Assume f(e, r) is strictly increasing in e and r. We can model the net benefits from education, y, for a household with children as y = a * f(e, r) - C(e, r), (1) where C(e, r) is the total cost of effort and resources, and a is a technology parameter which is assumed to be constant. Qla. If the household's objective is to maximize the net benefits from education, what are the choice variables in equation 1? Q1b. Express the first order conditions for the household's optimization, problem in general notation. Q1c. Let f(e, r) = 0.4 0.6. C(e, r) = 2e + 3r; and a = 1. Express the first order conditions for this specific functional form. Q1d. From your first order conditions in lc, what is the marginal cost of effort? What about the marginal cost of resources