1. (4 points) Consider the following specific-factors model. There are two sectors. In one sector, wild...
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1. (4 points) Consider the following specific-factors model. There are two sectors. In one sector, wild berries are collected by hand with the production function Yb = Lb. (1) In the other sector, a manufactured good is produced from labor and capital. The tech- nology is Ym = K = L / 1. The usual resource constraint is (3) L = Lb+Lm. We assume perfect competition in both sectors. (a) (1 point) Find the expression of production possibility frontier (PPF). Hint: the expression should include yb, ym, K, and K. (b) (1 point) Is the PPF concave to the origin? Hint: one possibility is finding the first and second derivatives of y, with respect to ym. (c) (2 points) Suppose when trade is allowed, Pm/pt increases relative to autarky, i.e. the manufactured good becomes more expensive relative to berries. For the following vari- ables, show whether they increase, decrease, or remain unchanged: L, Lm, w/pb, w/pm, r/pb, and r/pm. 1. (4 points) Consider the following specific-factors model. There are two sectors. In one sector, wild berries are collected by hand with the production function Yb = Lb. (1) In the other sector, a manufactured good is produced from labor and capital. The tech- nology is Ym = K = L / 1. The usual resource constraint is (3) L = Lb+Lm. We assume perfect competition in both sectors. (a) (1 point) Find the expression of production possibility frontier (PPF). Hint: the expression should include yb, ym, K, and K. (b) (1 point) Is the PPF concave to the origin? Hint: one possibility is finding the first and second derivatives of y, with respect to ym. (c) (2 points) Suppose when trade is allowed, Pm/pt increases relative to autarky, i.e. the manufactured good becomes more expensive relative to berries. For the following vari- ables, show whether they increase, decrease, or remain unchanged: L, Lm, w/pb, w/pm, r/pb, and r/pm.
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a The production possibility frontier PPF can be obtained by solving for the maximum output of each sector subject to the resource constraint Maximize ... View the full answer
Related Book For
Introduction to Statistical Quality Control
ISBN: 978-1118146811
7th edition
Authors: Douglas C Montgomery
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