An economy produces two goods ,X and Y .lt uses two means of production, labour and capital. A unit of labour can produce either 1unit of X or 4units of Y (or linear combination of the two).A unit of capital can produce either 4units of X or 1unit of Y (or linear combination of the two)there are 100units of each means of production. (i) Draw the production possibility frontier of the economy when the two goods can only be produced by a mixture of both factors. (ii)What will be the opportunity cost of X if the economy produces 50units of X ? (iii) Given that the production technology is linear ,will the opportunity cost of X remain unchanged when we produce 90units of X ? (iv)Briefly explain the difference between the PPC with a constant opportunity cost and the PPC with an increasing opportunity cost as more output of one good is produced. Use a well labeled diagram to explain your answer?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.3P
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An economy produces two goods ,X and Y .lt uses two means of production, labour and capital. A unit of labour can produce either 1unit of X or 4units of Y (or linear combination of the two).A unit of capital can produce either 4units of X or 1unit of Y (or linear combination of the two)there are 100units of each means of production. (i) Draw the production possibility frontier of the economy when the two goods can only be produced by a mixture of both factors. (ii)What will be the opportunity cost of X if the economy produces 50units of X ? (iii) Given that the production technology is linear ,will the opportunity cost of X remain unchanged when we produce 90units of X ? (iv)Briefly explain the difference between the PPC with a constant opportunity cost and the PPC with an increasing opportunity cost as more output of one good is produced. Use a well labeled diagram to explain your answer?

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