What is the island's maximTwo fields can be planted on Robinson Crusoe's island. Each can be used to grow oranges or apples. If Field A is planted entirely with oranges, it will produce 2 bushels (bu.) of oranges. If A is planted entirely with apples, it will yield 4 bu. of that crop. For Field B, the numbers are reversed: B will produce 4 bu. of oranges if entirely planted with oranges, or it will produce 2 bu. of apples if entirely devoted to that crop. IF A FIELD IS SPLIT BETWEEN THE TWO CROPS, the output of each crop from that field will be proportional to the fraction of the field planted in that crop. For example, if half of B is planted with each crop, then it will produce 2 bu. of oum possible output of oranges? __________ b) Graph your answer in a) on the axes found on the next page and label it point H..(Put oranges on the horizontal axis and apples on the vertical axis) c) What is the island's maximum possible output of apples? __________

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.8P
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a) What is the island's maximTwo fields can be planted on Robinson Crusoe's island. Each can be used to grow oranges or apples. If Field A is planted entirely with oranges, it will produce 2 bushels (bu.) of oranges. If A is planted entirely with apples, it will yield 4 bu. of that crop. For Field B, the numbers are reversed: B will produce 4 bu. of oranges if entirely planted with oranges, or it will produce 2 bu. of apples if entirely devoted to that crop. IF A FIELD IS SPLIT BETWEEN THE TWO CROPS, the output of each crop from that field will be proportional to the fraction of the field planted in that crop. For example, if half of B is planted with each crop, then it will produce 2 bu. of oum possible output of oranges? __________

b) Graph your answer in a) on the axes found on the next page and label it point H..(Put oranges on the horizontal axis and apples on the vertical axis)

c) What is the island's maximum possible output of apples? __________

d) Graph your answer in c) on the axes found on the next page and label it point J.

Now, suppose that Crusoe is at point J (producing only apples) and that he now wishes to produce some of both crops.

e)What is the opportunity cost of oranges (measured in terms of apples given up).... on Field A? ______on Field B? ______

f)If Crusoe shifts field A to orange production, production on both fields will equal...

____ bu. of Oranges and _____ bu. of Apples. Graph this point & label it POINT K. I

g)If instead, he shifted Field B to oranges, leaving A in apples, he will produce…

___ bu. of Oranges and _____ bu. of Apples. Graph this point & label it POINT L.

h)Form Crusoe's production possibilities curve by connecting the appropriate points with STRAIGHT LINE segments. LABEL it PPC1.

i)Finally, suppose that a new field, Field C, is discovered on the island. C is capable of producing 1 bu. of oranges if planted all in oranges or 1 bushel of apples if planted all in apples. Draw the new PPF and label it PPF2.

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