1. The total cost of producing a quantity q is C(q). The average cost a(q) is given in figure below. The following rule is used by economists to determine the marginal cost C'(q0), for any qo: Construct the tangent line ti to a(q) at qo. Let t, be the line with the same vertical intercept as t, but with twice the slope of t, . Then C'(q0), is the vertical distance shown in figure below. Explain why this rule works. $/unit a(q) t2 t1 C'(qo)

Microeconomics A Contemporary Intro
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ISBN:9781285635101
Author:MCEACHERN
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Chapter7: Production And Cost In The Firm
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1. The total cost of producing a quantity q is C(q). The average cost a(q) is given in figure
below. The following rule is used by economists to determine the marginal cost C'(q0), for
any qo:
Construct the tangent line ti to a(q) at qo.
Let t, be the line with the same vertical intercept as t, but with twice the slope of t, .
Then C'(q0), is the vertical distance shown in figure below. Explain why this rule works.
$/unit
a(q)
t2
t1
C'(qo)
Transcribed Image Text:1. The total cost of producing a quantity q is C(q). The average cost a(q) is given in figure below. The following rule is used by economists to determine the marginal cost C'(q0), for any qo: Construct the tangent line ti to a(q) at qo. Let t, be the line with the same vertical intercept as t, but with twice the slope of t, . Then C'(q0), is the vertical distance shown in figure below. Explain why this rule works. $/unit a(q) t2 t1 C'(qo)
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