Using calculus, show that not all goods can be inferior. (Hint: start with the identity that Y=P₁91 +P292+...+PN9N-) dq₁ da2 dan +...+PN dy = P1 dy +P2 dy Note that dY dy OA. Although OB. Because OC. Although OD. Because OE. Because ㅎㅎ ㅎ ㅎㅎ ㅎ ㅎㅎㅎ dy dY dY dY dy dy = 1, at least one can be negative, which means at least one good, good i, is not inferior. dy dq₁ dq dY = 0, at least one must be positive, which means at least one good, good i, is not inferior. =1, at least one p, can be negative, which means at least one good, good i, is not inferior. da dy = 1, at least one must be positive, which means at least one good, good i, is not inferior. =1, at least one p, must be positive, which means at least one good, good i, is not inferior.
Using calculus, show that not all goods can be inferior. (Hint: start with the identity that Y=P₁91 +P292+...+PN9N-) dq₁ da2 dan +...+PN dy = P1 dy +P2 dy Note that dY dy OA. Although OB. Because OC. Although OD. Because OE. Because ㅎㅎ ㅎ ㅎㅎ ㅎ ㅎㅎㅎ dy dY dY dY dy dy = 1, at least one can be negative, which means at least one good, good i, is not inferior. dy dq₁ dq dY = 0, at least one must be positive, which means at least one good, good i, is not inferior. =1, at least one p, can be negative, which means at least one good, good i, is not inferior. da dy = 1, at least one must be positive, which means at least one good, good i, is not inferior. =1, at least one p, must be positive, which means at least one good, good i, is not inferior.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![Using calculus, show that not all goods can be inferior. (Hint: start with the identity that Y=P₁91 +P292+...+ PN9N-)
dq₁
dq2
dan
+...+PN DY
+ P2 dy
dy
Note that
dY
dy
P₁
OA. Although
OB. Because
O D. Because
dY
O E. Because
dy
dY
55 55 55
= 1, at least one
dY
= 0, at least one must be positive, which means at least one good, good i, is not inferior.
dY
dY
OC. Although = 1, at least one p, can be negative, which means at least one good, good i, is not inferior.
da
=1, at least one
dy
dy
can be negative, which means at least one good, good i, is not inferior.
dY
dq
dy
da
must be positive, which means at least one good, good i, is not inferior.
dy
=1, at least one p, must be positive, which means at least one good, good i, is not inferior.
dy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61be30ae-9599-495f-8aed-02e3c1edecff%2F9b941dc2-b314-4e76-8234-af4b47cb1226%2Fb2zj6kx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using calculus, show that not all goods can be inferior. (Hint: start with the identity that Y=P₁91 +P292+...+ PN9N-)
dq₁
dq2
dan
+...+PN DY
+ P2 dy
dy
Note that
dY
dy
P₁
OA. Although
OB. Because
O D. Because
dY
O E. Because
dy
dY
55 55 55
= 1, at least one
dY
= 0, at least one must be positive, which means at least one good, good i, is not inferior.
dY
dY
OC. Although = 1, at least one p, can be negative, which means at least one good, good i, is not inferior.
da
=1, at least one
dy
dy
can be negative, which means at least one good, good i, is not inferior.
dY
dq
dy
da
must be positive, which means at least one good, good i, is not inferior.
dy
=1, at least one p, must be positive, which means at least one good, good i, is not inferior.
dy
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