on to the main solution, we have been given а Coming perfect substitute utility function. Remember, if any utility function Ujs in the form: U = ax + by, then it means that goods X and Y are perfect dubstitutes each other. The utility curive in this case is represented by a down ward sloping straight line. At every point on the curve, the MRS remains constant, unlike a regular convex - Utility curve, in which MARS reduces from left to right of Note: when a consumer. faces perfect dubstitute utility function, then he/she Consumes at the corner point. It depends upon the ratio between o Marginal Utilities of particular good respective police. мох For eg. if, Px if, MUY > Pr U(X,Y)= 4x+ 3 Y MUX = JU(x, y) _ 4 ১U(X, = dx мож Py мох Px Corner Points ) 1 U=ax+by and its ^ Corner points then only x good is consumed MOY = ১০(XY) = 3 Y then only Y-good is consumed.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 3SQP
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Coming
on to the main solution, we have been given a
perfect substitute utility function. Remember, if any
utility function
Ujs in the form: U = ax + by, then
it means that goods X and Y are
perfect dubstitutes
of each other. The utility cusive in this case is
represented by a down word sloping straight line. At
every point on the curve, the MRS remains constant,
unlike a
Convex
Utility curve, in which
regular
MRS reduces from left to eight
Note: When a consumer.
faces perfect dubstitute
utility function, then he/she
Consumes at the corner point.
It depends upon the ratio between
Marginal Utilities of particular good and its
respective police.
мох
Px
For eg. if.
if,
мор
Pr
>
U(X,Y)= 4x+ 3 Y
MUX = du(x, y) 4
১U(X,
=
ах
+XR³ x 4 = 1/2/3/1 = 1.
4
мож
Py
мох
Px
-
=1.33
Corner
Points
)
1
U=ax+by
^
cosner
then only x good is consumed
Ju(x,x) = 3
۵۷
points
then only Y-good is consumed.
MUY = JU(X,Y)
Transcribed Image Text:Coming on to the main solution, we have been given a perfect substitute utility function. Remember, if any utility function Ujs in the form: U = ax + by, then it means that goods X and Y are perfect dubstitutes of each other. The utility cusive in this case is represented by a down word sloping straight line. At every point on the curve, the MRS remains constant, unlike a Convex Utility curve, in which regular MRS reduces from left to eight Note: When a consumer. faces perfect dubstitute utility function, then he/she Consumes at the corner point. It depends upon the ratio between Marginal Utilities of particular good and its respective police. мох Px For eg. if. if, мор Pr > U(X,Y)= 4x+ 3 Y MUX = du(x, y) 4 ১U(X, = ах +XR³ x 4 = 1/2/3/1 = 1. 4 мож Py мох Px - =1.33 Corner Points ) 1 U=ax+by ^ cosner then only x good is consumed Ju(x,x) = 3 ۵۷ points then only Y-good is consumed. MUY = JU(X,Y)
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