Question #290319

A person has $ 100 to spend on two goods X and Y whose respective prices are $3 and $5.


A. Draw the budget line.


B. What happens to the original budget line if the budget falls by 25%?


C. What happens to the original budget line if the price of X doubles?


D. What happens to the original budget line if the price of Y falls to $4?


1
Expert's answer
2022-01-28T13:10:25-0500

Solution:

A.


px=3,Gx=1003=3313p_x=3, G_x=\frac {100}{3}=33\frac{1}{3}py=5,Gy=1005=20p_y=5, G_y=\frac{100}{5}=20


B.



1000.25×100=75100-0.25\times 100=75px=3,Gx=753=25p_x=3, G_x=\frac {75}{3}=25py=5,Gy=755=15p_y=5, G_y=\frac{75}{5}=15


Its slope will remain same, but starting point, final point and all other points are lower by 25%.

C.



px=6,Gx=1006=1623p_x=6, G_x=\frac {100}{6}=16\frac{2}{3}


Its slope is decreasing at a higher rate than previous. Starting point is same, but ending point will be different.

D.


py=5,Gy=1004=25p_y=5, G_y=\frac{100}{4}=25


Its slope is decreasing at a higher rate than previous. Starting point is different, but ending point will be same.


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