Question

Clara's utility function u(x,y)=(x+2)(y+1). write n equation for clara's indifference curve that goes through the point (x,y)=(2,8)

Answer 1

we are given equation as

$u(x,y)=(x+2)(y+1)$

clara's indifference curve that goes through the point (x,y)=(2,8)

we can plug x=2 , y=8

$u(x,y)=(2+2)(8+1)$

$u(2,8)=36$

now, we can set it equal

we get

$36=(x+2)(y+1)$

now, we can solve for y

$\frac{\left(x+2\right)\left(y+1\right)}{x+2}=\frac{36}{x+2}$

$y+1=\frac{36}{x+2}$

$y=\frac{36}{x+2}-1$..........Answer