Question $10$

Consider the task$-$based model from our lecture with

log

$$

$=$

$$

$0$

$1$

log

$$

$$

$$

$$

logY$=$

$0$

$1$

$$

logy

i

$$

di and

$$

$=$

$1$

$/$

$2$

I$=1/2$ and assume that

$$

$=$

$1$

L$=1$ and

$$

$$

$$

$=$

$$

$$

$$

$=$

$1$

$$

$$

a

Ki

$$

$=$a

Li

$$

$=1$i$.$ Assume that the aggregate capital stock

$$

K is pinned down by the optimality condition

$$

$$

$=$

$$

$+$

$$

$=$

$.$

$1$

F

K

$$

$=$r$+\backslash$delta $=\mathrm{.}1.$

What is the equilibrium level of wages? $($Round to two digits after the comma, e$.$g$.$ enter $1\mathrm{.}23$ if your answer is $1\mathrm{.}234567)$