Marvin has a$$ Cobb$-$Douglas utility$$ function,

Upper U equals q $1$ Superscript $0\mathrm{.}5$ Baseline q $2$ Superscript $0\mathrm{.}5$U$=$q$10\mathrm{.}5$q$20\mathrm{.}5,$

his income is

Yequals$=$$$900900,$

and initially he faces prices of

p $1$p$1$equals$=$$$11$

and

p $2$p$2$equals$=$$$11.$

If

p $1$p$1$

increases from

$$$$11$

to

$$$$44,$

what are his compensating variation$($CV$),$ change in consumer surplus

$($Upper Delta$$CS$),$

and equivalent variation$($EV$)?$

Part $2$

$$Marvin$\text{'}$s compensating variation$($CV$)$ is

$$$enter your response here.

$($Enter your response rounded to two decimal places and include a minus sign if$$ necessary.$)$

Part $3$

$$Marvin$\text{'}$s change in consumer surplus

$($Upper Delta$$CS$)$

is

$$$enter your response here.

$($Enter your response rounded to two decimal places and include a minus sign if$$ necessary.$)$

Part $4$

$$Marvin$\text{'}$s equivalent variation$($EV$)$ is

$$$enter your response here.

$($Enter your response rounded to two decimal places and include a minus sign if$$ necessary.$)$