$4($a$)$ Find the equation for budget line $($BL$1)$ when the price of food is $$9.$

$4($b$)$ Find the initial consumption bundle A when the price of food is $$9.$

$4($c$)$ Find Jennifer$$s utility $($U$1)$ at consumption bundle A$.$

$4($d$)$ Find the equation for budget line $($BL$2)$ when the price of food is $$4.$

$4($e$)$ Find the consumption bundle C when the price of food is $$4.$ Find Jennifer$$s utility $($U$2)$ at consumption bundle C$.$

$4($f$)$ Find the equation for budget line $($BLd$)$ when the price of food is $$4$ and income is $($Id$).$

$4($g$)$ Find the consumption bundle B using budget line $($BLd$)$ and U$1=$ FC

$7($h$)$ Find the income and substitution effects and show that

Price Effect $($PE$)=$ Income Effect $($IE$)+$ Substitution Effect $($SE$)[35$ Points$]$ Jennifer buys two goods, food $($F$)$ and clothing $($C$),$ with the utility function $U(F,C)=FC.$ Assume initially

that she has an income of $$72,$ the price of clothing is $P_C=$$$1$ per unit, and the price of food is initially $P_{F1}=$$$9$ per

unit and that the price subsequently falls to $P_{F2}=$$$4$ per unit. Use this information and the accompanying graph to

answer the following questions.