Computer science question don't use any AI I need solution very fast pls

$1.$ Consider a consumerof gooa$)$ Derive the ordinary demand functions, x$\backslash$deg $($p$,$P$,)$ and y$($P$,$P$,)$b$)$ Derive the consumer's indirect utility function, u$($P P$,)$c$)$ Calculate the partial derivatives, u $/$P$.$u$/$N$,$ and the ratio Verifythat this term in the ordinary demand function from part a $($Roy$\text{'}$s identity$).$d$)$ Minimize the expenditure level necessary to achieve some arbitrary tility target uand solve the first$-$order conditions for the compensated $($or Hicksian$)$ demandfunctions, x$($P$,.$P$,.$W$)$ and y$\text{'}($P$,.$P$..$u$\text{'}).$e$)$ Calculate the value of lp$,$ and &x $/$p$,$ and show that x and y are net substitutesExplain with the use ofa diagram how x andy can be net substitutes but not grosssubstitutesonsumer whose utility function and budget constraint are given byPayTepectively, where pP is the price of good x$,$p$.$ is the price$)$ Derive the expenditure function, e P P$,$ u$)$g$)$ Calculate the partial derivative, lelp,.P$,.$u$\text{'})/$p$,$ and verify that the resulting termis the compensated demand for good x $($Shepherds lemma$)$h$)$ Invert the expenditure function to solve for $\text{'}($p$..$P$,.$ I$),$ Verify that this is indirectutility u$($P P$,$ h$.)$ Suppose Py$-$Sl and the individual's income is $$330,$ If the price of good x falls from$$5$ to S$4,$ evaluate the individual's gain in terms of compensating variation.j$)5$A$,$k$)$ Draw a graph that shows compensating variation, equivalent variation, and the changein consumer surplus What range of values can the change in consumer surplus take?$2.$ An individual derives utility from consumption goods, X$,$ and leisure time, N$,$ to maximize thedaily utility level, u $=$ XN$.$ Outside income per day is Sm and the price of consumptionbour but working ofcourse takesay ftrom leisure vime $($which imnlies it eauses dislitv$)$The individual's utility maximization problem is constrained by two things: $()$ the budgetOuestiona$)$ Write a single equation for the budget constraint in terms of N$,$ X$,$ and m and interpret.b$)$ Derive the demands for goods and leisure $($X and N$\text{'})014,$ evaluate the individual's eain in termu of$)$ What is the effect of an increase in outside income $($m$)$ on labor supply? Show theeffect of a decrease inm $($say due to graduation$)$ on the individual's labor supply.Oucstion$02$The following polynomial can be uscd to relate the zero$-$presure spocific hcat of dry air.Cpk$($kg K$),$ to temperaturs, $($KDucstion #$03$DucstionG$=0\mathrm{.}99403+167$x $10$T$+9\mathrm{.}7215$ x $10-9.5$R$3$H x $1$o $+19520$x $10$Apply Sccant method to determine the temperature that corrosponds to the spocific hcat ofLICp$)$ kJ$($kg K$)$ asing the temperature range of T$=0$ to $1200$ K up to the tolerance ofIxi$0$using $5$ decimal placos.ASSIGNMENTE $02$ComponeatAAlatine urront is describod by I $=9$e Sin$2$ntL$,$ where t is in soconcs. AppNewton$-$ Ranhson method to deteming the value of t such that $/=$surting with thsirting witinitial valuc of time, t$,$ as I sec$.$ Solve till five iterations asing S decimal places$04$r falls fromA Plant Manaser supcrvises the production of throg tvpes of compongnitx Throe kind ofmatcrial $-$metal, plastic, and rubbr$-$are roquircd for prouction The amounts noodod toproduce cach componcnt areMetalcotupoent$)151924-$N$.$ Graph the labor supplyPlastic $($emcompoent$)0250\mathrm{.}41121$If tals of $2\mathrm{.}12,00434,$ and $0\mathrm{.}164$ kg of metal, plastic, and rubber, rospctively, areavailablccach day, Apply Ciauss$-$Scidel method to evaluate how many componcnts can beprouced per day? Sohe for $7$ Ierations$44-4$t$41244-248,-104$Rubbercomponent$)10482-28-96$L$61$The following systcm of cquations are indicating market oquilibrium condition for threecompeting mobile phone modcls of different manufacturersApply Gauss$-$Jordan Method, whether there are prices $($p$,$ p and p$)$ that satisfics thecquilibrium condition for cach of the threc mobile phonc models.constraint, pXm wL$,$ and $($i$)$ the "time constraint", L$+$N$-24.$ The budget constraintcan be written in terms of N$,$ X$,$ and m by suhbstituting for L$-24-$N$.$el