Problem 10 Kyle's utility function is U(x,y)=(x+2)(y+1), where x is consumption of good x and y is consumption of good y. a) Write and equation of an indifference curve going trough

the point (x,y)=(2,8). y=_ b) Graph the indifference curve with U-36 in the x-y space./nc) Suppose the prices of both goods are 1 (px = Py = 1), and Kyle's income is 11. Can Kyle achieve a utility level of 36 with this budget? d) What is Kyle's marginal rate of substitution at consumption bundle (x,y)? e) Write the equation that we get if we set the absolute value of Kyle's MRS to the price ratio. f) What is the equation for Kyle's budget line? g) Find values of x and y, if we solve equations in (e) and (f) simultaneously.