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A) Suppose that we have two goods, milk x and honey y with prices px and py, respectively. Lynn is a consumer with income I who inexplicably views these as perfect substitutes, with linear utility function: U(x, y)=3x+2y Lynn's demand functions for milk x(px,py,I) and honey y(px,py,I) have three parts, depending on the value of MRS. When MRS=px/py=3/2, we have a corner solution (Lynn is indifferent between all of her bundles). This means her demand function for milk would be [0,1/px]. 1. What would Lynn's demand function for honey be if MRS=px/py=3/2? Use format as : [0,1/p_x] 2. What is Lynn's indirect utility function V(px,py,I) if MRS=px/py=3/2? Again, to receive credit, write the final form with prices for each variable as p_x and p_y. Follow a format similar to question 1, [#/#,#/#]. 3. Find the shadow price of income A(px,py, !). Again, to receive credit, write the final form with prices for each variable as p_x and p_y. Hint: this particular shadow price will be a maximum of two options. Write your answer as: max{#,#} to receive credit (include the word "max" and the brackets). 4. What is her Hicksian demand function for honey if MRS=px/py3/2? Again, to receive credit, write the final form with prices for each variable as p_x and p_y. No need to add the bar over the U in your answer (capital U will suffice). 6. What is her Hicksian demand function for honey if MRS=px/py=3/2? Again, to receive credit, write the final form with prices for each variable as p_x and p_y. No need to add the bar over the U in your answer (capital U will suffice). Follow the format of question 1. 7. Find Lynn's expenditure function E(px,py,U) if MRS=px/py3/2. 9. Find Lynn's expenditure function E(px,py,U) if MRS=px/py=3/2. 10. Are the expenditure and indirect utility functions consistent with each other