9. Consider the following IS/LM model of a closed economy. Note that aggregate income (y) and the interest rate (r) are endogenous, while government purchases (go), taxes (to), the money supply (mo), and the price level (po) are exogenously given and positive. y = c(y - to) +i(r) + go: 0 0, "p > 0 a. Find the total differentials of both equations. b. Set dto, dgo, and dm, equal to zero, and rewrite the system of total differentials as a matrix equation (Ax = b) whose vector of unknowns (.e. - x) is the vector of partial derivatives: [@y/opo Or/@pol c. Use Cramer's rule to calculate @y/po and determine its sign. 9. Consider the following IS/LM model of a closed economy. Note that aggregate income (y) and the interest rate (r) are endogenous, while government purchases (go), taxes (to), the money supply (mo), and the price level (po) are exogenously given and positive. y = c(y - to) +i(r) + go: 0 0, "p > 0 a. Find the total differentials of both equations. b. Set dto, dgo, and dm, equal to zero, and rewrite the system of total differentials as a matrix equation (Ax = b) whose vector of unknowns (.e. - x) is the vector of partial derivatives: [@y/opo Or/@pol c. Use Cramer's rule to calculate @y/po and determine its sign