Assume that specic functional forms are assumed for the consumption function and the investment demand function: Ct : 510': Gt) + 52 (n+1 Gt+1) 537': It : d1Tt + dZAt'l'l + dBKt Where c1, 2, 3, d1, 0'2 and (are fixed parameters governing the sensitivity of consumption and investment to different relevant decision factors. a) Find an algebraic expression of the IS (Investment-Savings) curve. b} Use the above expression to find the slope of the IS curve. c) Assume that the parameter values are: c: : 0.6, C2 : 0.5, c3- : 10, d: : 20, d2 : I and d3 : 0.5: Assume that EH : 15, G} : 10, 0&1 : 10, AH: : Sand If} : 15. Assume that n: : 0.1. Find the product in the current period. d} Now suppose I}: : 0.15. Find the product If; in the current period. (e) Create a range of values of 1",; between 0. 01 to 0.2, with 0. 001 intervals between values. Find for each n using an Excel sheet and draw the IS curve. Does it have the expected slope? Comment f) Find another version of the Q curve with A ha; : 7, and graph both curves, for A t+1 : 5and for AA: : 7: How does the increase in A t+1 impact the position of the IS curve? Explain g} For the IS curve founded at a}, assume that the parameter values are 5120.5, (32:04, 3:], (1220, (2205 and d320,}. Assume further that Y\"; : 1,2, 0:20.21 Gt+1:0.2', Ag+1=1 and K3215. Find the IS curve