X Bb: 26840 x Bh: 14925 x 9 New Ir x S goStor x M Inbox X + X w&content_id=_80179902_1&course_id=_2288552_1 Incognito (b) Graph the three equations with in the space of (I, y). (c) Relate your graph to the problem of solving this system. 2. For this problem use the simple macroeconomic model from 3.5-1 (page 47). (a) Rearrange this system with endogenous variables on the left (Y, C, T) and constants on the right. (b) Represent this system in the standard Ar = d matrix form. (c) Use A to illustrate this system has a solution. (d) Use matrix inversion to find the solution. 3. Using the following simple input-output relationships 21 = .21 + .312 + 30 (1) 12 = .211 + .312 + 48 (2 ) (a) Represent this system using matrices in the form r = Ar + d, where r is the vector of outputs, A is the coefficient/technology matrix and d is the final demand. (b) Rearrange this system into the form (I - A)r = d and use matrix inversion to solve for the two unknowns. 4. We have a simple three good economy characterized by the following relationships between inputs and outputs. 450r1 = 240.r1 + 12r2 + 1813 (3) 2172 = 9021 + 652 + 12r3 ( 4 ) 60.ra = 120r1 + 3r2 + 3013 (5) In words. line (4) is saying that the production of 450 units of ry requires 240 units of itself. 12 units of 12 and 18 units of ra.! (a) Assuming that the cost of output is equal to the total cost of all three inputs, rewrite this system of equations in terms of pi. pa. and pa, (There isn't much to do here other than replacement). If you recognize this system of equations I assume you are studious enough to work the solution out yourself. CB 3 0 Oct 16 6:22 9 9 DELLin Jay X J Blackboa > x 1 p56 - 20 x Bb 1492512 x * Das Kapi x S goStock x Mathem x Google [ x (11) Exog x * Dashboa x C mail.google.com/mail/u/0/?pli=1#inbox/FMfcgzGtwzhSqZvgZzDWZqWIFpz/FVCL? projector= 1&messagePartld=0.1 EXERCISE 3.5 1. Given the following model: Y = C+ 10 + Go C = a+b(Y - T) (a> 0, 0 0, 0