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Math 205A Quiz 09 page 1 March 28, 2008 NAME. Jv4qeted sds 1. Suppose an economy has three producing sectors: agriculture, meats, and processed foods. The open sector consists of people who just consume (“eat”) all these foods. The four sectors are thus A, M, P and E, respectively. Suppose to produce one unit of output, A requires 0.22 units of its own output, and 0.13 units of M and 0.1 units of P. Making one unit of M requires 0.19, 0.11, and 0.08 units of A, M, and P, resp., and a unit of P consumes 0.1, 0.07 and 0.3 units of A, Af, and P, resp. The final demand by the FE sector is 40, 30, and 80 units of A, M, and P, resp. 1A. Find the consumption matrix C. mm e Alaa om oul m100 ON pop p {O10 O0g O38 1B. Find J — C and write it here; store it as [B] in your calculator. fates ‘deny the quia 980 _14e -, loo pole phat. ad main ~ aley. fequet iis to aa 5.130 8D -, O70 eh ave Mowe Aepadne; all cokulators fo Shs - aloo 0,000 700 | chen are Mv -fourye THREE otecimak places : =—_— 1C. Use your calculator to find (J — C)~! and write it here. (Just use [B] and the “x!” key) 1363 o3l ae (-<)"s | ore bles ona 0.219 e.teo LPS 1D. Let d be the final demand vector. In terms of C and d, what is the equation which we set up to find the production vector x? 5 he at op Fam the moetel, ( K=(-0) at 6 He Qeerion) 1E. Find the production vector x. (Hint: put the final demand vector d into your calculator as a matrix (say [.D]) and do an appropriate matrix multiplication. Bl. Fg tat mips (ancy'l = [B]"[0] = | ony (32.398 $1.154 1F, BONUS! It turns out that (Iz + C+ C? + C* + C4 + 05) d is san . What is the connection between this fact and your work in (LA-LE)? we mentimed 7 ches that Giee A right Concliftrns om c) f -t Lim ( Dy tee Coe me “*) = (z-c) F Noe . @ (rt ta che e7) af gbyaall be Gn ayperrxerantien 4 (z-¢) af \ o 2 1 are Close Orn instock He vectors in IE . quiz continues other side 
