11.07.2015 Views

RIJEÅ ENI ZADACI IZ MATEMATIKE

RIJEÅ ENI ZADACI IZ MATEMATIKE

RIJEÅ ENI ZADACI IZ MATEMATIKE

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50. Zadana je input-output tabela neke trosektorske privredeQ i Q ij q i100 20 20 30 30200 10 40 60 90300 20 60 120 100Napišite novu tabelu ako je novi ukupni output prvog sektora 115, drugogsektora 230 i trećeg sektora 345.Rješenje:⎡A = ⎣201001010020100202004020060200⎡ ⎤115Q ′ = ⎣230⎦345⎤ ⎡303000.2 0.1 0.160 ⎦ = ⎣0.1 0.2 0.20.2 0.3 0.4300120300⎤⎦Q i Q ij q i115 23 23 34.5 34.5230 11.5 46 69 103.5345 23 69 138 115q ′ 1 = 115 − 23 − 23 − 34.5 = 34.5q ′ 2 = 230 − 11.5 − 46 − 69 = 103.5q ′ 3 = 345 − 23 − 69 − 138 = 11556

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