11.07.2015 Views

RIJEÅ ENI ZADACI IZ MATEMATIKE

RIJEÅ ENI ZADACI IZ MATEMATIKE

RIJEÅ ENI ZADACI IZ MATEMATIKE

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54. Zadana je input output tabela neke trosektorske privredeQ i Q ij q i150 30 40 50 30200 50 80 50 20250 30 60 100 60Napišite novu tabelu ako se ukupni output prvog sektora poveća za 20%,drugog sektora za 25%, a finalna potražnja prvog sektora smanji se za 20%.Rješenje:Q ′ 1 = 150 + 20 · 150 = 180100Q ′ 2 = 200 + 25 · 200 = 250100q 1 ′ = 30 − 20 · 30 = 24100A = ⎣⎡ ⎤ ⎡ ⎤180 24Q ′ = ⎣250⎦ , q ′ = ⎣q ′ ⎦Q ′ 23 q 3′ ⎡⎤ ⎡3015050150301504020080200602005025050250100250⎦ = ⎣1513151525310151525⎤⎦⎡T = I − A = ⎣45−13−15−1535−310−15−1535⎤⎦61

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