Ответ:
Пошаговое объяснение:
x₁₁=10 x₁₂=20 x₂₁=14 x₂₂=20 y₁=80 y₂=130 Y₁'=100 Y₂'=140, X₁'=? X₂'=?
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№ | 1 | 2 | Конечный продукт | Валовый выпуск |
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1 | 10 | 20 | 80 | 110 |
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2 | 14 | 20 | 130 | 164 |
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Коэффициент прямых затрат:
а₁₁=х₁₁/y₁=10/110=1/11.
a₁₂=x₁₂/y₂=20/164=5/41.
a₂₁=x₂₁/y₁=14/110=7/55.
a₂₂=x₂₂/y₂=20/164=5/41.
![A=\left[\begin{array}{ccc}\frac{1}{11} &\frac{5}{41} \\\frac{7}{55} &\frac{5}{41} \\\end{array}\right] \\ (E-A)=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]-\left[\begin{array}{ccc}\frac{1}{11} &\frac{5}{41} \\\frac{7}{55} &\frac{5}{41} \\\end{array}\right] =\left[\begin{array}{ccc}\frac{10}{11} &-\frac{5}{41} \\-\frac{7}{55} &\frac{36}{41} \\\end{array}\right] =\frac{10*36}{11*41} -\frac{(-7*5)}{(-55*41)}=\\=\frac{360}{11*41}-\frac{7}{11*41}=\frac{353}{451}=0,7827.\\](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B11%7D%20%26%5Cfrac%7B5%7D%7B41%7D%20%5C%5C%5Cfrac%7B7%7D%7B55%7D%20%26%5Cfrac%7B5%7D%7B41%7D%20%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%20%28E-A%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B11%7D%20%26%5Cfrac%7B5%7D%7B41%7D%20%5C%5C%5Cfrac%7B7%7D%7B55%7D%20%26%5Cfrac%7B5%7D%7B41%7D%20%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B10%7D%7B11%7D%20%26-%5Cfrac%7B5%7D%7B41%7D%20%5C%5C-%5Cfrac%7B7%7D%7B55%7D%20%26%5Cfrac%7B36%7D%7B41%7D%20%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cfrac%7B10%2A36%7D%7B11%2A41%7D%20-%5Cfrac%7B%28-7%2A5%29%7D%7B%28-55%2A41%29%7D%3D%5C%5C%3D%5Cfrac%7B360%7D%7B11%2A41%7D-%5Cfrac%7B7%7D%7B11%2A41%7D%3D%5Cfrac%7B353%7D%7B451%7D%3D0%2C7827.%5C%5C "A=\left[\begin{array}{ccc}\frac{1}{11} &\frac{5}{41} \\\frac{7}{55} &\frac{5}{41} \\\end{array}\right] \\ (E-A)=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]-\left[\begin{array}{ccc}\frac{1}{11} &\frac{5}{41} \\\frac{7}{55} &\frac{5}{41} \\\end{array}\right] =\left[\begin{array}{ccc}\frac{10}{11} &-\frac{5}{41} \\-\frac{7}{55} &\frac{36}{41} \\\end{array}\right] =\frac{10*36}{11*41} -\frac{(-7*5)}{(-55*41)}=\\=\frac{360}{11*41}-\frac{7}{11*41}=\frac{353}{451}=0,7827.\\")
