Consider the following problem minz 4x11 8x12 6x13 4x14 9x21 8x22 8x23 5x24 6x31 7x32 5x33 9x34 s t x11 x12 x13 x14 70 x21 x22 x23 x24 80 x31 x32 x33 x34 50 x11 x21 x31 40 x12 x22 x32 60 x13 x23 x33 50 x14 x24 x34 50 xij 0, i 1,2, 3 j 1, 2,3, 4 Represent the problem in networks and determine in what class of problems with network programming it fits, besides the optimal solution

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Question: Consider the following problem: minz 4x11 + 8x12 + 6x13 + 4x14 + 9x21 + 8x22 + 8x23 + 5x24 + 6x31 + 7x32

Consider the following problem: minz ¼ 4x11 + 8x12 + 6x13 + 4x14 + 9x21 + 8x22 + 8x23 + 5x24 + 6x31 + 7x32 + 5x33 + 9x34 s:t: x11 + x12 + x13 + x14 ¼ 70 x21 + x22 + x23 + x24 ¼ 80 x31 + x32 + x33 + x34 ¼ 50 x11 + x21 + x31 ¼ 40 x12 + x22 + x32 ¼ 60 x13 + x23 + x33 ¼ 50 x14 + x24 + x34 ¼ 50 xij 0, i ¼ 1,2, 3; j ¼ 1, 2,3, 4 Represent the problem in networks and determine in what class of problems with network programming it fits, besides the optimal solution.

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