question 6 Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Minimize c = 8x + y subject to 10x  +  20y ≥ 100 0.8x  +  0.1y ≥ 5 x ≥ 0, y ≥ 0 The minimum value c =  occurs at the endpoints  (x, y) =

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Q: Question 1. Find the dual problem of minimize x1 + x2 + x3, subject to x1 + 2x2 + 3x3 = 1, 6x1 + 5x2…

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Q: Minimize c = x + 2y subject to x + 4y ≥ 18 7x + y ≥ 18 x ≥ 0, y ≥ 0.

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A: To minimize c=0.2x+0.3y subject to below constraints. 0.2x+0.1y≥10.15x+0.3y≥1.510x+10y≥80x≥0y≥0

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Q: 1. Consider the problem below: Min (z) = -2x-×2 Subject to: X1 + X25 5 2x1 + 3x2 S 12 X1 5 4 X1, X2…

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Q: 4. Consider the feasible region below. 12 (4, 10) 10 (0, 8) 80 (8, 6) 6 4 |(10, 2) (0, 2) 2 6 8 10…

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Q: 1. Consider the following LP: Maximize z = x, + 3x, subject to *, + x, < 2 - x, + x, 5 4 x,…

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Q: Given the LP Model Minimize: z = x-y subject to: 4x — Зу s0 x+y s 10 х,у 20

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Q: Question 5: Consider the problem min - x2, subject to 2x1 – (5 – x2)³ 0, x2 > 0. Notice that the…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Given the LPP:Min C=x+2y Subject to                               x+5y⩾19 Constraints…