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libretexts.org
10. Linear Programming Problems
Aug 15, 2024
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9. Show without using the Simplex Method that x1 = (5)/(26), x2 = (5)/(2), x3 =
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SOLVED: Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value.Minimize C = x 6ySubject to:x ≤ 7y ≤ 10x y ≥ 10x ≥ 0y ≥ 0(0,0) with C = 0(7,3) with C = 25(7,0) with C = 7(7,10) with C = 67(0,10) with C = 60None of the above.
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9. Show without using the Simplex Method that x1 = (5)/(26), x2 = (5)/(2), x3 = (27)/(26) is an optimal solution to the following linear programming problem:Maximize z = 9x1 14x2 7x3subject to2x1 x2 3x3 ≤ 65x1 4x2 x3 ≤ 122x2 ≤ 5x1, x2, x3 unrestricted.(Hint: Formulate the dual of this problem and then find a feasible solution.)
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