Concept explainers
For each of the simplex tableaux in Exercises 7–10,
(a) Determine the next pivot element.
(b) Determine the next tableau.
(c) Determine the particular solution corresponding to the tableau of part (b).
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Finite Mathematics & Its Applications Plus Mylab Math With Pearson Etext -- Title-specific Access Card Package (12th Edition)
- Consider the following intermediate tableau (not the Initial Simplex tableau): p x1 x2 s1 s2 rhs 0 0 1 1/2 -1/2 3/2 0 1 0 1/2 1/2 5/2 1 0 0 2 -1 7 a) Determine the pivot column and the pivot element, and perform all the row operations for the entire pivot column to obtain the next new tableau. Once you have the new tableau, look at the numbers you have in the objective row and enter each one as requested in each box below. Note: Where applicable, fractions must be entered as 2/5, -1/3, and so on. Under column x1 in the objective row, you have: Under column x2 in the objective row, you have: Under column s1 in the objective row, you have: Under column s2 in the objective row, you have: Under column RHS in the objective row, you have: b) Given the new tableau that you obtained above, three interpretations are possible. In the box below, type or copy and paste whichever answer shown in boldface letters below that you think…arrow_forwardWhich of the following is the converted constraint of 3x + 2y ≥ 35 under minimization of profit in simplex method? a 3x + 2y - S1 + A1 = 35 b. 3x + 2y + S1 + A1 = 35 c. 3x + 2y + S1 - A1 = 35 d. 3x + 2y - S1 - A1 =-35 e. 3x + 2y - S1 + A1 =-35arrow_forwardConsider the following simplex tableau. x y z s1 s2 s3 P constant -10 0 0 -1 3 1 0 300 −6 1 0 −5 1 0 0 2,750 −7 0 1 2 8 0 0 14 9 0 0 −4 −1 0 1 540 (a) State the value of each variable. x= y= z= s1= s2= s3= P= State whether the variables are basic or non-basic. x y z s1 s2 s3 P (b) Is the given simplex tableau a final tableau?arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage