Given the following simplex tableau, state the number of the pivot column, the number of the pivot row, and the value of the pivot element. If you were pivoting on R1,C2, then you would enter 2 for the pivot column and 1 for the pivot row. X 2 pivot column pivot row pivot element Y 2 0 20 5₁ $₂ $3 P constant 0 1 -90 29 0 0 4 o 72 10 0 0 43 -6 1 135 -17 1 -6 -20 17 0 -12 0 -5 0 0 -Select-
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- Consider the following intermediate tableau (not the Initial Simplex tableau): p x1 x2 s1 s2 RHS 0 0 3/4 1 -1/4 15 0 1 1/4 0 1/4 25 1 0 -1/2 0 1/2 50 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…Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources—rubber and leather. The resource requirements for each product and the total resources available are as follows: Product Rubber (lb.) Leather (ft.2) Basketball 3 4 Football 2 5 Total resource available 500 lb. 800 ft.2 Each basketball produced results in a profit of $12, and each football earns $16 in profit. 1) solve by the Simplex methodTherefore, the solution from the simplex tableau is as shown below. x1 =_____ x2=_____ x3=______ S1=______ s2=______ z=______
- Solve the following LP using the simplex method: Note: The constraint with the "=" sign in the simplex iteration is added with an artificial variable, so that it becomes 3x1 + x2 + A1= 3Which 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 =-35Use the simplex method to solve the following maximum problem: Maximize: P=4x1+3x2+6x3 Subject to the constraints: 3x1+x2+3x3≤30 2x1+2x2+3x3≤40 x1≥0 x2≥0 x3≥0 and using your final tableau answer the questions below by entering the correct answer in each blank box. Please enter fractions as 3/5, -4/7, and so on. x1= x2= x3= P=
- Answer the given question with a proper explanation and step-by-step solution. Please provide the answer using the math tool otherwise I give the downvote. Consider the simplex tableau given below. x1 x2 1 4 0 -2 0 -5 0 1 0 (A) Which variables are basic variables? O x₁,S₁, and S₂ X₁,S₁, and P X2,S2, and P X2,S₁,and S2 X2 and s₂ S2 and P $₂ 3 4 -3 Which variables are nonbasic variables? X₂ and s₁ S₁, and $2 P 0 0 1 19 25 10 (B) Find the corresponding values from the tableau above. ×₁=?In solving maximization problem using simplex method, the optimum column is obtained by getting the column with A. smallest positive value in the Cj - Zj row variables. B. the largest positive value in the Cj - Zj row. C. zero value in the Cj - Zj row. D. the largest negative value in the Cj - Zj row.At Long John Silver’s (LJS), Platter 1 comes with 2 pieces of fish, 3 pieces of chicken, and 5 fried shrimp, while Platter 2 comes with 3 pieces of fish, 1 piece of chicken, and 8 fried shrimp. Platter 1 sells for 8 dollars and platter 2 sells for 10 dollars. If LJS has access to 1000 pieces of fish, 1200 pieces of chicken, and 2600 fried shrimp, what is the optimal number of platters LJS should make in order to maximize its profit? Note that the constraints relate to (please use these in order) fish, chicken, and shrimp.