Question

In: Accounting

Min Z = 60x1 + 50x2 the constraints are : 5x1 + 3x2 ≥ 60 (Benefit...

Min Z = 60x1 + 50x2
the constraints are :
5x1 + 3x2 ≥ 60 (Benefit 1)
2x1 + 2x2 ≥ 30 (Benefit 2)
7x1 + 9x2 ≥ 126 (Benefiy 3)
x1 ≥ 0, x2 ≥ 0 non negative

from that linear modelling how to construct dual model and find reducing cost ? can anyone help .

Solutions

Expert Solution

<<....End....>>


Related Solutions

Min 8X1+3X2 S.T. 50X1 + 100X2 ≤ 1200 5X1 + 4X2 ≥ 60 X2 ≥ 3...
Min 8X1+3X2 S.T. 50X1 + 100X2 ≤ 1200 5X1 + 4X2 ≥ 60 X2 ≥ 3 X1,X2 ≥0 Using two-phase simplex method to solve it.
Solve this problem with the revised simplex method: Maximize            Z = 5X1 + 3X2 + 2X3...
Solve this problem with the revised simplex method: Maximize            Z = 5X1 + 3X2 + 2X3 Subject to            4X1 + 5X2 + 2X3 + X4 ≤ 20                             3X1 + 4X2 - X3 + X4 ≤ 30                            X1, X2, X3, X4 ≥ 0
Consider the following linear program. Maximize z= 5x1+ 3x2 subject to 3x1+ 5x2≤15 5x1+ 2x2≤10 –...
Consider the following linear program. Maximize z= 5x1+ 3x2 subject to 3x1+ 5x2≤15 5x1+ 2x2≤10 – x1+ x2≤2 x2≤2.5 x1≥0, x2≥0 a. Show the equality form of the model. b. Sketch the graph of the feasible region and identify the extreme point solutions. From this representation find the optimal solution. c. Analytically determine all solutions that derive from the intersection of two constraints or nonnegativity restrictions. Identify whether or not these solutions are feasible, and indicate the corresponding objective function...
1. Solve the following integer optimization model by using Excel Solver: Maximize Z = 5x1 +...
1. Solve the following integer optimization model by using Excel Solver: Maximize Z = 5x1 + 6x2 Subject to 3x1 + 4x2 < 10 4x1 + 2x2 < 15      x1, x2 > 0 and integer Please show how to use the excel solver as well as steps. :)
Consider the following linear programming problem: Max Z =          3x1 + 3x2 Subject to:      ...
Consider the following linear programming problem: Max Z =          3x1 + 3x2 Subject to:       10x1 + 4x2 ≤ 60                   25x1 + 50x2 ≤ 200                   x1, x2 ≥ 0 Find the optimal profit and the values of x1 and x2 at the optimal solution.
Max Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2     ≤ 8 2x2...
Max Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2     ≤ 8 2x2 + 5x3     ≤ 12 3x1 + x2 + 4x3         ≤15 and x1,x2,x3≥0; Indicate clearly the optimal basic and nonbasic variables and their values and write the reduced cost of each optimal nonbasic variable.
"Primal" MAXIMIZE Z = 12X1 + 18X2 +10X3 S.T. 2X1 + 3X2 + 4X3 <= 50...
"Primal" MAXIMIZE Z = 12X1 + 18X2 +10X3 S.T. 2X1 + 3X2 + 4X3 <= 50 -X1 + X2 + X3 <= 0 0X1 - X2 + 1.5X3 <= 0 X1, X2, X3 >=0 1. Write the "Dual" of this problem. 2. Write the "Dual of the Dual" of this problem. For steps 3 & 4, use the Generic Linear Programming spreadsheet or the software of your choice. (Submit a file pdf, text, xls file, etc., indicating the solution values...
Question: 1- A database has four transactions. Let min sup = 60% and min conf =...
Question: 1- A database has four transactions. Let min sup = 60% and min conf = 80%. CID TID Items Bought 0... 1- A database has four transactions. Let min sup = 60% and min conf = 80%. CID TID Items Bought 01 T100 {King’s-Crab, Sunset-Milk, Dairyland-Cheese, Best-Bread } 02 T200 {Best-Cheese, Dairyland-Milk, Goldenfarm-Apple, Tasty-Pie, Wonder-Bread} 01 T300 {Westcoast-Apple, Dairyland-Milk, Wonder-Bread, Tasty-Pie} 03 T400 {Wonder-Bread, Sunset-Milk, Dairyland-Cheese} (a) At the granularity of item category (e.g., itemi could be “Milk”), for...
Simplex Method Consider the following linear programming problem: max z = 6x1 + 3x2 - 9x2...
Simplex Method Consider the following linear programming problem: max z = 6x1 + 3x2 - 9x2 - 9x3 + 15x4 s.t. 2x1 + 4x2 +6x3 + 8x4 <= 80    6x1 - 3x2 +3x3 + 6x4 <= 24    12x1 - 6x2 + 3x3 - 3x4 <= 30    x1, x2, x3, x4 >= 0 Rewrite the problem in standard form, that is, add the necessary slack variables in order to consider only equality constraints (and non-negativity). What is the...
consider the linear programming problem maximize z = x1 +x2 subjected tp x1 + 3x2 >=...
consider the linear programming problem maximize z = x1 +x2 subjected tp x1 + 3x2 >= 15 2x1 + x2 >= 10 x1 + 2x2 <=40 3x1 + x2 <= 60 x1 >= 0, x2>= 0 solve using the revised simplex method and comment on any special charateristics of the optimal soultion. sketch the feasible region for the problem as stated above and show on the figure the solutions at the various iterations
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT