A. Solve the following linear program by the solver method.P = 100x + 200y3x + 3y 2 1614x + 5y s 102x + 7y z 10x, y 204. Maximize:Subject to:Solver Solution:BDE1Decision:4 Constraints:Total UsedSignAvailable5162738 Maximize P:3.

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Answered: A. Solve the following linear program…

Practical Management Science

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Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Simplex Method Example Maximize :P = 4x, + 3x, +2x3 |3x, + 2х, + 5х, < 23 2x, + x, + x, <8 X, + x, + 2x, s7 3x, +2x, +5x, +s, = 23 2x, + x, + X3 +S2 = 8 x, + X, +2x, +s, =7 (- 4x, – 3x, -2x, +P = 0 System: ST : X1, X2, X3 2 0 X2 X3 s, S2 s, P 1 0 0 0| 23 0 1 0 0 23 +3 = 7.6 8+2=(4) 3 2 5 s2 [2] 1 1 8 1 S3 1 2 0 0 1 0 7 7÷1= 7 Р(-4) -3 -2 0 о 01 - 3R, + R, → R, 1 Row Operations:R, → R, - R, + R, → R, and 4R, + R4 → R4 X2 X3 S2 S3 P [o 1/2 7/2 1 -3/2 0 0|11]11+(1/2) = 22 1/2 1/2 0 o 0| 4 4+ (1/2) = 8 X|1 s3 0 {1/2} 3/2 0 -1/2 1 0 3 3-(1/2) = 6 P0 (-1) o 0 X1 enters to become a basic variable, s2 exits to become a nonbasic variable (pivot column identifies the entering variable and pivot row identifies the exiting variable) 1/2 2 0 1 16 R, + R¸ → R, Row Operations: 2R, → R, and R3 + R2 → R, R, + R, → R4 S3 P 1 -1 -1 0 -1 0 X, X2 X3 S, S2 S0 0 Final Tableau x, 1 0 -1 0 2 8 1 1 2 0 6 2 1 22 X2 0 1 3 0 -1 PO 0 3 0 1 X2 enters to become a basic variable, s3 exits to become a nonbasic variable…
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Consider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 ≤ 1 x1 + x2 ≥ 2 x1,x2 ≥ 0 a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.)b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.
Please do not give solution in image format thanku
Consider the following nonlinear program. max x(y – 2) s.t. x = 33 - 3y y 2 2 (a) (b) Derive the KKT necessary conditions for the nonlinear Solve the nonlinear program using the KKT necessary conditions. program.
The sketch of a feasible region is given below, which point is not a point consistent with a production option for this programming problem? (0,10) (0,8) (0,0) O (0,6) O (4,0) O (4,2) O (6,0) (2,8) (6,4) (6,0) 27 (10,0) They are all in the feasible region.
only (a)
linear programming problem. one image is the question and the other image is required information.
1. Write a linear program for the problem. 2. What is the optimal production mix among different coffee varieties and the profit associated with it? 3. What should be the per bag profit of Tarrazu which will make it beneficial to produce this variety? 4. One Cup is considering increasing the weekly bags to 150. If it costs One Cup $3.00 per bag to procure beans of any variety. Conduct sensitivity analysis and determine if One Cup should consider increasing the per week production. 5. Identify the range over which per bag profit of Sumatra and Kona may vary and still retain the current production plan as optimal for One Cup. 6. Once roasted the coffee beans must be preserved properly. To ensure that, One Cup Coffee is considering investing in a vacuum packaging machine for 24 hours/ week. It takes 10, 15 and 10 minutes to pack a bag of Sumatra, Kona and Tarazzu respectively. Identify if the current production plan will suit the installation of the new packaging scheme.

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A. Solve the following linear program by the solver method. P = 100x + 200y 3x + 3y z 16 14x + 5y s 10 2x + 7y z 10 x, y 2 0 4. Maximize: Subject to: