Solve the following Linear Programming model using the graphical method (USING EXCEL) {Write the steps of construction} Q1) Maximize H = x + 3y Objective function subject to x + y ≤ 50 2x + y ≤ 60 x ≥ 0, y ≥ 0

Solve the following Linear Programming model using the graphical method (USING EXCEL) {Write the steps of construction} Q1) Maximize H = x + 3y Objective function subject to x + y ≤ 50 2x + y ≤ 60 x ≥ 0, y ≥ 0

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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

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Question

Solve the following Linear Programming model using the graphical method (USING EXCEL)
{Write the steps of construction}

Q1)
Maximize
H = x + 3y
Objective function
subject to
x + y ≤ 50
2x + y ≤ 60

x ≥ 0, y ≥ 0

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I am not sure why i got it marked incorrect
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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please help me and solve this