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Solve the given problem using the simplex method. Maximize: P = 400x + 200y Subject to: x + y = 30 2x + 8y >= 80 x <= 20 x, y >= 0 Maximum profit: Leaving variable from table 3: Value of the pivot element in table 1: Value of y in the optimal table: Entering variable from table 3: Leaving variable from table 2: Value of pivot element in table 2: Entering variable from table 2: Entering variable from table 1: Gross profit in table 3: Value of pivot element in table 3: Gross profit in Table 2: Value of x in the optimal table: Leaving variable from table 1: Gross profit in Table 1:

Solve the given problem using the simplex method. Maximize: P = 400x + 200y Subject to: x + y = 30 2x + 8y >= 80 x <= 20 x, y >= 0 Maximum profit: Leaving variable from table 3: Value of the pivot element in table 1: Value of y in the optimal table: Entering variable from table 3: Leaving variable from table 2: Value of pivot element in table 2: Entering variable from table 2: Entering variable from table 1: Gross profit in table 3: Value of pivot element in table 3: Gross profit in Table 2: Value of x in the optimal table: Leaving variable from table 1: Gross profit in Table 1:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 71E
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Solve the given problem using the simplex method.
Maximize: P = 400x + 200y
Subject to:
x + y = 30
2x + 8y >= 80
x <= 20
x, y >= 0

 

Maximum profit:

Leaving variable from table 3:

Value of the pivot element in table 1:

Value of y in the optimal table:

Entering variable from table 3:

Leaving variable from table 2:

Value of pivot element in table 2:

Entering variable from table 2:

Entering variable from table 1:

Gross profit in table 3:

Value of pivot element in table 3:

Gross profit in Table 2:

Value of x in the optimal table:

Leaving variable from table 1:

Gross profit in Table 1:

Table 1 Pj 400 200 PROD QTY X S1 S2 S3 S1 30 1 1 S2 -80 -2 -8 S3 zj |Pj - Zj 20 1 1 400 200 Table 2 Pj 400 200 PROD QTY S1 S2 S3 1 -1 -8 1 2 1 Zj Pj - Zj 400 400 Table 3 Pj 400 200 S3 1/8 PROD QTY S1 S2 - 3/4 - 1/4 1 1 - 1/8 1 Zj Pj - Zj 400 200 -25 350 Table 4 Pj 400 200 PROD QTY X S1 S2 S3 8 1 -6 -1 1 Zj |Pj - Zj 400 200 200 200 -200 -200
Transcribed Image Text:Table 1 Pj 400 200 PROD QTY X S1 S2 S3 S1 30 1 1 S2 -80 -2 -8 S3 zj |Pj - Zj 20 1 1 400 200 Table 2 Pj 400 200 PROD QTY S1 S2 S3 1 -1 -8 1 2 1 Zj Pj - Zj 400 400 Table 3 Pj 400 200 S3 1/8 PROD QTY S1 S2 - 3/4 - 1/4 1 1 - 1/8 1 Zj Pj - Zj 400 200 -25 350 Table 4 Pj 400 200 PROD QTY X S1 S2 S3 8 1 -6 -1 1 Zj |Pj - Zj 400 200 200 200 -200 -200
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