Question

Problem Sets: Simplex Solution to LP Problems Solve the following problem using the Simple Method. (Complete Solution with DECISION) Simplex Maximization Maximize: $Z = 80X_1 + 70X_2$ Subject to: $2X_1 + X_2 \le 12$ $2X_1 + 9X_2 \ge 36$ $2X_1 + 3X_2 = 24$ $X, Y \ge 0$ Simplex Minimization Minimize: Subject to: $Z = 6P + 16C$ $P + C = 400$ $P \le 150$ $C \ge 200$ $P, C \ge 0$

          Problem Sets: Simplex Solution to LP Problems
Solve the following problem using the Simple Method. (Complete Solution with DECISION)
Simplex Maximization
Maximize:
$Z = 80X_1 + 70X_2$
Subject to:
$2X_1 + X_2 \le 12$
$2X_1 + 9X_2 \ge 36$
$2X_1 + 3X_2 = 24$
$X, Y \ge 0$
Simplex Minimization
Minimize:
Subject to:
$Z = 6P + 16C$
$P + C = 400$
$P \le 150$
$C \ge 200$
$P, C \ge 0$

Problem Sets: Simplex Solution to LP Problems
Solve the following problem using the Simple Method. (Complete Solution with DECISION)
Simplex Maximization
Maximize:
Z = 80X1 + 70X2
Subject to:
2X1 + X2 ≤ 12
2X1 + 9X2 ≥ 36
2X1 + 3X2 = 24
X, Y ≥ 0
Simplex Minimization
Minimize:
Subject to:
Z = 6P + 16C
P + C = 400
P ≤ 150
C ≥ 200
P, C ≥ 0

Added by Zachary B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Drew Scalzo

Step 1

Let's introduce slack variables S1 and S2 for the first two constraints: 2X + X1 + S1 = 2 X1 + 9X2 + S2 = 36 2X + 3X3 = 24 Now, we can rewrite the objective function as: Z = 80X + 70X2 To convert this into a minimization problem, we can multiply the objective Show more…

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Problem Sets: Simplex Solution to LP Problems Solve the following problem using the Simplex Method. (Complete Solution with DECISION) Simplex Maximization: Maximize Z = 80X + 70X2 Subject to: 2X + X1 â‰¤ 2 X1 + 9X2 â‰¤ 36 2X + 3X3 = 24 X, Y â‰¥ 0 Simplex Minimization: Minimize Z = 6P + 16C Subject to: P + C = 400 P â‰¤ 150 C â‰¤ 200 P, C â‰¥ 0