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Solve the below Linear program and find the optimal solution from the below options: Minimize z = 2x 1 +3x 2 Subject to x 1+x2 ≥6 7x1+x22 14 x 1 and x 220 Z=15.5 O Z=24 Z=14 Z=12

Solve the below Linear program and find the optimal solution from the below options: Minimize z = 2x 1 +3x 2 Subject to x 1+x2 ≥6 7x1+x22 14 x 1 and x 220 Z=15.5 O Z=24 Z=14 Z=12

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Solve the below Linear program and find the optimal solution from the below options: Minimize \( z = 2x_1 + 3x_2 \) Subject to: - \( x_1 + x_2 \geq 6 \) - \( 7x_1 + x_2 \geq 14 \) - \( x_1 \) and \( x_2 \geq 0 \) Options: - \( \bigcirc \) \( Z = 15.5 \) - \( \bigcirc \) \( Z = 24 \) - \( \bigcirc \) \( Z = 14 \) - \( \bigcirc \) \( Z = 12 \) (selected) The correct optimal solution option selected is \( Z = 12 \).
Transcribed Image Text:Solve the below Linear program and find the optimal solution from the below options: Minimize \( z = 2x_1 + 3x_2 \) Subject to: - \( x_1 + x_2 \geq 6 \) - \( 7x_1 + x_2 \geq 14 \) - \( x_1 \) and \( x_2 \geq 0 \) Options: - \( \bigcirc \) \( Z = 15.5 \) - \( \bigcirc \) \( Z = 24 \) - \( \bigcirc \) \( Z = 14 \) - \( \bigcirc \) \( Z = 12 \) (selected) The correct optimal solution option selected is \( Z = 12 \).
Expert Solution
Step 1: Linear programming model:

A mathematical description of an optimization problem in which a linear objective function must be maximized or minimized while taking into account a number of linear constraints is known as a linear programming (LP) model. The decision variable, objective function, and constraints are three of the main parts of the LP model.

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