Solve the linear programming problem by the simplex y2 - 2x +41 method. Minimize 11x + 4y subject to the constraints ys -x+48 shown on the right. y=-x+28 y²-x+6 x 20, y20 The minimum value of 11x + 4y is , which is attained for x = and y=. (Type integers or fractions.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Solve the linear programming problem by the simplex y² - 2x +41
method. Minimize 11x + 4y subject to the constraints
shown on the right.
ys
-x+48
1
ys-
3x+28
The minimum value of 11x + 4y is
(Type integers or fractions.)
y2
yz - /x+6
x>0, y²0
which is attained for x =
and y =
(
Transcribed Image Text:Solve the linear programming problem by the simplex y² - 2x +41 method. Minimize 11x + 4y subject to the constraints shown on the right. ys -x+48 1 ys- 3x+28 The minimum value of 11x + 4y is (Type integers or fractions.) y2 yz - /x+6 x>0, y²0 which is attained for x = and y = (
Expert Solution
Step 1: Analysis and Introduction

Given Information:

Objective function: Minimize space 11 x plus 4 y

Constraints:

table row y greater or equal than cell negative 2 x plus 41 end cell row y less or equal than cell negative x plus 48 end cell row y less or equal than cell negative 1 third x plus 28 end cell row y greater or equal than cell negative 1 fourth x plus 6 end cell row x greater or equal than 0 row y greater or equal than 0 end table

To solve:

The LPP by Simplex Method.

Inequality Property:

a less or equal than b left right double arrow negative a greater or equal than negative b

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