4.1-1. Consider the following problem. Z = x₁ + 2x₂, Maximize subject to X₁ X1 ≤2 x₂ = 2 x₁ + x₂ = 3 and x₁ ≥ 0, X₂ ≥ 0. (a) Plot the feasible region and circle all the CPF solutions. (b) For each CPF solution, identify the pair of constraint bound- ary equations that it satisfies. (c) For each CPF solution, use this pair of constraint boundary equations to solve algebraically for the values of x₁ and .x₂ at the corner point. (d) For each CPF solution, identify its adjacent CPF solutions. (e) For each pair of adjacent CPF solutions, identify the constraint boundary they share by giving its equation.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4.1-1. Consider the following problem.
Z = X₁ + 2x₂,
Maximize
subject to
X1
≤2
x₂ =2
x₁ + x₂ = 3
and
X₁ ≥ 0,
x₂ = 0.
(a) Plot the feasible region and circle all the CPF solutions.
(b) For each CPF solution, identify the pair of constraint bound-
ary equations that it satisfies.
(c) For each CPF solution, use this pair of constraint boundary
equations to solve algebraically for the values of x₁ and x₂ at
the corner point.
(d) For each CPF solution, identify its adjacent CPF solutions.
(e) For each pair of adjacent CPF solutions, identify the constraint
boundary they share by giving its equation.
Transcribed Image Text:4.1-1. Consider the following problem. Z = X₁ + 2x₂, Maximize subject to X1 ≤2 x₂ =2 x₁ + x₂ = 3 and X₁ ≥ 0, x₂ = 0. (a) Plot the feasible region and circle all the CPF solutions. (b) For each CPF solution, identify the pair of constraint bound- ary equations that it satisfies. (c) For each CPF solution, use this pair of constraint boundary equations to solve algebraically for the values of x₁ and x₂ at the corner point. (d) For each CPF solution, identify its adjacent CPF solutions. (e) For each pair of adjacent CPF solutions, identify the constraint boundary they share by giving its equation.
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