# 7.2 Determine the extreme points of the following convex region: ...

## Question

7.2
Determine the extreme points of the following convex region:
-x₁ + x₂ ≤ 4
x₁ - x₂ ≤ 10
x₁ + x₂ ≤ 12
x₁, x₂ ≥ 0

7.3
Determine the extreme points of the following polyhedral set. For each extreme
point. identify the linearly independent constraints defining it.

7.6 Given the solutions P = {(1, 1), (2, 5), (3,3), (4, 6), (5, 2). (6, 3)], what linear inequalities describe the convex hull of p? What are its extreme points?

7.8 For the feasible region found in Exercise 7.6,
(a) For each extreme point, find an (nonconstant) objective function that makes it uniquely optimal.
(b) For each pair of adjacent extreme points, find an (nonconstant) objective
function that makes both optimal.

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