Given the Following Linear Program

question 1

Essay

Given the following linear program:
MAX 5x₁ + 7x₂
s.t.x₁ < 6
2x₁ + 3x₂ < 19
x₁ + x₂ < 8
x₁,x₂ > 0
The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x₁ = 5,x₂ = 3,and z = 46.
a.Calculate the range of optimality for each objective function coefficient.
b.Calculate the dual price for each resource.

---

Definitions:

Self-Induced Vomiting

A behavior where an individual voluntarily provokes vomiting, often associated with eating disorders such as bulimia.

Intense Fear

A strong, often overwhelming emotion caused by anticipation or awareness of danger and threat, leading to extreme anxiety or discomfort.

Purging Behaviors

Actions such as self-induced vomiting, excessive exercise, or misuse of laxatives, undertaken in order to eliminate consumed food and prevent weight gain, often associated with eating disorders.

DSM-IV

The Diagnostic and Statistical Manual of Mental Disorders, 4th Edition, a manual published by the American Psychiatric Association detailing diagnostic criteria for mental disorders.