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:

Ergotamine

A chemical compound derived from the ergot fungus, used medicinally to treat migraines due to its vasoconstrictor properties.

Medically Supervised

A health-related activity or intervention that is directed or monitored by a qualified healthcare professional to ensure safety and effectiveness.

Grazing Hoofed

Refers to hoofed animals (ungulates) that feed primarily on grass and other low-lying vegetation.

Entomophthora Muscae

A species of fungus that infects and kills flies, part of a natural control mechanism for insect populations.