Solve the Following LP Problem Graphically Using Level Curves $\quad 5 \mathrm { X } _ { 1 } + 7 \mathrm { X } _ { 2 }$

question 3

Short Answer

Solve the following LP problem graphically using level curves.
MiN: $\quad 5 \mathrm { X } _ { 1 } + 7 \mathrm { X } _ { 2 }$
Subject to: $\quad 4 X _ { 1 } + 1 X _ { 2 } \geq 16$
$6 \mathrm { X } _ { 1 } + 5 \mathrm { X } _ { 2 } \geq 60$
$5 \mathrm { X } _ { 1 } + 8 \mathrm { X } _ { 2 } \geq 80$
$\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0$

---

Definitions:

Tertiary Alcohols

Alcohols in which the hydroxyl group (-OH) is bonded to a carbon atom that is itself bonded to three other carbon atoms.

Acid Chlorides

A class of organic compounds derived from acids by replacing a hydroxyl group with a chloride atom, known for their reactivity in forming other derivatives.

Propanoic Anhydride

An organic compound derived from propanoic acid, used in organic syntheses.

Phenol

An aromatic compound featuring a hydroxyl group (-OH) attached to a benzene ring, widely used in chemical manufacturing.