Linear Programming is an important technique in Operations Research.

a$.$List the essential mathematical components of a Linear Programming problem that

can be solved by the simplex method, and common methods of obtaining each of

these mathematical components in practice.

$$b$.$ Explain the practical "real life"$$limitations of each of the mathematical components

listed in your answer to Part $($a$)$ above.

c$.$Explain what is commonly referred to as "Sensitivity Analysis" in Linear

Programming. Illustrate your answer by some simple practical examples from

industry.