An Introduction

Anish Shukla Optimization Engineering B. Tech Englisch 1 Seite

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Q.1> Garden Problem: To fence the largest possible rectangular area where the perimeter is less than 100.

A.1-> Variables are length and breadth

xy = 100

2(x+y)=100

f(x) = x(50-x)

f`(x) = 0

=> -2x + 50 = 0

x = 25, y= 25

f``(x) = -2

So, pt of maxima => Area is 25X25=625

OR MODEL

Maximize or minimize objective functions subject to constraints.

Q.2> Asian Paint Problems