# _River of of

## Full text

(1)

### Lecture

OptimizationProblems

Now

### that

we know the method to

the absolute

max min

a

### function

we can use this to

800M

wants to

a

one side

the

a

the

the

that

the

area

e

w w The

the

problem

as shown in

the

Area

w

o The

has 800 m

one

p

12W 800

800 2W

8

800 2W w 800W 2W

(2)

o we want to

### maximize

the area p we want

w s't

maximum

### Clearly

wzo Now o l 12W 800 the

maximum amount we could be is 400 p WE 0,4003

We

800 4W o w 200

ooo w 200

the critical

We now compute

### A lo

O

A 200 800 200 2 20072

160000 2 40000 80000 A 400 800 400 2 40032 0

ooo

maximum

is 80,000 m

Qued Suppose we

300cm

to work with

we want

### to

make the biggest most awesome

can ever

much

our can hold

### y f

Thein situationthe

### diagram

8 shown

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We want to maximize the volume

IT

The amount

### of

tri available 300cm

D

sty 1 211Th 300

her

### top

bottom side

21182 21184 300 D

300 211

2118

150 8

D vote IT

g 1508

### iT83

We want to maximize vol So we

on 8

rzo

Also o we

300cm

tin we must

211

E 300 P

1502

ST

RE

JT

0182

IT

(4)

o ol 150 311

0

D 11

50 D 8

we compute

O

o

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