Praetice

Problems

for

Exam

#3

Show

all

work

in

the space

below

the

question

l.)

R(x)

=

27xn

1'

+{3l:lJix'

+40x-200 represents

the revenue

for

the sale

of

x

units

of

a

given item

and

'

CGi

=

ZTxa

=(Z/f

y.3 +4'?

+14x-208, represents

the

total

cost

of

producdon

of x

units.

(p0)

a)

Find

the

sales

level,

x, that

produces

the

ma:<imum

profit'

b)

Find

the

mucimum

Profit.

.

c)

use

the

2d

derivative

of

the

profit functioa

to

justiff

yotn

answer.

2)

Giventhe

equation

g1x)=

*'-

6r'+9x

-

8.

Find

the

following:

a)

f'(x)

b)

f"(x)

e) Use

f

'(x)

to

find

maximum

and

minirnum

points. Justiff

yogr

affiwers.

d)

Find

the

p.oint

of

inflection.

e) using

the

window,

x

in

[-10,10]

and

y

in

[-10,10],

sketch

the

graplt of f.