V
ldaryiud8weqss
.
-Let
R(x) represent
the
revenue
obtained
from
the sale
ofx
units
of
an
item.
-Marqinal
Revenue
=
R
'(xl
and measures
the
rate
of change in
revenue
per
unit
change
in
x..
(tlis
approximates
the
exffra
revenue
obtained from the
sale
of one
additional unit)
Let
R(x)
=
1000
. Fhd
the
marginal
revenue
of
the 1006
unit.
2x+1
-Since
R(x) is a
decreasing
function, the
marginal
revenue
will
always be negative.
This
compaoy
will
be
out of
busiiless in a short
period
oftime.
-Msrginal
Profit
-Let
r(x)
represent
the
profit
obtained Aom
producing
and
selling
x units
of an item.
-MFrginaf
Pro,frf
=
r
'ff)
and meazures the
rate
of
change
in
prolit per
unit change
in x.
(this
approximates
the
extra
profit
obtained
from
producing
and selling
one
additional
unit)
Exaople: Let
r(x)
=
-10Oxz
+13,000x
-120
repreeent the
profit
obtained form
the
sale
ofx
cars
in
one
week.
Find
ths
marginal
prolit
when
25
carsare
sold in
one week.
