You can use GeoGebra
to find the revenue function and the demand.
If you want to find the revenue function when you have the price function , go to Item 3.
If you want to find the demand that yields the greatest profit, and also use it to find the greatest revenue and the price of the product, go to Item 3.
If you want to find the demand when you have the revenue function , go to Item 3.
GeoGebra
Instruction 1
Algebra View
under View
in Menu
. Algebra View
, like this: p(x) = <Expression>
where you replace <Expression>
with your expression. Press Enter
.
Algebra View
, type R(x) = Expand(x * p(x))
Press Enter
. Your revenue function is displayed in the same row.
GeoGebra
Instruction 2
GeoGebra
. Extremum(<Polynomial>)
where you replace <Polynomial>
with R
. The -coordinate of the point you get is the demand that yields the greatest revenue, while the -coordinate is the greatest revenue itself.
p(e)
where e
is replaced by the value of the -coordinate from the previous step. The value you get is the price that yields the greatest revenue. You can also type
(p, e(p))
which gives you a point on the graph of showing the price along with the point from the previous step.
GeoGebra
Instruction 3
If you have followed the instructions above, it’s recommended that you save the GeoGebra
file you were working with now, close it, and open a new GeoGebra
file.
CAS
under View
in Menu
. R(x) := <Expression>
in CAS
, where you replace <Expression>
with your expression. Don’t forget the colon before the equals sign!
Solve(<Equation>, <Variable>)
where
<Equation>
is replaced with p = R/x
,
<Variable>
is replaced with x
.
GeoGebra
will print an equation The right-hand side of this equation is the demand.