Question

Ex. (3) The demand D for a chocolate is inversely
proportional to square of it's price P. It is
observed that the demand is 4 when price is
4 per chocolate. Find the marginal demand
when the price is 4.

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Answer 1

Step-by-step explanation:

To find Marginal Revenue function

Demand for a certain Product is represented by the Equation

p=500+25x− 3x ^2

Where x is the number units and p is the price per unit

Marginal Revenue function is the derivative of the revenue function

So , Revenue Function is

R=x.p

R=x.(500+25x− 3x ^2 )

R=(500x+25x ^2 − 3x ^3 )

Now , Marginal Revenue function can be Calculated as

= dxdR

= dx×d

(500x+25x ^2− 3x ^3 )

=(500+50x− 33x ^2 )

=(500+50x−x ^2 )

Hence , Marginal Revenue function=500+50x−x ^2

units

ii) To find Marginal Revenue when 10 units are sold

Marginal Revenue function =500+50x−x ^2

At x=10units

=500+50(10)−5 ^2

=1000−25

=975 units

Answer 2

Hi buddy

Here is your answer

#sibi ❤️