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A sales team estimates that the number of new phones it will sell is a function of the price that it sets. It estimates that if it
sets the price at.x dollars, it will sell f(x) = 2,712 - 3x phones. Therefore, the company's revenue is x (2,712 - 3x). Find
the price x that will maximize the company's revenue.


Sagot :

The price x which will maximize the company's revenue is 904

How to determine the price

The price x which will maximize the company's revenue is 240

Let

Price of the good = x

Number of goods sold = 2712- 3x

The formula for revenue is given as;

Revenue = Price × Quantity

= x( 2712 - 3x)

Expand the bracket

2712x - 3x^2

Therefore, the price x which will maximize the company's revenue will be:

2712x - 3x^2 =0

Collect like terms

3x² = 2712x

3x =  2712

Divide both side by 3

3x/3 = 2712/3

x = 904

Hence, the price x which will maximize the company's revenue is 904

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