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Alexandra [31]
3 years ago
6

A sales team estimates that the number of new phones they will sell is a function of the price that they set. They estimate that

if they set the price at x dollars, they will sell f(x)=1720−5x phones. Therefore, the company's revenue is x⋅(1720−5x). Find the price x which will maximize the company's revenue.
Mathematics
2 answers:
anygoal [31]3 years ago
6 0

Answer:

<h2>The price is 860 dollars.</h2>

Step-by-step explanation:

The revenue of the company is given by (1720 - x)x, which is a polynomial of x, the price of the new phone.

The revenue of the company will be the highest, if \frac{d ((1720 - x)x)}{dx} = 0, that is

1720 - 2x = 0

or, x = 860.

Hence, the price of the new phone to maximize the company's revenue is 860 dollars.

ki77a [65]3 years ago
5 0

Answer:

172

Step-by-step explanation:

trust

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The polynomial y = x^{2} - 7\cdot x + k is a second-order polynomial of the form (x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b. By direct comparison, we construct the following system of equations:

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