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

Question

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] · Answer 1 · 2022-06-03T17:43:39+03:00

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] · Answer 2 · 2022-06-03T18:46:12+03:00

ki77a [65]3 years ago

5 0

Answer:

172

Step-by-step explanation:

trust