Question

A manufacturer produces televisions. He estimates that by selling them for x dollars each, he will be able to sell 230 – 3x each week.
Step 1 of 2: Determine what price will yield a maximum revenue. (Round your answer to two decimal places.)​

Answer 1

Answer:

Price per television =38.30

Step-by-step explanation:

Number of units sold in one week =230-3x

Price of one unit =x

Total money produced in one week =x(230 - 3x)

(Here it doesn't matter total money is taken for a week or day because after differentiating and equating to zero that factor disappear )

Differentiate total amount with respect to x.

$\frac{dM}{dt}=230-6x$

Now equate it equal to zero to get extremum.

230-6x=0

Then, x = 38.30