Amanufacturer 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.)

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.

Now equate it equal to zero to get extremum.

230-6x=0

Then, x = 38.30

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!