The total revenue for dante's villas is given as the function r(x)=300x−0.2x2, where x is the number of rooms filled. what number of rooms filled produces the maximum revenue?

Solution:- Given that the total revenue function

,where x is the number of rooms filled

Now, differentiating the function w.r.t. x,we get

To find critical points ,Put

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers