Revenue=quantity x price= (-2p+1000) (p)= -2p^2+1000p
The maximum revenue will occur when the first derivative is zero so when 2(-2p)+1000=0;p=250
Which generates 125,000 in revenue
Try prices of 245 and 255 and you will see they both are less than 250 thereby proving the max revenue is 250
The derivative of
is
.
In this exercise we must apply the definition of derivative, which is described below:
(1)
If we know that
, then the derivative of the expression is:




The derivative of
is
.
We kindly invite to check this question on derivatives: brainly.com/question/23847661
Answer:
w = ±![\sqrt[4]{36/5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B36%2F5%7D)
Step-by-step explanation:
-8+5w^4=28
You can regroup it:
5w^4 - 8 = 28
Add 8 to both side:
5w^4 = 28 + 8
5w^4 = 36
Divide both side by 5:
5w^4/5 = 36/5
w^4 = 36/5
Take the 4 root of both sides:
w = ±![\sqrt[4]{36/5}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B36%2F5%7D)
Hope this help you :3