Answer:
The profit function is:
The maximum value is 406, 300 occurring when x = 640.
Step-by-step explanation:
The revenue function is:
And the cost function is:
Then the total profit function will be:
This is a quadratic function.
Therefore, the maximum value of the total profit will occur at its vertex point.
The vertex of a quadratic is given by:
In this case, a = -1, b = 1280, and c = -3300.
Then the point at which the maximum profit occurs is at:
And the maximum profit will be:
Answer:
V'(t) =
If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.
Step-by-step explanation:
Given:
V = , where 0≤t≤40.
Here we have to find the derivative with respect to "t"
We have to use the chain rule to find the derivative.
V'(t) =
V'(t) =
When we simplify the above, we get
V'(t) =
If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.
