00:01
Now, in this problem, we are given the revenue function, r of x, this is equals to 389x minus 0 .7x squared.
00:14
Now we need to find the maximum revenue.
00:17
Okay.
00:19
Now, to find the maximum revenue for the given function, we need to determine the vertex of the parabola formed by the function.
00:29
And the vertex represents the point of the maximum revenue.
00:34
Now, if you compare this equation with the standard form of a quadratic equation, which is r of x equals to ax squared plus bx plus c.
00:48
Here we have the value of a to be negative 0 .7 and b to be equals to 389 and c value we have zero.
01:01
Now, the x coordinate of the vertex can be found by using the formula x equals to minus b over 2a.
01:11
So minus b is 389 divided by 2 times 0 .7 and this a is negative.
01:20
So negative sign is there...