00:01
So if we want to find out if we can create a profit of 1500, we'll first have to create our profit function.
00:08
So remember, to get profit, what we do, is profit is going to be equal to the revenue, how much money we bring in minus our cost.
00:18
So what we do is we'd set 1500 equal to this.
00:22
So over here, we'd have our revenue function, so 95x minus 0 .5x squared, minus our cost function.
00:31
X plus 300 and then we can just try to solve this equation here so let's go ahead and distribute that negative and combine so we get 15 ,000 is equal to so 95x minus 55 is going to be 40x and then minus 0 .5x squared and then minus 300.
01:05
At this, you might notice this is really just a quadratic equation.
01:09
So we can move everything over to one side.
01:12
So i'm going to move everything over to the right.
01:14
So if we subtract 1500 from both sides, then we will get this new equation.
01:29
And so that is going to be zero is able to.
01:33
I'm going to write this in descending order.
01:34
So it would be negative 0 .5 x squared plus 4 .4 .4.
01:39
X and then this would be minus 15 ,300.
01:48
So at this point, we could use the quadratic equation to solve...