00:01
The profit function for a firm is given as negative 5 ,400 plus 210x minus x squared, 5 ,400.
00:13
And limitations on space require production is to be less than 100 units.
00:17
That means x has to be less than 100.
00:20
Find your break -even points.
00:22
Well, break -even point is when the profit equals 0.
00:25
So that's what we need to find out.
00:27
When is this going to equal to 0? okay, so what i would do is write this in descending order minus 5 ,400, and because the numbers are so large, i'm just going to use the quadratic formula.
00:48
So we have negative 210 plus or minus square root of 210 squared minus 4a, c, all that over 2a.
01:01
So i have negative 210 and negative 2 plus or minus.
01:05
Now i'm going to go to my calculator and see what this is.
01:08
So we have 210 squared, and then we're going to have 4 times 5 ,400.
01:17
So it's going to be 65 ,700.
01:21
Let me square root that...