00:01
For this problem, we're told about a deli that makes x amount of lunches per day, and we're told that the cost to make x amounts of lunches is y equals 2 .03x plus 137 .28, and the revenue they make from the lunches they make is y equals 4 .67x, and we want to know where their break -even point occurs.
00:19
So their break -even point would be when the cost and revenue are equal.
00:23
So we can do a pretty quick substitution, because if both ys have to equal these expressions, that means the break -even point would occur when the x values make these two expressions even.
00:35
So 2 .03x plus 137 .28 equal to 4 .67x.
00:43
And i'll start solving this by getting all of our x values on the right side, so i'll subtract 2 .03x from both sides.
00:52
And that gives us 137 .28 equal to 2 .64x.
00:58
And when i divide by 2 .64, our result here is going to be the number of lunches to reach that break -even point, and that gives us an x value of 52...