00:01
Hi, today we are solving the question in which we are given the cost function as 10x plus 30.
00:09
Revenue function rx is given as minus 5x square plus 150x.
00:17
So, firstly, let us see the profit function that we need to find out.
00:23
So here profit function we know px is given by rx minus cx that is red.
00:30
Revenue function minus cost function.
00:33
Now substituting the values of rx and cx here, so minus 5x square plus 150x minus 10x plus 30.
00:46
So here it will be equal to minus 5x square plus 150x minus 10x minus 30.
00:50
So it will be equal to minus 5x square plus 150x minus 10x minus 30.
00:54
So it will be equal to minus 5x square plus 140.
01:01
X minus 30 so from here we can see that therefore required profit function px is equals to minus 5x square plus 140 x minus 30 now secondly we need to graph the cost revenue and profit function on the same coordinate grid where x lies between 0 and so here the graph will be like this.
01:38
Let us see the graph first...