00:01
Hi, in this question given that the cost function c of x equals 35x plus 300 and also given that r of x equals 75x minus 0 .5 x squared.
00:15
In part 1 we need to find the profit function that is p of x which is found by using the formula r of x minus c of x.
00:24
On substituting both the function in this formula, then we get 75x minus 0 .5x squared minus 35x minus 300.
00:37
On further simplification, which is equal to minus 0 .5x squared plus 40x minus 300.
00:47
In part 2, we need to find the x value when profit function, that is p of x equals 300.
00:56
On substituting p of x equals 300, then we get minus 0 .5 x squared plus 40x minus 300 equals 300.
01:10
On further simplification, which implies minus 0 .5x square plus 40x minus 600 equals 0 .00.
01:20
Multiply by 10, then we get minus 5x squared plus 400 x squared plus 400 x...