Answer:
In order to maximize the last equation we can derivate the function in term of x and we got:
And setting this derivate equal to 0 we got:
And solving for x we got:
And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:
Step-by-step explanation:
For this case we have the following function for the profit:
And we can rewrite this expression like this:
In order to maximize the last equation we can derivate the function in term of x and we got:
And setting this derivate equal to 0 we got:
And solving for x we got:
And for this case the value that maximize the profit would be x =95 and the corresponding profit would be: