Function replacement:
L(x)=x(P-C(x))
X= 1600- 16P minus P= 100-x/ 16.
Then simplify, that is, 1 topic;
By the way, explain the definition domain;
L(x) takes the derivative of x and solves the stagnation point of x=0.
Substitute the abscissa xi of each stagnation point into the function to find L(xi).
Then the abscissa x 1, x2 of the function endpoint is also substituted to solve f(x 1), f(x2).
Compare the values of each function,
The maximum function value is the maximum profit,
And the corresponding x is the maximum profit output.