Find two positive numbers whose sum is 300 and whose product is a maximum

How do i present this maximum condition?

Answer 1

[Mathieu NOE]

hello

simply write the mathematical equations given in the task description and solve it like this :

% equations are 
% 1/  a + b = 300
% 2/   maximise P = a*b

a = 1:300;
b = 300-a;
P = a.*b; % can be rewritten as P = a.*(300-a) which is the equation of a parabola (as can be seen on the plot)
[Pmax,ind] = max(P); % find max value of P and corresponding value for a and b
a_max = a(ind);
b_max = 300-a_max;


plot(a,P)

[Vansh]

Thanks

[Mathieu NOE]

my pleasure !

would you accept my answer ?

all the best