Question

А+Б=50. При каких значениях а и б, а б будет наибольшим

Answer 1

Ответ:а = 50 - в

а * в = в * ( 50 - в ) = 50в - в^2

Найдём максимум функции через производную ( 50в - в^2 )' = 50 - 2в

50 - 2в = 0

2в = 50

в = 25

а = 50 - в = 50 - 25 = 25

 

При а = 25 и в = 25 произведение будет максимальным

Answer 2

Ответ:

А+Б=50

А=25

Б=25

Пошаговое объяснение:

В таком случае а и б будут в наибольшем числе

Answer 3

To find the values of A and B that maximize the product AB given the constraint A + B = 50, we can use some mathematical techniques.

Let's express B in terms of A using the constraint A + B = 50: B = 50 - A

Now, we want to maximize the product AB, which is equivalent to maximizing the function f(A) = A * (50 - A).

To find the maximum, we can take the derivative of f(A) with respect to A and set it to zero, then solve for A:

f(A) = A * (50 - A) f'(A) = 50 - 2A

Setting f'(A) = 0 and solving for A: 50 - 2A = 0 2A = 50 A = 25

Now that we have the value of A, we can find the corresponding value of B using the constraint:

B = 50 - A B = 50 - 25 B = 25

So, the values of A and B that maximize the product AB while satisfying the constraint A + B = 50 are A = 25 and B = 25.