Maximize B=5xy^2, where x and y are positive numbers such that x=y^2=6.

The maximum value of B is _?

The maximum value of B is 45

Corrected question;

Maximize B=5xy^2, where x and y are positive numbers such that x+y^2=6.

The maximum value of B is _?

Step-by-step explanation:

Given that;

B = 5xy^2 1

And;

x + y^2 = 6

y^2 = 6 - x 2

Substituting equation 2 to 1

B = 5x(6-x) = 30x - 5x^2

Maximizing B, at maximum point dB/dx = 0

dB/dx = 30 -10x = 0

30 = 10x

x = 30/10 = 3

x = 3

From equation 2;

y^2 = 6 - x = 6-3 = 3

y = √3

Maximum value of B is;

B = 5xy^2 = 5 × 3 × (√3)^2 = 45

B = 45

The maximum value of B is 45

Step-by-step explanation:

The numbers are:

and

Finally, the value of B is:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.