The Lagrangian is

with critical points where the partial derivatives vanish.



Substitute
into the last equation and solve for
:

Then we get two critical points,

We get an absolute maximum of
at the second point, and an absolute minimum of
at the first point.
Answer:
(w+4) (w-4)
Step-by-step explanation:
Each room has 2 walls that are 4x10 = 40 square feet and 2 walls that are 8x10 = 80 square feet. So 80+80+40+40 = 240 square feet of wall will be painted per room.
We use 2 coats of paint so in effect, we double the area. Imagine laying one thin wall on top of the other. The amount of paint area used per room doubles from 240 to 480
There are 4 of these rooms so 4*480 = 1920
The total area we need to paint is 1920 square feet
Divide this over 32 to get 1920/32 = 60
Final Answer: 60
Answer:
ok
Step-by-step explanation: