Answer:
For maximum volume the dimension should be;
w= 1.5ft , b=3ft and h= 2ft
Step-by-step explanation:
The surface area of the rectangular box
S = 2wb + 2wh + 2bh = 27ft^2 ......1
Given that b = 2w
Substituting into eqn 1
2w(2w) + 2wh + 2h(2w) = 27
4w^2 + 2wh + 4hw = 27
h(6w) = 27 - 4w^2
h = (27 - 4w^2)/6w .......2
The volume of a rectangular box is given as
V=w×b×h
V= w×2w×h = 2hw^2 ....3
Substituting eqn2 into eqn3
V=2w^2(27-4w^2)/6w
V = w(27-4w^2)/3 = (27w-4w^3)/3
To find the maximum point, we need to differentiate the eqn above.
At maximum dV/dw = 0
dV/dw = (27 - 12w^2)/3 = 0
12w^2 = 27
w^2 = 9/4
w = 3/2ft = 1.5ft
b = 2w = 6/2 = 3ft
h = (27 - 4w^2)/6w
h = (27 - 4(3/2)^2)/6(3/2)
h = ( 27 - 9)/6 = 18/9
h = 2ft
Answer:
is there free point. if is plz it shows nothing
How many grams are in one serving? Ok so this is all the information your getting in the question I have a tip if your teacher lets you do this out a "?" By the question and say I don't know sorry I don't know this
I would do 120 - 45. Now that she has 75 left I would do 75 - 15 * 3 Since 45 Is all that she has left.
If I were you choose a variable I would say h for hours. And h is equal to 3.
In result the whole equation would be 120 - 45 - 15 * h but since h is equal to 3 , We can write it as 120 - 45 - 15 * 3. Leaving Audrey with $30 left.
Correct me if I am wrong :)
Answer:
X=56 Y=56
Step-by-step explanation: