The first thing we are going to do for this case is define variables.
We have then:
y = the cost of the box
x = one side of the square base
z = height of the box
The volume of the building is 14,000 cubic feet:
x ^ 2 * z = 14000
We cleared z:
z = (14000 / x ^ 2)
On the other hand, the cost will be:
floor = 4 (x ^ 2)
roof = 3 (x ^ 2)
for the walls:
1 side = 16 (x * (14000 / x ^ 2)) = 16 (14000 / x)
4 sides = 64 (14000 / x) = 896000 / x
The total cost is:
y = floor + roof + walls
y = 4 (x ^ 2) + 3 (x ^ 2) + 896000 / x
y = 7 (x ^ 2) + 896000 / x
We derive the function:
y '= 14x - 896000 / x ^ 2
We match zero:
0 = 14x - 896000 / x ^ 2
We clear x:
14x = 896000 / x ^ 2
x ^ 3 = 896000/14
x = (896000/14) ^ (1/3)
x = 40
min cost (y) occurs when x = 40 ft
Then,
y = 7 * (40 ^ 2) + 896000/40
y = 33600 $
Then the height
z = 14000/40 ^ 2 = 8.75 ft
The price is:
floor = 4 * (40 ^ 2) = 6400
roof = 3 * (40 ^ 2) = 4800
walls = 16 * 4 * (40 * 8.75) = 22400
Total cost = $ 33600 (as calculated previously)
Answer:
The dimensions for minimum cost are:
40 * 40 * 8.75
I don’t know if you want both but I’m going to give you both.
(0,2) and (4,3)
Answer:
do 1+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=61+1=6
Step-by-step explanation:
Step-by-step explanation:
Im assuming you mean the number of individual cookies which are baked each day, since we all know that a dozen is 12, the answer to this question can be simply derived from multiplication of 156 and 12, so basically you just multiply 12 and 156 and you get your answer,
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