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roperbailey
24.03.2021 •
Mathematics
I need help with this alphabet addition
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Ответ:
Step-by-step explanation:
Spring = 8
Is = 10
Here = 24
Ответ:
1. 2 + 2 + 2 + 8 + 2 + 2 = 18
2. 8 + 2 = 10
3. 2 + 11 + 2 + 11 = 26
4. 3 + 2+ 2+2 +2+2+ 11 + 11 +5+5+2+2+2= 51
Ответ:
Dimensions of the container should be 12×12×7.5 ft to minimize the making cost.
Step-by-step explanation:
A trash company is designing an open top, rectangular container having volume = 1080 ft³
Let the length of container = x ft , width of the container = y ft and height of the container = z ft.
So volume of the rectangular container = xyz = 1080 ft³
Or
ft -----(1)
Cost of making the bottom of the container = $5 per square ft
Area of the bottom = xy
Cost of making the bottom @ $5 per square ft = 5xy
Area of all sides of the container = 2(xz + yz) = 2z(x+ y)
Now it has been given that cost of making all sides of the container is = $4 per square ft
So total cost to manufacture sides = 4[2z(x + y)]
Now cost of making bottom and sides of the container = 5xy + 8z(x + y)
We put the value of z from equation 1
Total cost A = 5xy+8(x + y)![(\frac{1080}{xy})](/tpl/images/0078/8336/72202.png)
A = 5xy +![8(\frac{1080}{y})+8(\frac{1080}{x})](/tpl/images/0078/8336/b155a.png)
Now we will find the derivative of A and equate it to the zero
5y =![\frac{8\times1080}{y^{2} }](/tpl/images/0078/8336/66a20.png)
5y³ = 8640
y³ =![\frac{8640}{5}=1728](/tpl/images/0078/8336/dd699.png)
y = 12 ft
For![\frac{dA}{dy}=0](/tpl/images/0078/8336/60fd7.png)
5x =![\frac{8(1080)}{x^{2} }](/tpl/images/0078/8336/fa939.png)
5x³ = 8640
x³ = 1728
x = 12
Now from equation 1
z =![\frac{1080}{x}](/tpl/images/0078/8336/8dd34.png)
=![\frac{1080}{144}](/tpl/images/0078/8336/01d32.png)
z = 7.5
Therefore, dimensions of the container should be 12×12×7.5 ft to minimize the making cost.