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TombRaider167
04.12.2019 •
Mathematics
You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 800 cm3. the material for the base of the box costs 5 cents/cm2 and the material for the sides of the box costs 7 cents/cm2. find the dimensions for a box that will minimize the cost of the materials used to construct box.
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Ответ:
Step-by-step explanation:
Given
Volume of box is 800 cm^3
Let the dimension of base is
and height of box be h
cost base![c_1=L^2\times 5=5L^2](/tpl/images/0403/2723/aff4f.png)
cost of sides![c_2=(4Lh)\cdot 7](/tpl/images/0403/2723/39e2d.png)
Total Cost![=c_1+c_2](/tpl/images/0403/2723/0f120.png)
differentiate C w.r.t L to get maximum/minimum Value
Ответ:
If I choose 20
20+5x(-4)-3
5x-4 =-20
20 +(-20) - 3
0-3 is -3
and so on