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neonofarm [45]
2 years ago
12

A cylindrical can that has a capacity of 20 m3 will be made. The metal used to build the top costs $10 per square meter while th

e bottom costs $20 per square meter. The material used for the side costs $15 per square meter. What are the dimensions that will minimize the cost?.
Business
1 answer:
Alchen [17]2 years ago
8 0

The dimensions of the cylinder can be used to minimise cost of manufacture.

<h3>How to we find minimised cost?</h3>

Let's ignore the metal's thickness and assume that the material cost to manufacture is precisely proportionate to the surface area of a perfect cylinder.

A=2πr(r+h)

Given that V=1000=r2h and h=1000=r2, we can write

A=2πr(r+1000πr2)

A=2πr2+2000r−1

By setting the derivative to zero, we may determine the value of r that minimises A:

A′=4πr−2000r−2

0=4πr−2000r−2

2000r−2=4πr

2000=4πr3

r=500π−−−√3

r=5.419 + cm

h=1000πr2=10.838 + cm

The can with the smallest surface area has a volume of 1000 cm 3 and measures 5.419+ cm in radius and 10.838+ cm in height. The can has a surface area of 553.58 cm 2. Given a constant volume, the cylinder with diameter equal to height has the least surface area.

Can surface area (cm2) versus. radius (cm), where capacity = 1000cm 3.

Learn more about manufacturing here:

brainly.com/question/17111259

#SPJ4

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alina1380 [7]

Answer:

United Resources Company

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Authorized share capital:

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Explanation:

a) Data and Analysis:

Authorized share capital:

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3,000 shares of treasury stock for $19 per share.

8 0
3 years ago
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Answer:

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a       Insurance expense        $1,200

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        (To record insurance expired)

b       Supplies expense          $6,200

                Supplies                                  $6,200

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Answer:

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Explanation:

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Changing a project or work suddenly or not has an effect on work/production and its efficiency. Changing the product backlog may lead to workers starting the work all over again and which can be stressful, time consuming and affect efficiency of production.

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Julia's is an upscale women's clothing store. prices are based on customers' beliefs about the value of the clothing. the store
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Answer:

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Explanation:

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