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.
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The forces underlying supply and demand interact to determine the market price.
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Explanation:</u></h3>
The persons involving in the activities of trading comprises the market system. It includes sellers, buyers and others involved in trading process. They also includes the buyers, consumers, producers who are the major players of the market system who determines the economic activity in it.
The supply and demand law is the major determinant of the production of goods and services in a market economy. The natural resources, land, capital and labor are the supplies. The purchasing power of the government, consumers and business are the demands. The forces underlying supply and demand interact to determine the market price.
Answer:
A cottage industry is a small-scale, decentralized manufacturing business often operated out of a home rather than a purpose-built facility. Cottage industries are defined by the amount of investment required to start, as well as the number of people employed.
