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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Answer: Her income elasticity of demand for cottage cheese is <em><u>0.3333</u></em> making it a <em><u>normal and necessary</u></em> good.
The income elasticity of demand is given by :
The percentage change in income is given as 60%. We calculate the percentage change in quantity demanded as follows:
Substituting the value above in the income elasticity demand formula we get,
<u>YED = 0.33333</u>
Since the income elasticity is positive, and since Shawna buys more cottage cheese after an increase in income, we can classify this good as a normal good.
Since the income elasticity is between 0 and 1 we can also conclude that cottage cheese is also a essential good or a necessity.
Answer:
They will decrease as production decreases
Explanation:
Total Variable cost is sum of all the cost incurred in production of total units of goods produced. It is directly proportional to the number of units of goods produced. It helps to analyze cost structure of goods and then decide on pricing strategy of the goods. Some of the examples of variable cost can be packaging cost, raw material’s cost.
Mathematically it can be defined as
Total variable cost = Total units of goods produced * variable cost for one unit of good produced
Hence from the given option They will decrease as production decreases as the number of units of goods produced will decrease and hence lesser raw material and packaging will be required to produce the goods.
<u>Answer:</u>
Option d is the correct answer, i.e; payment_date IS NOT NULL AND invoice_total >= 500
<u>Explanation:</u>
When coded in a WHERE clause, which search condition will return invoices when payment date isn’t null and invoice total is greater than or equal to $500 then payment_date IS NOT NULL AND invoice_total >= 500 and the remaining options are wrong.
Therefore, the Option with, i.e; payment_date IS NOT NULL AND invoice_total >= 500 is the correct answer.
