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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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a. Deeply held convictions that influence your thinking when you are faced with choices

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The question is not complete, this part could complete the question:

"If Realtors charge a commission of 5 percent of the selling price and all Realtors have opportunity costs of $2,000 for negotiating a sale, will Carlos hire a Realtor? If so, how will total economic surplus be affected?"

The answer is, the total economic surplus increased from $20,000 to $248,000

Explanation:

Firstly it is important to understand what <em>marginal cost, marginal benefit </em>and <em>Asymmetric information </em>is. Marginal cost is the cost added from the spending of one more unit of resource while marginal benefit is considered as the benefit from spending one more unit of resource. Asymmetric information is a situation whereby one part of the transaction possess more information and material facts than other parts.

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