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neonofarm [45]
1 year 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]1 year 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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Two roadway designs are under consideration for access to a permanent suspension bridge. Design 1A will cost $1.7 million to bui
Vladimir79 [104]

Answer and Explanation:

A. Given that Design 1A will cost $1.7 million to build and $175,000 per year to maintain

Given that Design 1B will cost $3.6 million to build and $40,000 per year to maintain

Both designs are assumed to be permanent

To find ROR using AW based rate of return equation, we find present value of each design and equate them:

Each design is permanent so

Present value of perpetuity:

Design 1A= 1700000+175000/r

Design 1B = 3600000+40000/r

=1700000+175000/r=3600000+40000/r

135000/r=1900000

Cross multiply

r=135000/1900000

r= 0.0710

r=7.10%

B Given that ROR=7.10% and MARR is 25%

MARR>ROR

Hence we reject both designs

5 0
3 years ago
Watauga Company purchased equipment on July 1, 2017 for $70,000. Sales tax on the purchase was $700. Other costs incurred were f
andriy [413]

Answer:

$72,700

Explanation:

Data provided in the question:

Purchasing cost = $70,000

Sales tax = $700

Freight charges = $800

Shipping charges = $150

Repair charges = $1,300

Installation cost = $1,050

Now,

Cost of the equipment  

= Purchasing cost + Sales tax + Freight charges + Shipping charges + Installation cost

= $70,000 + $700 + $800 + $150 + $1,050

= $72,700

Note: Repair cost is not included in the cost.

5 0
4 years ago
The production possibilities frontier provides an illustration of the principle that a. people respond to incentives. b. trade c
Mekhanik [1.2K]

Answer:

d. people face trade-offs.

Explanation:

The production possibility frontier shows all the combinations of two goods an economy can produce when all its resocurces are fully employed.

At one extreme of the curve, the highest possible amount of one good is produced while zero quantity of the second good is produced . To produce more quantity of the second good, one has to produce less quantity of the first good. This illustrates trade off.

I hope my answer helps you

7 0
3 years ago
Nick and Beth run a catering business in which they have two major tasks: getting new clients and preparing food for events and
Burka [1]

Answer:

NICK

NICK

2

Explanation:

A company has absolute advantage in the production of a good or service if it produces more quantity of a good when compared to other countries

Nick prepares food in 8 hours while Beth produces the food in 12 hours. ick thus has an absolute advantage in food preparation because he produces food in less time

A country has comparative advantage in production if it produces at a lower opportunity cost when compared to other countries.

Opportunity cost of Nick in food preparation = 4/8 = 0.5 hours

Opportunity cost of Beth in food preparation = 3 / 12 = 0.25 hours

Nick has a comparative advantage in food preparation

3 0
3 years ago
A treaty that can be signed between two or more countries to lower tariffs and improve the import and export of goods is a free
klio [65]

When a treaty is signed between nations to lower tariffs and improve imports, this is a free trade agreement. This is <u>True</u>.

<h3>What is a free trade agreement?</h3><h3 />

Sometimes nations get together and discuss a treaty that will allow for trade to be easier between them.

To this end they will reduce tariffs, and other barriers to trade. This is to encourage free trade between the nations. This treaty is a free trade treaty.

Find out more on barriers to trade at brainly.com/question/1326741.

3 0
3 years ago
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