How do you take a pic of the problem you need help on

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

Alchen [17]

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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8 0

1 year ago

An entrepreneur recently purchased Cocoon's, a local deli, on the beach. To operate the business, she estimates that selling and

crimeas [40]

Answer:

27%

Explanation:

The computation of the net profit margin is shown below;

As we know that

net profit margin = Net profit ÷ sales

where

net profit is

<u>Particulars Amount </u>

Sales (200 customers × $12 × 350 days) $840,000

Less: cost of goods sold (200 customers × $4.50 × 350 days) -$315,000

Gross profit $525,000

Less:

Selling and admin expense -$98,510

Depreciation expense - $20,000

Bank loan interest -$76,265

Net income before tax $330,225

Less tax at 32% -$105,672

Net income after tax $224,553

Now the net profit margin is

= $224,553 ÷ $840,000

= 27%

6 0

2 years ago

The sources of economic growth are _______. A. work hours growth and labor productivity growth B. democracy and labor productiv

Luden [163]

Answer:

A. work hours growth and labor productivity growth

Explanation:

An economy is a function of how money, means of production and resources (raw materials) are carefully used to facilitate the demands and supply of goods and services to meet the unending needs or requirements of the consumers.

Hence, a region's or country's economy is largely dependent on how resources are being allocated and utilized, how many goods and services are to be produced, what should be produced, for whom they are to be produced for and how much money are to be spent by the consumers to acquire these goods and services.

Basically, there are four (4) main types of economy and these are;

I. Mixed economy.

II. Free market economy.

III. Traditional economy.

IV. Command economy.

Generally, the sources of economic growth of a country are work hours growth and labor productivity growth.

Labor (working) is simply the human capital or workers who are saddled with the responsibility of overseeing and managing all the aspects of production.

7 0

3 years ago

Currently the price of Titanic stock is $20 a share. You have $40,000 of your own funds to invest. Using the initial margin of 5

PtichkaEL [24]

Answer:

The percentage profit if you purchase the stock and it rises to $30 a share

= $166.67

Explanation:

Titanic stock is $20 a share. You have $40,000 of your own funds to invest.

∴ $4,000.00/$20 = 200.00 shares were bought with $4,000.00

With margin of 50 percent and maintenance margin of 30 percent,

50% + 20% = 80%

∴ New Cost of Stock ($30.00) ÷ $4,000.00)

= $133.33 X 0.80

= $166.67

6 0

3 years ago

First Class, Inc., expects to sell 29,000 pool cues for $13 each. Direct materials costs are $3, direct manufacturing labor is $

eduard

Answer:

Direct material= $91,800

Direct labor= $153,000

Manufacturing overhead= $25,398

Explanation:

Giving the following information:

Sales= 29,000 pool cues

Direct materials costs are $3

direct manufacturing labor is $5

manufacturing overhead is $0.83 per pool cue

Beginning inventory Direct materials= 24,000 units

Ending inventory Direct materials= 24,000 units

Finished goods inventory Beginning= 1,200 units

Finished goods inventory Ending= 2,800 units

First, we need to determine the number of units to be produced:

Production= sales + desired ending inventory - beginning inventory

Production= 29,000 + 2,800 - 1,200

Production= 30,600 units

Direct material= 30,600*3= $91,800

Direct labor= 30,600*5=$153,000

Manufacturing overhead= 30,600*0.83= $25,398

4 0

3 years ago