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Harlamova29_29 [7]
2 years ago
6

Minimizing Costs For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders.

Find the radius and height of a container if it has a capacity of 28 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.)
Business
2 answers:
netineya [11]2 years ago
6 0

Answer:

h = 28/πr² or 28/(π((14/π)^⅔))

r = (14/π)^⅓

Explanation:

Given

Let r = radius, h = height of the cylinder

Volume, V =28in³

V = πr²h ----- volume of a cylinder

πr²h = 28 --- make h the subject of formula

h = 28/πr²

Area of the the cylinder is;

A = 2πr² + 2πrh

Substitute 28/πr² for h to get area in terms of radius

A = 2πr² + 2πr(28/πr²)

A = 2πr² + 56/r

Differentiate A with respect to r

dA/dr = 4πr - 56/r²

Set dA/dr to 0 (.....using the least amount of metal)

4πr - 56/r² = 0

(4πr³ - 56)/r² = 0 --- Multiply through by r²

4πr³ - 56 = 0

4πr³ = 56 --- make r the subject of formula

r³ =56/4π

r³ = 14/π

r = (14/π)^⅓

h = 28/πr²

h = 28/(π((14/π)^⅔))

Murljashka [212]2 years ago
5 0

Answer:

The height is h= 28/∏r∧2, The radius = (14/∏)1/3

Explanation:

Using the formula for the volume of a cylinder

V = ∏r∧2 where r = radius and h = height

Area of cylinder is

A = 2∏r h + 2∏r∧2 where r = radius and h = height

The volume of cylinder is 28 in .3

Substitute the value into the formula, we have

∏r∧2h = 28

h = 28/∏r∧2

To calculate the Area of the cylinder, we substitute the value of h into the formula of Area of cylinder, we have

A = 2∏r (28/∏r∧2) + 2∏r∧2

= 56/r + 2∏r∧2

Therefore the Area of a cylinder is

A = 56/r + 2∏r∧2

To minimize the cost, we use the value for Area of cylinder

A = 56/r + 2∏r∧2

Differentiate with respect to r

A = d/ dr (56/r +2∏r∧2)

= -56/r ∧2 + 4∏r

Then limit to 0 to calculate the radius

-56/r ∧2 + 4∏r = 0

-56 + 4 ∏r∧3 / r ∧2 =0

-56 + 4∏r∧3 = 0

4∏r∧3 = 56

Divide both sides by 4∏

r∧3 = 56/4∏

r = (14/∏)1/3

Therefore the radius is (14/∏)1/3

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vladimir1956 [14]

Answer:

So why does a company hire a person?

Explanation:

It isn’t to have more people around. The goal of any company isn’t to rack up its number of employees. In fact, the goal of most companies is generally the exact opposite to that, to have the fewest employees possible it needs to be successful.

Less and less do companies hire because they need a very specific task done. In the days of old, companies would hire someone to do the same task over and over again, like hammering the same nail to connect the same two parts all day long. Most of those jobs now are automated, as employers have found cheaper and often more productive alternatives to humans for that work.

No, to understand why employers hire, instead of just using a piece of software or a robot, one first has to understand the unique value proposition a human has. What is it? Well, really it has everything to do with our brain, and our unique ability to conjure up creative solutions to complex problems.

An employer hires a person because their unique value proposition, i.e. generally their ability to think, fixes a business problem they face and there are no other cheaper or more effective alternatives.

For example, a company hires a marketer because they face a business problem: a lack of customers. The marketer’s job is to increase the amount of customers anyway they can, whether it be through email marketing, social media, publicity stunts, etc. The marketer’s job is to constantly solve a problem – in this case getting more customers – that cannot be solved by a machine.

Because most of the jobs that require minimal thought have become or soon will become automated, the jobs that are left require someone who is creative, can learn quickly and is always willing to adapt to new problems thrown their way. So the question therein lies for the employer: how do you figure out who those people are?

The answer is not to look at a pile of resumes and select the two or three best to bring in for an interview. The answer is to screen all candidates through an interview, perhaps best done using a program like VoiceGlance, and ask them challenging questions that reveal those candidates’ line-of-thinking. With that information, companies can discover the employees they really want – the problem solvers – who will lead them to success.

3 0
3 years ago
Read 2 more answers
During the current year, Tachnic, Inc., made cash sales of $289,000 and credit sales of $472,000. During the year, accounts rece
guajiro [1.7K]

Answer:

(a1) $761,000

(a2) $504,000

(a3) $793,000

Explanation:

(a-1) Amount of net sales reported as revenue in the income statement:

= Cash sales + Credit sales

= $289,000 + $472,000

= $761,000

(a-2) Amount of cash received from collecting accounts receivable:

= Credit sales + Decrease in accounts receivable

= $472,000 + $32,000

= $504,000

(a-3) Amount of cash received from customers:

= Cash sales + Amount of cash received from collecting accounts receivable

= $289,000 +  $504,000

= $793,000

6 0
2 years ago
Under the allowance method of accounting for uncollectible accounts, a. the cash realizable value of accounts receivable is grea
pentagon [3]

Answer:

c. the cash realizable value of accounts receivable in the balance sheet is the same before and after an account is written off.

Explanation:

Under the allowance method of accounting for uncollectible accounts, the cash realizable value of accounts receivable in the balance sheet is the same before and after an account is written off and bad debt expenses is debited.

This means that in the period in which an account previously written off is collected, the income is unaffected.

Also, under the allowance method of accounting, total assets will remain unchanged when a particular account is being written off.

8 0
3 years ago
'Partnership business can't be successful without mutual understanding'.justify this statement.​
Colt1911 [192]

Answer: See explanation

Explanation:

A partnership is a form of business operations that takes place between two or more people who come together, join their skills and resources together so as to achieve organizational aims, and make profit.

For a partnership to succeed, there must be a mutual understanding between the partners that are involved. The mission and the visions of the organization must be shared by all the partners and understood.

When the partners don't have an agreement in place and a clear understanding about how the partnership will be handled and decisions will be made, this will eventually being about the downfall of the partnership.

3 0
2 years ago
You are considering taking one of the two available projects. Project A has an initial cost of $125,000 and cash inflows of $80,
Ghella [55]

Answer:

IRR for project A = 18.16%

IRR for project B = 19.91%

Explanation:

The internal rate of return is the discount rate that equates the after tax cash flows from an investment to the amount invested.

IRR can be calculated using a financial calculator:

For project A,

Cash flow in year 0 = $-125,000 

Cash flow in year 1 and 2 =  $80,000

IRR = 18.16%

For project B,

Cash flow in year 0 =$-130,000

Cash flow in year 1 and 2 =  $85,000

IRR = 19.91%

To find the IRR using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.

I hope my answer helps you

4 0
2 years ago
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