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miss Akunina [59]
4 years ago
5

An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed f

rom the refinery to storage tanks located on the south bank of the river 5 km east of the refinery. The cost of laying pipe is $300,000/km over land to a point P on the north bank and $600,000/km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round your answer to two decimal places.)
Business
1 answer:
Kaylis [27]4 years ago
8 0

Answer:

The point p should be located to 4.42 km far from the refinery

Explanation:

Minimum of these costs occurs when <em>x = 1/\sqrt{3}</em> , so <em>distance </em>should be <em>m</em> km to the east of the refinery.

<em>m = 5 - x </em>

<em>m = 5 - 1/\sqrt{3}</em>

<em />

m = 4.42 km

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In the far off kingdom of Viracien there is a healthy sized population of citizens over 16 years old. The last census indicated
Anarel [89]

Answer:

6.5%

Explanation:

Number of people unemployed = 237,000

Labor force = 5 million - 1.3 million - 50,000

Labor force = 3.65 million

Unemployment rate = Number of people unemployed/Labor force*100

Unemployment rate = 237,000/3.65 million*100

Unemployment rate = 6.4931501%

Unemployment rate = 6.5%

8 0
3 years ago
Morgan sued Rachel over a motor vehicle accident, but they settled the case prior to the trial for $1,000. The lawsuit is now __
Shtirlitz [24]

Answer:

moot

Explanation:

If a case is settled prior to trial for any cash, we say that the lawsuit is now subject to debate, and it is commonly known as moot. In several law schools across the globe, students are taught how to deal with moot. However, it is not very easy to give a ruling concerning moot, this is because there is little or no practical evidence. It is at sometimes referred to as moot court.

7 0
3 years ago
A ______________________ is created each time the federal government spends more than it collects in taxes in a given year.
Vlad [161]

Answer:

Budget deficit / Fiscal deficit

Explanation:

At the start of the year, every government prepares a budget e.g. all sources of revenue (direct taxes, indirect taxes, aids etc) and projected expenses are also mentioned (development of society, defense etc.).

When a government spends more than its revenue from taxes so it means that government is running a budget deficit or a fiscal deficit which are covered through fiscal measures by government e.g. increasing taxes or reducing public spending.

8 0
4 years ago
The following costs related to Summertime Company for a relevant range of up to 20,000 units annually: Variable Costs: Direct ma
il63 [147K]

Answer:

Total cost= $105,000

Explanation:

<u>Because the 15,000 units are in the relevant range, the fixed costs remain constant. Now, we need to calculate the total cost of 15,000 units:</u>

Direct material= 15,000*2.5= 37,500

Direct labor= 15,000*0.75= 11,250

Variable overhead= 15,000*1.25= 18,750

Variable selling and administrative= 15,000*1.5= 22,500

Total variable cost= $90,000

Total fixed costs= $15,000

Total cost= $105,000

4 0
3 years ago
Park Co. is considering an investment that requires immediate payment of $27,000 and provides expected cash inflows of $9,000 an
Reil [10]

Answer:

IRR =   12.92%

Explanation:

<em>The IRR is the discount rate that equates the present value of cash inflows to that of cash outflows. At the IRR, the Net Present Value (NPV) of a project is equal to zero </em>

<em>If the IRR greater than the required rate of return , we accept the project for implementation  </em>

<em>If the IRR is less than that the required rate , we reject the project for implementation  </em>

A project that provides annual cash flows of $24,000 for 9 years costs $110,000 today. Under the IRR decision rule, is this a good project if the required return is 8 percent?

Lets Calculate the IRR

<em>Step 1: Use the given discount rate of 10% and work out the NPV </em>

NPV = 9000× (1-1.10^(-4)/0.1) - 27,000 =1528.78

<em>Step 2 : Use discount rate of 20% and work out the NPV (20% is a trial figure) </em>

NPV = 9000× 1- 1.20^(-4)/0.2 - 27000 = -3701.38

<em>Step 3: calculate IRR </em>

<em>IRR = a% + ( NPVa/(NPVa + NPVb)× (b-a)%</em>

IRR = 10% +  1528.78/(1528.78+3701.38)× (20-10)%= 0.12923

     = 0.129230153  × 100

IRR =   12.92%

3 0
3 years ago
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