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miss Akunina [59]
3 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]3 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

You might be interested in
Fogerty Company makes two products, titanium Hubs and Sprockets. Data regarding the two products follow:
sveta [45]

Answer:

activitity rate:

\left[\begin{array}{ccccc}$Activity&$Driver&$cost&$Total&$Rate\\$Machine Setups&setups&72,000&400&180\\$Special processing&$machine hours&200,000&5,000&40\\$General factory&$direct labor hours&816,000&24,000&34\\\end{array}\right]

sprocked unit cost: $ 38.95

hub units cost:        $  93.00

Explanation:

We divide teh cost pool over the total of the cost driver.

This give us the activitty rate.

Then we multiply each rate by the use of each product:

And divide by the total units to get the unti manufacturing overhead

\left[\begin{array}{ccc}$Activity&$Hubs&$Sprockets\\$Machine Setups&18,000&54,000\\$Special processing&200,000&0\\$General factory&272,000&54,4000\\$Total&490,000&598,000\\$Units&10,000&40,000\\$Overhead per unit&49&14.95\\\end{array}\right]

Finally we add the cost component:

Sprocked:

materials $ 18 + $ 15 x 0.40 units + $ 14.95 = 38.95

Hubs

materials $ 32 + $ 15 x 0.80 units + $ 49 = 93

7 0
3 years ago
Another bank is also offering favorable terms, so Rahul decides to take a loan of $18,000 from this bank. He signs the loan cont
Snowcat [4.5K]

Answer:

The total amount that Rahul owes the bank at the end of the loan's term is $18,455.61

Explanation:

Hi, in order to find the total amount that Rahul will owe the bank in 3 months, we need to use the following formula (this is for a compounded daily rate).

FutureValue=PresentValue(1+\frac{r}{365} )^{\frac{n*365}{12} }

Where:

r = compounded rate (in our case, 10% compounded daily)

n = time in months of the loan

PresentValue = $18,000

Everything should look like this.

FutureValue=18,000(1+\frac{0.10}{365} )^{\frac{3*365}{12} }

FutureValue=18,000(1+0.000273973 )^{91.25 }=18,455.61

So, the total amount that Rahul owes the bank at the end of the loan's term is $18,455.61

Best of luck

5 0
3 years ago
Samples Corporation would like to use target costing for a new product it is considering introducing. At a selling price of $21
Anvisha [2.4K]

Answer:

$18.60

Explanation:

Target cost:

= Sales revenue - Profit

= (No. of units sold × Selling price per unit) - (Investment require × desired return on investment)

= (20,000 × $21) - ($400,000 × 0.12)

= $420,000 - $48,000

= $372,000

Target cost per unit:

= Target cost ÷ Number of units

= $372,000 ÷ 20,000

= $18.60

Therefore, the target cost per unit is closest to $18.60.

5 0
3 years ago
Taylor needs a natural resources in his venture to make his enterprise possible. Which of the following isn't considered a capit
Rina8888 [55]

<u>Answer:</u>

<em>The factors of production typically include land, labor, capital, entrepreneurship, and the state of technological progress.</em>

<u>Explanation:</u>

In economics, capital typically refers to money. But money is not a factor of production because it is not directly involved in producing a good or service.

Instead, it facilitates the processes used in production by enabling entrepreneurs and company owners to purchase capital goods or land or pay wages. For modern mainstream economists, capital is the primary driver of value.

8 0
2 years ago
a consumer has $100 to spend on two goods X and Y with prices $3 and $5 respectively. drive the equation of the budget line​
kotegsom [21]

Answer:

3X + 5Y = 100

Explanation:

Given that a consumer has $ 100 to spend on two goods X and Y with prices $ 3 and $ 5 respectively, the equation that represents this distribution is the following:

3X + 5Y = 100

Thus, the consumer may consume different combinations of products, as long as the sum of both amounts is $100 as a final result. For instance:

3x20 + 5X8 = 100

60 + 40 = 100

3x5 + 5x17 = 100

15 + 85 = 100

5 0
2 years ago
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