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sladkih [1.3K]
3 years ago
11

Penguin Island produces capital goods and consumption goods. Suppose its economy experiences growth. In this case, growth means

that the production of both goods increases by the same percentage. Show this growth in relation to the production possibilities frontier (PPF) by moving each of the individual points accordingly.
Business
1 answer:
Sophie [7]3 years ago
5 0

Answer:

The answer is in the document

Explanation:

Download docx
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An oil refinery is located on the north bank of a straight river that is 3km wide. A pipeline is to be constructed from the refi
Mariulka [41]

Answer:

$6,598,076.21

Explanation:

<h2>THE KEY IS TO FIND OUT THE COST FUNCTION, the calculations are very easy!!!</h2><h2></h2><h3>In order to find the cost function, take a look at the drawing attached. </h3>

We can see the river (sort of) that is 3 km wide and the storage tanks on the other side of the river 8 km apart.

<h3 />

Laying pipes under (across) the river costs 1,000,000 the km & laying pipes over land costs 500,000 per km.

<h3 /><h3>So basically the cost function is 1,000,000 multiplied by something plus 500,000 multiplied by another something.</h3><h3 />

The distance across the river can be found by using Pythagoras Theorem. A side is 3 km the other is unknown, so we call it X. And it is equal to:

\sqrt{3^{2} +x^{2}}=\\\sqrt{9 +x^{2}}

And we multiply it by 1,000,000; the cost of laying pipe under the river, the we get:

1000000\sqrt{9+x^{2}

The distance over the land is (8-x), as we can see in the drawing. So we multiply it by its cost, 500,000. And we get 500,000(8-x).

So the cost function f(x) would be:

f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)

<h2>From here, we just have to differentiate and the derivative found must be equal to zero in order to minimize cost. </h2><h3>The value of x when the derivative is zero is plugged in the original function to get the cost.</h3><h3 /><h2>LET'S DO THIS</h2>

f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(x)=1000000(9+x^{2})^{1/2}+4000000-500000x\\f'(x)=\frac{1}{2} 1000000(9+x^{2})^{-1/2}(2x)-500000\\\\f'(x)=\frac{1000000x}{\sqrt{9+x^2}}  - 500000

<h2>f'(x)=0</h2>

f'(x)=\frac{1000000x}{\sqrt{9+x^2}}  - 500000=0\\\frac{1000000x}{\sqrt{9+x^2}}  = 500000\\\frac{2x}{\sqrt{9+x^2}}  = 1\\2x={\sqrt{9+x^2}}\\4x^2=9+x^2\\3x^2=9\\x^2=3\\x=\sqrt{3} \\

And we plug square root of 3 in the original cost function  ad we get

f(\sqrt{3} )=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(\sqrt{3})=1000000\sqrt{9+(\sqrt{3} )^{2}} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{9+3} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{12}+500000(6.27)\\f(\sqrt{3})=1000000(3.46)+500000(6.27)\\f(\sqrt{3})=3464101.62+3133974.60\\f(\sqrt{3})=6598076.21\\

<h2>so the minimal cost is $6,598,076.21</h2><h2 /><h3 />

6 0
3 years ago
Exercise 15-14 Presented below are two independent situations. 1. Flinthills Car Rental leased a car to Jayhawk Company for one
IrinaVladis [17]

Answer:

Part 1

Dr Lease rentals $300........ Expense

Cr     Cash Account $300

Part 2

Dr Leased Equipment $63,536

Cr Finance Lease Liability  $63,536

Explanation:

Part 1. Under the operating leases the lessee pays the monthly rentals which must be accounted for as an expense and the double entry is as under:

Dr Lease rentals $300........ Expense

Cr     Cash Account $300

Part 2. Under the finance lease agreement, the lessee pays the value of the asset and the interest as well. So after the date of agreement when the asset is handed over the journal entry would be recording of the equipment received, which would written at its fair value or present value of the payments made. The journal entry would be:

Dr Leased Equipment $63,536

Cr Finance Lease Liability  $63,536

8 0
3 years ago
Which of the following should not be recorded in income and expenditure account?
kirill [66]

Answer:

C. honorarium paid to the secretary

Explanation:

6 0
3 years ago
Jan wants to plan for her daughter’s education. Her daughter, Rachel was born today and will go to college at age 18 for five ye
melisa1 [442]

Answer:

c

Explanation:

ur multiplication is involved

8 0
3 years ago
The regulations restaurants must follow concerning restrooms
Hoochie [10]
Restaurants of any size are regulated by a variety of local, state and federal laws dealing with health and safety for customers and employees. A critical component of restaurant design is providing restrooms for customers and employees, and for both men and women in each category. This includes the physical facilities and signage, as well as provision for handicapped or wheelchair access. In most areas, a local health department is the key agency monitoring all regulations related to restaurant restrooms, and it should be consulted during the design phase. An inspection, including restrooms, normally is required before a restaurant can open.
3 0
3 years ago
Read 2 more answers
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