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jok3333 [9.3K]
2 years ago
15

The Cobb-Douglas production model is a function that relates production outputs with a combination of different inputs. Agricult

ural data from 44 countries around the world, concerning agricultural production Q, labor L, capital K, fertilizer F, and hectares of arable land H, can be used to create an agricultural production model for countries using a Cobb-Douglas function given by
Q= 3.41 L^0.266 .K^2.06 F^0.299.H^1.41

The exponents in the Cobb-Douglas model are called elasticities. Find the percentage increment in production if a country has a 1% increase in Labor.
Mathematics
1 answer:
ANTONII [103]2 years ago
3 0

Answer:

0.266 percent

Step-by-step explanation:

With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.

Level of production = ∆Q/Q

We differentiate the function Q with respect to Labour, L.

∆Q/∆L = 0.266Q/L

∆Q/Q = 0.266∆L/L

∆L/L = 1

∆Q/Q x 100 = 1 *0.266

= 0.266%

Please refer to the attachment

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We can check this answer by plugging in 780 for x in the original equation:

9.75 = 1/80(780)

9.75 = 9.75

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3 years ago
Which numbers will round to 19 when they are rounded to the nearest whole number?
Nonamiya [84]

Answer:

18.82 , 19.33 , 19.46

Hope this helps :)

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What is the value of (4xy)^0
VMariaS [17]
Its1.  every number/variable that has a power to the zero, its goin to turn out to be just one
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How to find 4x=14y and if it is parallel, perpendicular or neither to -2x+7y=14
RUDIKE [14]
4x = 14y
y = 4/14(x)
y = 2/7(x) slope = 2/7

<span>-2x+7y=14
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answer
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3 years ago
I'm genuinely lost in any problems like this and my teachers are no help, I need help doing exponents in general, everything to
Stolb23 [73]

Answer:

See below.

Step-by-step explanation:

4)

So we have the expression:

(-6n^{-3})^2

We can use the power of a product property, where:

(ab)^n=a^n\cdot b^n

So:

=(-6)^2\cdot(n^{-3})^2

For the left, -6 squared is the same as -6 times -6. This equals positive 36.

For the right, we can use the power of a power property. The property says that:

(a^n)^k=a^{nk}

So:

(n^{-3})^2=n^{(-3)(2)}\\=n^{-6}

So, all together, we have:

=(-6)^2\cdot(n^{-3})^2\\=36n^{-6}

6)

We have the expression:

-\frac{3x^0}{x^4}

First, note that anything to the zeroth power (except for 0) is 1, thus, x^0 is also 1. Simplify:

=-\frac{3}{x^4}

And that's the simplest we can do :)

Notes for 6)

We <em>can</em> put the x^4 to the numerator. Recall that when you put an exponent to opposite side, you put a negative. In other words:

x^n=\frac{1}{x^{-n}}

And vice versa:

\frac{1}{x^{-n}}=x^n

So, we can write the above as:

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However, traditionally, we want only positive exponents, so this wouldn't be correct.

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