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Taya2010 [7]
2 years ago
5

If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to

ffee, she can make 2 pounds of toffee an hour. If Leo devotes all his time to making fudge, he can make 4 pounds of fudge an hour, and if he devotes all his time to making toffee, he can make 5 pounds of toffee an hour. According to The Principle of Comparative Advantage, Ana and Leo will be able to produce more overall if:
Mathematics
1 answer:
lara [203]2 years ago
7 0

Answer: If Ana produce more furge and Leo produce more toffee.

Step-by-step explanation:

Comparative advantage: A country or a person has a comparative advantage in producing a commodity if the opportunity cost of producing that commodity is lower in that country as compared to the other country.

Here Ana or Leo will gain comparative advantage only when they are selling the good they are specializing in and they would specialize in that good which would have lower opportunity cost for them.

(a) For Ana who devoted all of her time to making either 3 pounds of fudge or 2 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 2/3 = 0.66

the opportunity cost for making 1 pound of toffee is = 3/2 = 1.5

(b) For Leo who devoted all of her time to making either 4 pounds of fudge or 5 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 5/4 = 1.25

the opportunity cost for making 1 pound of toffee is = 4/5 = 0.8

Above calculations clearly shows that Ana has a comparative advantage in producing furge because opportunity cost of making furge is lower than the Leo, so he devotes most of his time to produce furge.

Whereas Leo has a comparative advantage in producing Toffee because opportunity cost of making toffee is lower than the Ana, so he devotes most of his time to produce toffee.

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weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probabi
kenny6666 [7]

Answer:

0.34134

Step-by-step explanation:

In other to solve for this question, we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

7 0
2 years ago
An aquarium with a square base has no top. There is a metal frame. Glass costs 5 dollars/m2 and the frame costs 2 dollars/m. The
adell [148]

Answer:

C = 420/h + 400

Step-by-step explanation:

Let s be the side of the square base.

Let h be the height

Volume = s*h

20 = s*h

s = 20/h

Cost of glass is

5(20/h) + 5(4* h*20/h)

= 100/h + 400

Cost of frame is

2*4(20/h) + 2*4(20/h)

= 160/h + 160/h

= 320/h

Total cost = C

C = cost of glass + cost of frame

C = 100/h + 400 + 320/h

C = 420/h + 400

3 0
2 years ago
Consider the table representing a rational function. Which equation could represent a vertical asymptote of the graph of the fun
AleksAgata [21]

Answer:

<h2>x = -1</h2>

Step-by-step explanation:

According to the given table, we see that for <em>x = -1</em>, the function is not defined, that means that the rational function has a restriction there, and such restriction is shown as an asymptote in the graph of the function.

So, basically, we could say that the given rational function has one asymptote and it's at x = -1, which is a vertical asymptote, because all forms like x = k, are vertical lines, that is, they are parallel to the vertical axis.

Therefore, the right answer is the third choice.

7 0
2 years ago
Read 2 more answers
What is the area of this tile 4in 1in
nikitadnepr [17]

Answer:

4 in

Step-by-step explanation:

bc

area is inside you have to multiply

4 times 1 is 4

4 0
2 years ago
Consider the function f(x) = x3 − 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x).
m_a_m_a [10]
<h2>Part 1.</h2>

Answer: \boxed{f'(x)=3x^2-8x}

The limit of the difference quotient is simply the derivative, so we can express this as follows:

f'(x)=\underset{\Delta x\rightarrow0}{lim}\frac{\triangle y}{\Delta x}=\frac{f(x+\Delta x)-f(x)}{\Delta x}

So our function is:

f(x)=x^3-4x^2+2

Taking the derivative, we have:

f'(x)=3x^2-8x

So the correct option is:

\boxed{f'(x)=3x^2-8x}

<h2>Part 2.</h2>

Answer: \boxed{y=3x-16}

The equation of the line that passes through the same point can be found as:

y-y_{0}=m(x-x_{0})

Where x_{0}=3, so we need to find y_{0}. Plug in that x-value in the function we have:

y_{0}=f(3)=(3)^3-4(3)^2+2 \\ \\ y_{0}=-7 \\ \\ \\ So \ the \ point \ is: \\ \\ P(x_{0},y_{0})=(3,-7)

And the slope is:

m=f'(3)=3(3)^2-8(3) \\ \\ m=3

Then, the equation of the line is:

y-(-7)=3(x-3) \\ \\ \therefore y+7=3x-9 \\ \\ \boxed{y=3x-16}

<h2 /><h2>Part 3.</h2>

Answer: Shown below

As you can see below, the graph of the function of f is continuous. This is so because we have plotted a polynomial function whose domain is the set of all real numbers. So the function is defined at the point P(3,-7), so the derivative exists at this point, hence we can calculate a tangent line there. In conclusion, we get the graph shown below. The blue line is the tangent line while the red curve is the graph of f

3 0
2 years ago
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