Select the correct answer. What does a production possibilities curve represent? D A a combination of price and demand of goods
1 answer:
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Answer:
- <em>The slope of the demand curve at point A is </em><u><em> </em></u><u>- $0.40/unit</u>
- <em>The slope of the demand curve at point B is </em><u>- $0.14/unit</u>
Explanation:
See the file attached with the figure corresponding to this question.
<em>The slope of a curve</em> at a given point is the slope of the line tangent to the curve at that point.
<em><u>Point A:</u></em>
The tangent line to the <em>demand curve at point A is</em> drawn and passes through the points (20, 34) and (45, 24).Then, the slope is:
- slope = rise / run = ΔP / Δq = $ (34 - 24) / (20 - 45) units
- slope = - $10 /25units = - $2/5units = - $0.40/unit.
The minus sign indicates the that price decreases when the quantity increases
<u><em>Point B:</em></u>
<em>The tangent line to the demand curve at point B</em> passes through the points (90, 12) and (140, 5).Then, the slope is:
- slope = rise / run = ΔP / Δq = $ (12 - 5) / (90 - 140) units
- slope = - $7 /50units = - $7/50units = - $0.14/unit.
Again, the negative sign indicates that when the number of units increase the price decreases.
Answer:
Maximum Ares architect can build is 36,450
Explanation:
Suppose
The Perpendicular of the triangle = l
The Base of the triangle = b
The hypotenuse of the triangle = h
The hypotenuse of the triangle can be calculated as follow
h =
Total Budget = $1,620
As the architect does not want to build anything on the hypotenuse of the triangle area.
So as per given condition
( $9 x l ) + ( $3 x b ) = $1,620
$3 ( 3l + b ) = $1,620
3l + b = $1,620 / $3
3l + b = 540
b = 540 - 3l ...........(1)
Area = 1/2 x l x b
using (1) we will have
Area = 1/2 x l x ($540 - 3l)
Now differentiating w.r.t l
=
0 =
0 = 540 - 6l
6l = 540
l = 540/6
l = 90 ft
Placing value of l in (1)
b = 540 - 3(90)
b = 540 - 270
b = 270
So, Maximum area will be calculated as follow
Maximum Ares = x 270 x 270
Maximum Ares = 36,450