The monopoly price will be given as 110 dollars per unit. Then the total surplus will be 4800 dollars.
How do determine the monopoly price and the total surplus?The figure below illustrates the market for steel.
If the steel market is competitive, firms can produce steel at a constant marginal cost of $100 per ton.
Therefore, the price of steel is $100 per ton, and 100 tons are produced.
Assume that if all the steel companies consolidate into a monopoly, the monopoly’s marginal cost will fall to $70 per ton.
If the market is controlled by a monopoly, the total surplus will be
The demand curve has to be defined the demand curve will be
P = 150 - 0.5Q
Total revenue, TR = 150Q - 0.5Q^2
MR = 150 - Q
MC = $ 70
The monopolist will maximize profit at MR = MC
150 - Q = 70
=> Q = 80 units
Monopoly price, P = 150 - 0.5 × 80 = $ 110 / unit
Total surplus = (1/2)×(150-110)×80+(110-70)×80
= 1,600 + 3,200
= $ 4,800
The graph is given below.
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John, Musa and Mable shared 180,000 in the ratio of 2:3:4 respectively How much money did each get?
Answer:
2:3:4=40,000:60,000:80,000
Step-by-step explanation:
plus 2+3+4
thats 9
divide 9 by total amount which is what ratio 1 got =20,000
so now you multiple each ratio with 20,000 to get the ratio.
EXPLAIN WHAT YOU PISCOVERED ABOUT THE NATURAL BASE E
Answer:
It's called the Natural Logarithm because so many processes in nature can be described mathematically using it.
For example:
1) The population of a colony of rabbits that reproduce at a constant rate
2) The decay rate of a charged capacitor
3) The decay rate of a radioactive isotope
4) The rate at which your money will grow if you apply an interest rate continuously over a period of time.
5) The population of seeds in a sun flower
6) etc.
Find the area and the circumference of a circle with radius 6 cm.
Write your answers in terms of it, and be sure to include the correct units in your answers.
Step-by-step explanation:
radius=6cm.
π=22 over 7
circumference=2πr
circumference=2×22 over7×6
circumference=51.04cm
Select True or False for each statement.
16.284 rounded to the nearest whole number is 16 feet per second.
?
16.284 rounded to the nearest tenth is 16.3.
?
16.284 rounded to the nearest hundredth is 16.29.
?
HELP ASAP!!
Answer:
True, True, False
Step-by-step explanation:
16.284 to whole is 16
16.284 to tenth is 16.3
16.284 to hundredth is 16.28
Write the equation of the parabola that has the vertex at point (2,7) and passes through
the point (-1,3).
Answer:
[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]
Step-by-step explanation:
the answer is :- .
[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]
Answer:
y=-4(x+2)^2+7
Step-by-step explanation:
Simplify the square root of (x^2 -6x+ 9) if x<3
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x}^{2} - 6x + 9 }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x}^{2} - 3x - 3x+ 9 }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{{x(}^{} x- 3) - 3(x - 3) }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{( x- 3) (x - 3) }[/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{( x- 3) {}^{2} }[/tex]
[tex]\qquad \sf \dashrightarrow \: {( x- 3) {}^{} }[/tex]
I hope you understood the procedure ~ let me know if you have doubts ~
Answered by James ~ ( Teeny fr )
The car you are taking is reliable and in good condition. The insurance is paid, the maintenance is up to date, and it gets about 27 miles to the gallon. The gas tank holds 18.5 gallons, and the low gas light will turn on when there are 2.5 gallons left in the tank. You have saved up $1,264
to spend on these trips. You must get gas if your low gas light turns on. The average gas price in
Oregon right now is $3.20 a gallon.
a. How much does it cost to fill up your gas tank?
b. How far can you travel on a tank of gas?
c. Write that as an equation.
Answer:
a=$59.20b=432 milesC
27g=x miles on a full tank of gas
27(16)=x
x=432 miles
Step-by-step explanation:
$3.20x18.5=$59.2018.5-2.5=16 gallons16 gallons x 27 miles= 432 miles27g=x miles on a full tank of gas27(16)=xx=432 milesA number cube that has sides numbered 1 through 6 is rolled 180 times.
Answer: How many times would you expect the result to be a number greater than 2.
Hey guys,
This is just a quick question,
but do any of you know if we can view each other's desktop if we are in the same organization?
e.g. if our account is managed by our school, can I (and other people) see another person's desktop?
p.s. I am talking about macbook.
I will add you to brainlist if you answer this!!
thanks! (I thought this kinda relates to math?? so I put it in math category)
PLS HELP ME
••Pls show your work pls and thank you••
PLS HELP ME
••Pls show your work pls and thank you••
help? I can’t figure out this problem
Answer:
B
Step-by-step explanation:
Euler's formula tells you that ...
cos(θ) +sin(θ)·i ≡ e^(i·θ)
__
So, for θ = 90° (= π/2 radians), this is ...
cos(π/2) +sin(π/2)·i = 0 +i = i = e^(i·π/2) . . . . . matches choice B
Mark's age 15 years ago can be expressed as:
Can you please solve
7.25% of 38,000
10% = 3,800
5% = 1,900
1% = 380
0.50% = 190
0.25% = 95
1,900+380+380+95 = 2,755
38,000+2,755 = 40,755
Find the mean 3,4,4,2,5,7,2
Answer:
pls refer to pic
well I am from India whats the time there now
please i really need help right now 25 points
Step-by-step explanation:
choice 2 ..............
Which algebraic expression is equivalent to the expression below?
(16x - 2) + (10 - 8x)
OA. 8x + 12
OB. 26x - 10
OC. 24x + 12
OD. 8x + 8
Answer:
D. 8x + 8
Step-by-step explanation:
16x - 8x - 2 + 10 = 8x + 8
Hope this helps
Answer:
D. 8x + 8
Step-by-step explanation:
Simplify the expression:
16x - 2 + 10 - 8x
Combine like terms:
16x + 8 - 8x
8x + 8
hope this helps!
If you sell 175 shares of Michaels Flowers at $7.28 per share and 445 shares of Nanotech One at $10.80 per share, how much money will you receive, to the nearest dollar?
Answer:6080$
Step-by-step explanation:I did the same question on my test
17. Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at [tex]70^{\circ} \mathrm{F}[/tex] and 173 chirps per minute at [tex]80^{\circ} \mathrm{F}[/tex] .
(a) Find a linear equation that models the temperature [tex]T[/tex] as a function of the number of chirps per minute [tex]$N$.[/tex]
Answer:
1435
Step-by-step explanation:
makatulong ba itong anser ko
Aman bootowed Rs 500 for 3 years at the oate for 5% Find his interest and amount
Answer:
Interest=75
Amount=575
Step-by-step explanation:
Interest= Principal×rate×time÷100
500×5×3÷100=75
Amount=Principal+Interest
Amount=575
I hope you find this helpful
Answer:
Amount =principa+simple interest.
=575
Step-by-step explanation:
Simple =(P*R*T) /100.
=(500*5*3)/100.
=75.
.....
500+75=575
jane has twice as many books as Kate. if jane gives 14 books to Kate , they will have the same number of books. how many books do they have altogether?
need help plss
Answer:
I believe the answer is 42 books.
Step-by-step explanation:
HELPP Find the value of x.
7.5
8.5
8
7
Answer:
8.
Step-by-step explanation:
I think that's the right answer. Please let me know if it isn't
8 is the correct answer the lovely person who owns this question corrected my mistake. Thank You by the way.
Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(A) in how many ways can she arrange all 9 paintings? Show your work.
(B) if she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.
The number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is n!. Here, n is the number of objects.
Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(A) Number of ways, she arranges all 9 paintings.There are total 9 paintings. So the number of arrangement of these painting is,
[tex]9!=9\times8\times7\times6\times5\times4\times3\times2\times1\\9!=362880[/tex]
(B) Number of ways can she choose the paintings she wishes to display-There are total 9 paintings, in which Dr. Orchid wants to display 4 of the paintings. Thus, the number of ways can she choose the paintings she wishes to display is,
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}\\^9C_4=\dfrac{9\times8\times7\times6\times5!}{4!5!}\\^9C_4=126[/tex]
Hence, number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.
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what is 108 x 0.37 in money
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
sin45°=x/16
or, 1/√2 = x/16
or, x=16/√2
or, x=8√2 or 11.31 #
A gardener uses 20 gallons of water each week on his 8-foot by 10-foot vegetable garden. He plans to enlarge his
garden to 24 feet by 30 feet.
How much water would he expect to use on his new garden? Show all of your work and provide a brief explanation with your answer.
Answer:
60 gallons
Step-by-step explanation:
so he enlarged it by three so it would be 24by30
because of that, you have to multiply 20g by 3 also
that gives you 60 gallons
The diameter of the cone is 6 inches. It’s height is 4 inches. What is its slant height?
Answer:
5 inches
Step-by-step explanation:
As the height is perpendicular to the base, the radius and the height form a right angle, creating a right triangle where the slant height is the hypotenuse, thus:
[tex](height)^2+(radius)^2=(slant\:height)^2[/tex]
[tex]4^2+(6/2)^2=(slant\:height)^2[/tex]
[tex]16+9=(slant\:height)^2[/tex]
[tex]25=(slant\: height)^2[/tex]
[tex]5=slant\: height[/tex]
In conclusion, the slant height of the cone is 5 inches. See below for a visual.
-
A rectangle has dimensions 2x – 12 by 3x + 9 and area 60 cm². What are the actual
dimensions of the rectangle?
Answer:
2 x 30 cm
Step-by-step explanation:
L x W = 60
(2x-12)(3x+9) = 60
6x^2 -18x-168=0
use quadratic fromula to find x = 7 or -4 (throw out)
the sides then become ( using 7)
2 and 30 cm
76/81*80/76 how to solve mentally
Answer:
[tex]\frac{80}{81}[/tex]
Step-by-step explanation:
The cross numerator and denominator of 76 can be crossed out leaving out simply.
[tex]\frac{76}{81} *\frac{80}{76}\\\frac{1}{81} *\frac{80}{1}=\frac{80}{81}[/tex]
Question 6 of 10
15
10
Which function is graphed?
5
-8 6 4 2 0 2
6
8
-5
O A. y.
{x+6,> 3
{-x+6, x83
B. y - {x? +6,x< 3
1-x+6,23
O C. Y-
{x? +6.53
1-x+6, x>3
Tx2 +6.x23
O D. y =
{-x+6, x<3
Answer:
b
Step-by-step explanation:
The function represented by the graph is
y = { x² + 6 , x < 3
-x + 6 , x ≥ 3}
What is a function ?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
According to the graph
When x < 3 then y = + 6
and, at x = 3 we get an open interval.
So, y = x² + 6 is valid for x < 3 not at x =3.
Also , y = -x + 6 is valid for x ≥ 3 and we get a close interval.
Thus, the function represented by the graph is
y = { x² + 6 , x < 3
-x + 6 , x ≥ 3}
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