Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given by C1 = 60Q1 and C2 = 60Q2, where Q1 is the output of Firm 1 and Q2 the output of Firm 2. Price is determined by the following demand curve P = 300 â Q where Q = Q1 + Q2. a.Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium. b.Suppose the two firms form a cartel to maximize joint profits. How many widgets will be produced? Calculate each firmâs profit. c.Suppose Firm 1 were the only firm in the industry. How would market output and Firm 1âs profit differ from that found in part (b) above? d.Returning to the duopoly of part (b), suppose Firm 1 abides by the agreement, but Firm 2 cheats by increasing production. How many widgets will Firm 2 produce? What will be each firmâs profits? a.Cournot Nash equilibrium is 80 units of output and $140 price. Profit for each firm will be $6,400. b.The cartel will produce 120 widgets at $180. The profit of each firm will be $7.200. c.The market output will be 120 widgets, and the profit will be $14,400. d.Firm 2 will produce 90 widgets. Firm 1 profit will be $5,400, and firm 2 profit will be $8,100.

Answer:

To transform a figure from Quadrant II to Quadrant IV, we need to reflect it across the x-axis and then rotate it 180 degrees counterclockwise. Therefore, the sequence of transformations is:

Reflect the figure across the x-axis

Rotate the reflected figure 180 degrees counterclockwise

Note: It's important to perform the transformations in this order since rotating the figure first would change its orientation before the reflection.

To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.

A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.

We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.

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Answer:

2502.1

Step-by-step explanation:

4754/1.9

= 2,502.1

Hence the andwer is 2502.1

A possible line of best fit for the scatter plot is given as follows:

D. y = -2x + 10.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

From the graph, when x = 0, y = 10, hence the intercept b is given as follows:

b = 10.

When x increases by 5, y decays by 10, hence the slope m is given as follows:

m = -10/5

m = -2.

Hence the function is:

y = -2x + 10.

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Answer:

i am pretty sure the answer is d.

Step-by-step explanation:

let me know if this is wrong

Answer:

301.44

Step-by-step explanation:

V = h x π x r^2

V = 6 x 3.14 x 4^2

V = 301.44

hope this helped!

The value of the 3 in the tenths place is 1/100 the value of the 3 in the tens place.

A decimal is a number that is made up of integers and non integers. An example of a decimal is 32.12.

Where:

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Answer:

The correct option is third, H = - 14

Step-by-step explanation:

H = - 2×7

= -14

Answer:

Angles on a straight line add up to 180 degrees so for the 129 degrees you will take 180 - 129 = 51. In the triangle you will add 51 and 55 = 106 but remember in a triangle all angles should be equal to 180. So 180 - 106 = 74. X=74degrees

Answer:

How can I help you?

Step-by-step explanation:

I will try my hardest and best to help you.

(p.s. I just saw your profile and most of the questions include pictures, on my end, it says that these pics are blocked. So, try asking the question without having to take a picture, instead, just type the question out. (and include the choices, if there are any))

Answer: It could be, just add two dots at the smiley face, BOOM! The function of Facial muscles in humans.

Step-by-step explanation:

Answer:

8.3333333 square & root of 25

Step-by-step explanation:

Answer: The answer is A bc you have to multiply .57 and 18. Hope this helps

Answer:

the plane is descending at a rate of 8,300 feet per minute

Step-by-step explanation:

31,275 - 22,975 = 9,300

BRAINLIEST PLEASE!

We would require 400 square tiles, each measuring one square foot, to cover the whole surface of the square room.

If the perimeter of the room is 80 feet, we know that all four sides of the square room have the same length. To find the length of each side, we can divide the perimeter by 4: 80 feet / 4 = 20 feet.

Now that we know the length of each side of the room, we can find the area of the room by squaring that measurement: 20 feet x 20 feet = 400 square feet.

To find the number of floor tiles needed to cover the area of the room, we divide the total area of the room by the area of each tile: 400 square feet / 1 square foot/tile = 400 tiles.

So, to cover the entire area of the square room, we would need 400 square tiles of one square foot each.

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Significant zeros are zeros that contribute to the precision of a number, while nonsignificant zeros are placeholders or indicate the magnitude of a number.

Significant zeros are zeros that are considered significant and contribute to the precision of a number. They are located between nonzero digits or at the end of a number with a decimal point.

For example:

In the number 4,503, the zeros between 4 and 3 are significant.

In the number 0.00856, the zeros after the decimal point and before the 8 are significant.

Nonsignificant zeros, on the other hand, are zeros that do not contribute to the precision of a number and are used for placeholders or to indicate the magnitude of a number. They are typically located at the beginning or end of a number without a decimal point. Examples include:

In the number 0420, the zero at the beginning is nonsignificant.

In the number 0.003, the zeros before the decimal point is nonsignificant and serve as placeholders.

It's important to note that the significance of zeros can vary depending on the context and the rules of significant figures or decimal places being used in a specific calculation or measurement.

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Jessica purchased a DVD that was on sale for 12% off.

The sales tax in her county is 3%.

Let, y represent the original price of the DVD.

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will form an algebraic expression, according to the given data.

So,

The original price of the DVD = y

Discount on the original price :

y * 12/100

=3y/25

Price after discount :

y - 3y/25

=25y - 3y/25

=22y/25

Sales tax amount :

22y/25 * 3/100

11y/25 * 3/50

=33y/1250

Final price including the sales tax :

22y/25 + 33y/1250

1100y + 33y/1250

1133y/1250

(This will be considered as the final result.)

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The population after 105 minutes is 282651.0114.

What is exponential growth?

Exponential growth is the process by which quantity rises over time. It occurs when a quantity's instantaneous rate of change with regard to time is proportionate to the quantity itself.

Here, we have

Given: The count in a bacteria culture was 200 after 15 minutes and 1500 after 40 minutes. Assuming the count grows exponentially.

Exponential growth is modeled by the equation: P(t) = P₀\(e^{kt}\)....(1)

where P(t) is the population at time t, P₀ is the initial population and k is the growth rate.

Given

200 after 15 minutes

Now, we put the values in equation (1) and we get

200 = P₀\(e^{15k}\)...(2)

Also, 1500 after 40 minutes

1500 = P₀\(e^{40k}\)...(3)

Now, we divide equation(3)by (2) and we get

1500/200 = \(e^{40k}\)/\(e^{15k}\)

15/2 = \(e^{25k}\)

Now, we take a log and we get

ln(15/2) = 25k

k = ln(15/2)/25

k = 0.0805

Now, we put the value of k in equation(2) and we get

200 = P₀\(e^{15(0.0805)}\)

Initial size of the culture P₀ = 59.702

Now, we find the doubling period:

f(t) = 2P₀

We know that f(t) = P₀\(e^{kt}\).

2P₀ = P₀\(e^{kt}\)

\(e^{kt}\) = 2

Now, we take a log and we get

ln(2) = kt

t = ln(2)/k

t = ln(2)/0.0805

t = 8.600

The time taken to doubling period is 8.600 minutes.

Population after 105 minutes:

f(t) = P₀\(e^{kt}\)

f(t) = 59.702\(e^{0.0805*105}\)

f(t) = 282651.0114

Hence, the population after 105 minutes is 282651.0114.

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Answer:

j.35 times

Step-by-step explanation:

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

-45

Step-by-step explanation:

Answer:

x= -45

Step-by-step explanation:

Let's solve your equation step-by-step.

x/9 = -5

Answer:

1

Step-by-step explanation:

None of the sides are equal. Isosceles means that 2 sides are equal. Equilateral means that all sides are equal.

The polynomial function in expanded form is f(x) = x² - 3x² + 4x - 2.

A polynomial function with rational coefficients that has the given numbers as zeros, considering their conjugates . Since 1+i is a zero, its conjugate 1-i must also be a zero.

Using the zero-product property,  that if a polynomial has a zero at a given number, then the polynomial must have a factor of (x - zero). Therefore, the polynomial function with the given zeros can be written as:

f(x) = (x - (1+i))(x - (1-i))(x - 1)

Expanding this expression,

f(x) = ((x - 1) - i)((x - 1) + i)(x - 1)

= ((x - 1)² - i²)(x - 1)

= ((x - 1)² + 1)(x - 1)

= (x² - 2x + 1 + 1)(x - 1)

= (x² - 2x + 2)(x - 1)

= x² - 2x² + 2x - x² + 2x - 2

= x² - 3x²+ 4x - 2

.

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Answer:

-21z-35t+21g

Step-by-step explanation:

-7x3z=-21z

-7x5t=-35t

-7x-3g=21g

Answer:

Chicken

Step-by-step explanation:

When the chicken gets rolled in the batter. it gets fried after.

Answer:

{-4,-2,2}

Step-by-step explanation:

Answer:

Yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

Step-by-step explanation:

We are told that on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards.

This means the chance of success is p = 45% = 0.45

Now, 20 of the company's employees are randomly and independently sampled. This means that for any amount of success within this sample number can be represented by;

P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)

Where;

x is the number of possible successes

n is the number of trials

p is the chance or probability of success

C(n, x) is the number of possible combinations that could occur

This formula represents the binomial probability distribution formula.

So yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution

When we divide the 464 by 60 we get the following remainder in our answer that is 44.

The Remainder is the name for the value that is left behind after division. If an amount (reward) cannot be divided completely with another number, we are left with only a meaning (divisor). The remaining is the name for this amount. For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.

7.733333333333333

=7 44/60 ⇔ 7 R 44

464 divided by 60

=7 with a remainder of 44

Here, we provide you the outcome of the dividing with remainder, often known as the Euclidean division, along with a brief explanation of the following terms:

464 divide by 60 yields a quotient and residual of 7 R 44.

464 is the dividend & 60 is the divisor; the division (numeric division) of 464/60 is 7; the remainder ("left over") is 44.

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The two equation that represents the information is x + y = 150

y = 3x

let

the number of rock music = x

the number of alternative music = y

Therefore,

x + y = 150

y = 3x

The two equation that represent the information are as follows:

x + y = 150

y = 3x

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