Convert the following repeating decimal to a fraction in simplest form. .05

daser333 [38]

Answer:

The monopolist's net profit function would be:

$N(y)=198\,y\,-\,2.5\,y^2$

Step-by-step explanation:

Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.

Therefore, if the demand curve is given by the function:

$P(y)=200-2y$

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.

Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

$I(y)=y*P(y)\\I(y)=y\,(200-2y)\\I(y)= 200y-2y^2$

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

$N(y)=I(y)-C(y)\\N(y)=(200\,y-2y^2)-(2y+0.5y^2)\\N(y)=198\,y\,-\,2.5\,y^2$

5 0

3 years ago

Choose a system of equations with the same solution as the following system:

Lina20 [59]

Answer:

Option A.

Step-by-step explanation:

We are given 6x+2y =-6 ......(1) and 3x-4y=-18 .....(2)

Solving equations (1) and (2) we get

12x+3x =-30, ⇒x= -2 and from equation (1), 2y= -6-6(-2) =6, ⇒ y=3

Therefore, the solution for the given set of equations is x= -2 and y=3

A) Solving the equations 8x+4y = -4 ....... (3)and 17x+2y =-28, we get

8x -34x = -4 -(-56) =52, ⇒-26x =52, ⇒x=-2 and from equation )(3), we get -16+4y =-4, ⇒ y=3

Therefore, the solution x=-2 and y =3 match with the original solution.

B)Solving the equations 12x + 4y = 12 ....... (4)and 21x + 2y = −36, we get

12x -42x = 12 -(-72) =84, ⇒-30x =84, ⇒x=-84/30.

Therefore, the solution x=-84/30 does not match with the original solution.

C) Solving the equations 6x + 8y = −36 ....... (4) and 15x + 6y = −60, we get 18x -60x = -108 -(-240) =132, ⇒-42x =132, ⇒x=-132/42

Therefore, the solution x=--3 do not match with the original solution.

D) Solving the equations 6x + y = 15 ....... (5) and 15x − y = −9, we get 6x +15x = 6, ⇒21x =6, ⇒x=2/7

Therefore, the solution x=2/7 do not match with the original solution.

Therefore, option A) will have the same solution. (Answer)

4 0

3 years ago

WILL MARK BRAINLIEST IF CORRECT !!!

True [87]

Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:

Original statement: The grass is wet because it was raining.

Contrapositive statement: It was not raining, so the grass is not wet.

Notice how we "flipped" the original sentence around, as wrote it's "opposite".

7 0

3 years ago

Bike rental company A charges an initial fee of $8 plus $1.25 for every hour spent biking. Bike rental company B charges $2.75 f

Lera25 [3.4K]

2.75h =8-1.25h is thus the one

7 0

3 years ago

Selma had 2 L of bottle of water. She drank 450 mL. How much water was left, in milliliters?

Basile [38]

Answer:

The amount of water left is 1550 litres

7 0

3 years ago