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Butoxors [25]
3 years ago
11

An industry demand curve faced by firms in a duopoly is P = 69 - Q, where Q = Q1 + Q2. MC for each firm is 0. How many units sho

uld each firm produce? How much money will each firm make?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

You first need to establish the benefits function B. For each firm it is equal to the amount produced (q1 for firm 1 and q2 for firm 2) multiplied by the price P, minus cost C. It is

B1 = P.q1 - C1 = (69 - q1 - q2)q1 - C1

B2= P.q2 - C2 = (69 - q1 - q2)q2 - C2

As firma Will maximize benefits we need the derivative in q1 and q2 for firms 1 and 2 respectively. This will give us

69 - 2q1 - q2 = 0

69 - q1 - 2q2 = 0

Note that the derivative of cost is null as marginal cost is null.

Thus,

q2= 69 - 2q1

Replacing on the second equation:

69- q1 - 138 + 4q1 = 0

-69 + 3q1= 0

q1= 69/3=23

Replacing in the q2 equation:

q2=69- 46= 23

To find the money they make replace in benefits function. First we find piece P=69-23-23=23. Thus:

B1=23*23-C1

B2=23*23-C2

As we don't have a value for C1 and C2 we can't compute a number for benefits. If you have these values you will have the benefits.

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tangare [24]

Answer:

43, 9, 50, 13, 27.

Step-by-step explanation:

43680, 98750, 13092, 76561, 58712

The first two digit number of the random digits is 43 that represents the first number.

The next two digit number of the random digits is 68, which is greater than 60 and does not correspond to a number of the lottery.

The next two digit number of the random digits is 09, that represents the second number.

The next two digit number is 87, which is also greater than 60, so we will not choose it.

The next two digit number is 50, that shows the third number.

The next two digit number is 13, that shows the forth number.

The next two digit number is 09, but it is already used above.

The next two digit number is 27, that gives the fifth number.

Therefore, the lucky numbers you will choose and play are:

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6 0
4 years ago
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations
Svetlanka [38]

Answer:

Part A

it uses a geometric sequence because it shares the same ratio.

Part B

it would take aurora 64 minutes to complete station 5 since every station the time doubles from the station before

Part C

it will take 512 minutes to complete station 8.

Step-by-step explanation:

took test

3 0
3 years ago
2) Un parque cuadrado tiene una superficie de 1600 m2. Si corres alrededor del parque dando 6 vueltas a su alrededor. ¿Cuántos m
elena-s [515]

Respuesta:

960 m

Explicación paso a paso:

Paso 1: Información provista

Superficie del parque (S): 1600 m²

Paso 2: Calcular cuanto mide cada lado (l) del parque

El parque es un cuadrado, por lo que podemos encontrar la longitud del lado usando la siguiente fórmula.

S = l²

l = √S = √1600 m² = 40 m

Paso 3: Calcular el perímetro del parque (P)

El perímetro es la cantidad de metros que reccorre cuando da una vuelta completa.

P = 4 l = 4 × 40 m = 160 m

Paso 4: Calcular la distancia recorrida cuando corre 6 vueltas

Debemos multiplicar el perímetro por 6.

6 × 160 m = 960 m

8 0
3 years ago
Identify the area of the composite shape.
ivanzaharov [21]

Step-by-step explanation:

2(14 \times 2) + ((7 - 4) \times (14 - 9)) =  \\  = 28 \times 2 + (3 \times 5) =  \\  = 56 + 15 =  \\  = 71

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3 years ago
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