Question

For a monopolist, the unit cost of manufacturing a product is $3 and the demand equation is p= Va. What price will give the greatest profits?

299

likes
1494 views

Answer to a math question For a monopolist, the unit cost of manufacturing a product is $3 and the demand equation is p= Va. What price will give the greatest profits?

Expert avatar
Hester
4.8
111 Answers
Así es como se puede determinar el precio que generará la mayor ganancia para el monopolista: **1. Comprender los conceptos** * **Beneficio:** Ingresos totales menos costo total (Beneficio = TR - TC) * **Ecuación de demanda:** En este caso, la ecuación de demanda muestra una relación inversa entre el precio (p) y la cantidad demandada (implícita en 'a'). A medida que aumenta el precio, la cantidad demandada disminuye. * **Monopolista:** Un monopolista tiene el poder de fijar precios para maximizar sus ganancias. **2. Configurando las ecuaciones** * **Ingresos Totales (TR):** Precio (p) * Cantidad (q). Pero necesitamos expresar la cantidad en términos de precio usando la ecuación de la demanda. Como p = Va, podemos resolver para q: q = p/V * TR = p * (p/V) = p²/V * **Costo total (CT):** Costo unitario ($3) * Cantidad (q) * TC = 3q = 3(p/V) * **Ganancia:** * Beneficio = TR - TC = (p²/V) - (3p/V) **3. Encontrar el precio óptimo** Para maximizar las ganancias, un monopolista producirá donde el ingreso marginal (MR) sea igual al costo marginal (MC). Encontremos esos: * **Ingreso Marginal (MR):** La derivada de TR con respecto a p: MR = (2p/V) * **Costo Marginal (MC):** La derivada de TC con respecto a p: MC = (3 / V) **4. Ajuste MR = MC** * (2p/V) = (3/V) * 2p = 3 * p = 3/2 = $1.50 **5. Considerando la ecuación de la demanda** La ecuación de la demanda (p = Va) implica que 'V' es una constante que representa la pendiente de la curva de demanda. Necesitaremos el valor de 'V' para calcular un precio específico. Si V es muy pequeño, incluso el precio óptimo de 1,50 dólares puede no dar como resultado una ganancia positiva. **En resumen** * El precio de 1,50 dólares dará las mayores ganancias al monopolista, pero sólo si la curva de demanda permite una ganancia positiva dada la estructura de costos. Necesitará un valor para 'V' en la ecuación de demanda para obtener una respuesta más definitiva.

Frequently asked questions (FAQs)
What is the rule for congruence of triangles based on SAS (side-angle-side) criterion?
+
Math question: What is the value of log(base 2) of [(2 to the power of 4) multiplied by (2 to the power of -2)]?
+
Find the sum of all even integers from 2 to 100, using the sum formula.
+
New questions in Mathematics
5(4x+3)=75
How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?
Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)
Reparameterize the curve r(t)= cos(t)i without (t)j (t)k by the arc length.
5.- From the probabilities: 𝐏(𝐁) = 𝟑𝟎% 𝐏(𝐀 ∩ 𝐁) = 𝟐𝟎% 𝐏(𝐀 ̅) = 𝟕𝟎% You are asked to calculate: 𝐏(𝐀 ∪ 𝐁)
v Is the following statement a biconditional? If Shannon is watching a Tigers game, then it is on television.
sin 30
A warehouse employs 23 workers on first​ shift, 19 workers on second​ shift, and 12 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first ​-shift workers.
Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: • How many hectares of each crop must be allocated so that the profit is maximum. R= • The estimated profits for the ejidal cooperative in the next growing season. R=
The function h(t)=-5t^2+20t+60 models the height in meters of a ball t seconds after it’s thrown . Which describe the intercepts and vertex of this function
9.25=2pi r solve for r
How to factorise 5y^2 -7y -52
A person runs 175 yards per minute write a variable that represents the relationship between time and distance
(6²-14)÷11•(-3)
If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13
A nondegenerate ideal gas of diatomic molecules with a kilomolar mass of 2 kg/kmol and a characteristic rotational temperature of 86 K is adsorbed on the walls of a container, where the binding energy is 0.02 eV. The adsorbed molecules move freely on the walls, and their rotation is confined to the plane of the walls. Calculate the surface density of adsorbed molecules at 12 K if the gas pressure is 103 Pa! What result would you get at 68 K and the same pressure?
How many digits are there in Hindu-Arabic form of numeral 26 × 1011
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
Hola👋🏻 Toca en "Crear Nueva Tarea" para enviar tu problema de matemáticas. ¡Uno de nuestros expertos comenzará a trabajar en ello de inmediato!
23,456 + 3,451