Question

A merchant can sell 20 electric shavers a day at a price of 25 each, but he can sell 30 if he sets a price of 20 for each electric shaver. Determine the demand equation, assuming it is linear. Consider (P= price, X= quantity demanded)

165

likes
826 views

Answer to a math question A merchant can sell 20 electric shavers a day at a price of 25 each, but he can sell 30 if he sets a price of 20 for each electric shaver. Determine the demand equation, assuming it is linear. Consider (P= price, X= quantity demanded)

Expert avatar
Birdie
4.5
102 Answers
Para determinar la ecuación de la demanda, necesitamos encontrar la relación entre el precio (P) y la cantidad demandada (X).

Primero, vamos a utilizar los datos proporcionados. Sabemos que cuando el precio es de 25, la cantidad demandada es de 20. Y cuando el precio es de 20, la cantidad demandada es de 30.

Podemos usar estos dos puntos para determinar la pendiente de la ecuación de la demanda. La pendiente se calcula utilizando la fórmula:

m = \frac{{Y_2 - Y_1}}{{X_2 - X_1}}

Donde (X1, Y1) y (X2, Y2) son los puntos dados. En nuestro caso, podemos usar los puntos (25, 20) y (20, 30):

m = \frac{{30 - 20}}{{20 - 25}} = \frac{{10}}{{-5}} = -2

Ahora que tenemos la pendiente (-2), podemos utilizarla junto con uno de los puntos para encontrar la ecuación de la demanda en la forma punto-pendiente:

y - y_1 = m(x - x_1)

Usaremos el punto (25, 20) como (x1, y1):

y - 20 = -2(x - 25)

Simplificando la ecuación, obtenemos:

y - 20 = -2x + 50

Finalmente, podemos reorganizar la ecuación para obtener la forma más común de una ecuación lineal:

y = -2x + 70

Por lo tanto, la ecuación de la demanda lineal es:

P = -2X + 70

\textbf{Respuesta:} La ecuación de la demanda lineal es $P = -2X + 70$

Frequently asked questions (FAQs)
What is the value of (2^3 * 4^2) / (2^2 * 3^3)
+
Find the value of 'x' in triangle ABC where AB = 7cm, AC = 4cm, ∠C = 40°, ∠A = 70°. [
+
Question: What is the Pythagorean theorem used for in geometry?
+
New questions in Mathematics
A=m/2-t isolate t
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
3(2+x)-2(2x+6)=20-4x
How many percent is one second out a 24 hour?
what is 3% of 105?
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
58+861-87
Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.
By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.
A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
392929-9
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
4m - 3t + 7 = 16
Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2
(3b)⋅(5b^2)⋅(6b^3)