La barbería El Caleño, tiene en promedio 120 clientes a la semana a
un costo actual de $6000 por corte de cabello. Se sabe que por cada incremento
de $700 en el precio, la peluquería pierde 10 clientes. ¿Cuál es el precio máximo
que puede cobrarse de modo que los ingresos semanales no sean menores que los
actuales?
Queremos maximizar el precio de tal forma que los ingresos no disminuyan.
Ese maximo precio es: $14,040.6
Sabemos que actualmente el precio es:
p = $6,000
El número de clientes es:
C = 120
Actualmente los ingresos son el producto de esos dos números, es decir:
ingresos = $6,000*120 = $720,000
Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.
Entonces podemos escribir el número de clientes como una ecuación lineal.
C(p) = a*p + b
tal que tenemos dos puntos en esa linea:
($6,000, 120)
($6,700, 110)
La pendiente es:
[tex]a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}[/tex]
Entonces tenemos:
C(p) = (-10/$700)*p + b
Sabemos que:
C($6,000) = 120 = (-10/$700)*$6,000 + b
120 = -85.71 + b
120 + 85.71 = b =
Entonces la ecuación lineal es:
C(p) = (-10/$700)*p + 205.71
Los ingresos serán dados por:
ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p
Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:
(-10/$700)*p^2 + 205.71*p = $720,000
Entonces debemos resolver la ecuación cuadratica:
(-10/$700)*p^2 + 205.71*p - $720,000 = 0.
Las soluciones son dadas por la formula de Bhaskara.
[tex]p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}[/tex]
La solución de maximo valor es:
p = (-205.71 - 195.45)/(-20/$700) = $14,040.6
Sí quieres aprender más, puedes leer.
https://brainly.com/question/8926135
Which fraction has a repeating decimal as its decimal expansion?
BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,
Answer:
27:45
Step-by-step explanation:
The ratio is 3:5, so the total is 8. 72/8 is 9. 9*3 is 27, and 9*5 is 45, so the two groups consist of 27 and 45 BAKERY Rolls.
Can someone help me understand this and give me the answer?
what's the answer???
Answer:
Step-by-step explanation:
y-4=-2(x-8)
solution needed step by step
Answer:
I am doinnnng ok just wait
Answer:
Points again!!!
Step-by-step explanation:
Hey thanks
What is the domain of the graph
Answer:
it D
Step-by-step explanation:
I'm thinking of 2 numbers. Both numbers have the same absolute value. What number must be true about the 2 numbers?
Answer: they have the same number in them for example -4 and 4
Step-by-step explanation:
helppppppppppp please
Answer:
6
.......
.
...........
Find the unit price in dollars per ounce).
A 24-ounce can of pineapple for $1.08
PLS PLS HELPME ASAP
Answer:
$0.05 per ounce
Step-by-step explanation:
To find the price in dollars per ounce, divide the price by the number of ounces.
[tex]\frac{1.08}{24}[/tex] = $0.045 per ounce = $0.05 per ounce
est 100:
337
55,745
SS
t 1,000:
Answer:
Is this a question??
Step-by-step explanation:
At a diving competition, Allison scored 78.5 on her first dive. Hannah's score on her first dive was 74.65. How many more points did Allison score on her first dive than Hannah? SHOW YOUR WORK.
Which problem could the bar diagram represent
ANSWER: is there a picture for the question?
Step-by-step explanation:
The property tax on a house with an assessed value of $606,000 is $7070. Determine the property tax on a house with an assessed value of $810,000, assuming the same tax rate.
The property tax is $___?
Answer:
9450
Step-by-step explanation:
.........................
Which equation does not belong? Explain your reasoning 2x + y = 4 y = -2x + 4 f(x) = -2x + 4 2x + 2y = 4
Answer:
2x + 2y = 4 does not belong
Step-by-step explanation:
2x + y = 4 → y = -2x + 4
y = -2x + 4 → y = -2x + 4
f(x) = -2x + 4 → y = -2x + 4
2x + 2y = 4 → y = -x + 2
What is a multiplication table
Answer:
a table of products of two factors especially the integers 1 to 12 have a nice day
Step-by-step explanation:
:)
=
Find the slope of the graph of — 4x + 2y = 10 by
rewriting the equation in slope-intercept form.
Answer:
multiply by -1
Step-by-step explanation:
Slope intercept form : y = mx + b
-4x + 2y = 10 Solve the equation for y
+4x = +4x
2y = 4x + 10
y = 4x/2 + 10/2 Divide all terms by 2
multiply by -1 Simply
A manager announces that a sweater will go on sale every month at a discount of 25% less than the previous month’s price. If the sweater is at full (retail) price today, how many months from today will it take the price of that sweater to drop to half of today’s price
Answer:
2 months
Step-by-step explanation:
its at full price at 100%
if it goes down 25% it'll take 2 months to drop half of today's price because 25 x 2 = 50
half of 100
x^2-6x+13 step by step to vertex form
HELP ME SOLVEEEE !!!!!
Answer:
y=2
Step-by-step explanation:
y+7=9(y-1)
y+7=9y-9
y-9y=-9-7
-8y=-16
y=2
_________
[tex] \: [/tex]
[tex] \frac{1}{3} (y + 7) = 3(y - 1)[/tex]
[tex] \frac{y + 7}3 = 3(y - 1) [/tex]
[tex]y + 7 = 9(y - 1)[/tex]
[tex]y + 7 = 9y - 9[/tex]
[tex]y - 9y = - 9 - 7[/tex]
[tex] - 8y = - 16[/tex]
y = 2✔
Can someone pls help me Pls
Answer:
8/63
Step-by-step explanation:
(1/7)×(8/9)=8/63
yep
6846 is shared equally between 7 people how much does each person get?
Answer:
978
explanation is a calculator
PLEASE HELP, WILL GIVE BRAINLIEST.
Arjun's goal for this week is to drink no more than 100 grams of sugar from all of his beverages combined. The first table shows Arjun's plan for this week. Try to make a DIFFERENT plan to get close to 100 grams of sugar without going over.
What is the area of a circle with a diameter of 10cm (used 3.14)
Answer:
78.5
Step-by-step explanation:
A=[tex]pie[/tex]r^2
A=3.14 times 5^2
A=3.14 times 25
A= 78.5
Jesus Loves You!!!
OMG I NEED HELP BADLY RN
In which quadrant does the point (3 , 19) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answer:
Quadrant I
Step-by-step explanation:
There are four quadrants that go like this.
Quadrant I = Top Right
Quadrant II = Top Left
Qudrant III = Bottom Left
Quadrant IV = Bottom Right
As long as you can graph an equation you just need to remember the quadrants.
which quanity is proportional to 5/25
Answer:
1/5
Step-by-step explanation:
The area of the table should be
10 ft2. You want the length of the table to be 1 ft shorter than twice its width.
What should the dimensions of the table be?
Answer: width : 2.5 ft. and length : 4 ft.
Step-by-step explanation:
The area = W × L
[tex]10=W(2W-1)[/tex]
[tex]10=2W^{2} -W[/tex]
[tex]0 = 2W^{2}-W-10[/tex]
[tex]0=(2W-5)(W+2)[/tex]
W = 2.5 and -2
You can't use -2 so
[tex]L = 2(2.5)-1[/tex]
[tex]L = 4[/tex]
please give me a brainliest answer
5(Y-1)=3(2Y-5)-(1-3Y)
Answer: =11/4
Step-by-step explanation:
Answer:
[tex]y = 2 \frac{3}{4} \\ [/tex]
Step-by-step explanation:
[tex]5(y - 1) = 3(2y - 5) - (1 - 3y) \\ 5y - 5 = 6y - 15 - 1 + 3y \\ 5y - 5 = 9y - 16 \\ 16 - 5 = 9y - 5y \\ 11 = 4y \\ \frac{11}{4} = y \\ 2 \frac{3}{4} = y \\ [/tex]
use the distributive law to factor.
16m + 6n
Using the distributive law to factor, the expression becomes 16m + 6n = 2(8m + 3n)
GIven three integers A, B and C, according to the distributive property;
A(B+C) = AB + BC
Given the expression 16m + 6n
First, we need to get the factors of both terms
16m = 2 * 8 * m
6n = 2 * 3 * n
From both factors, we can see that 2 is common to both of them. Hence using the distributive law to factor, the expression becomes;
16m + 6n = 2(8m + 3n)
Learn more here: https://brainly.com/question/2118428
solve pls Brainliest
Answer:
25
Step-by-step explanation:
155-180=25 degrees
Answer:
x = 25°
Step-by-step explanation: