1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka-Z-Leto [24]
3 years ago
9

Los ingresos mensuales de un fabricante de zapatos están dados por la función l(z)=1000z-2z^2, donde z es la cantidad de pares d

e zapatos que fabrica en el mes.
a) Qué cantidad de pares debe fabricar mensualmente para obtener el mayor ingreso?
b) ¿Cuales son los ingresos si se fabrican 125 pares de zapatos? ¿y 375 pares?
c) ¿A partir de que cantidad de pares comienza a tener pérdidas?
Mathematics
1 answer:
Mashutka [201]3 years ago
7 0

Answer:

a) 250 pairs

b) 125 pairs -> profit = 93750

375 pairs -> profit = 93750

c) 500 pairs

Step-by-step explanation:

a)

To find the value of z that gives maximum profit, we just need to find the vertix of the quadratic function, which can be found with the formula:

z_vertix = -b / 2a

Where for this case a = -2 and b = 1000

So we have:

z_vertix = -1000/(-4) = 250

The maximum profit is given with 250 pairs of shoes.

b)

Using the values z = 125 and z = 375, we have:

l(125) = 1000*125 - 2*125^2 = 93750

l(375) = 1000*375 - 2*375^2 = 93750

c)

First we need to find the roots of the function l(z):

l(z) = 1000z - 2z^2 = z(1000 - 2z)

making l(z) = 0, we have z = 0 or z = 500

As we have a<0, the concavity of the quadratic equation is downwards, so for a number of pairs bigger than 500 we have a negative profit.

You might be interested in
There is an error in the diagram. Choose the statement that best describes what is wrong.
marishachu [46]

Answer:

the first one is right and other are wrong

4 0
3 years ago
(d-4)(2d+3)<br><img src="https://tex.z-dn.net/?f=%20%5Cgeqslant%20" id="TexFormula1" title=" \geqslant " alt=" \geqslant " align
valina [46]

Answer:

5d×(d-4)

-20d answer

answer -20d

3 0
3 years ago
Heather wants to put some bricks around her campfire.
Novosadov [1.4K]

Answer:

ibk looks it up please hope this helps

3 0
2 years ago
Maggie’s brother is 12 years younger that three times her age . The sun of their ages is 44 . How old is Maggie
meriva
I'm not sure if this is right but you can set up an equation and solve to find Maggie's age:

Maggie's brother's age = b
Maggie's age = m

b = 12 - 3m
44 = 12-3m
12-3m = 44
-12 -12
-3m = 32
÷ 3 ÷3
m = 10.67

So this would be Maggie's age

I hope this helped :)
7 0
3 years ago
Estimate the value to 19.7 / 0.0485​
Vlad [161]
Estimation :

20/0.05 = 400
3 0
3 years ago
Other questions:
  • What is one way to find the number of meters in 7 kilometers?
    5·1 answer
  • Use the ratio table to solve the percent problem.<br><br><br> What percent is 12 out of 20?
    10·2 answers
  • Define a variable and write an expression for the phrase. 8 minus a number 8n 8 – n
    13·1 answer
  • Diane received 300 votes in the election for student council president. That was 60% of the students who voted election. How man
    6·2 answers
  • Which sequence of transformations could be used to map triangle MNO onto M"N"O"? T(–2, 4) ry-axis ry-axisT(–2, 4) T(2, –4) T(2,
    9·1 answer
  • Here is a list of what you need to make 20 buns:
    11·1 answer
  • Find the value of x that makes m parallel to n.
    12·1 answer
  • What is the LCM 10, 15​
    15·2 answers
  • I need help with this problem i dont understand
    13·1 answer
  • At Garcia's Bike Rentals, it costs 31 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!