Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500


Related Questions

I don't know the answer ​

Answers

f(8)= (8)^2 + 4(8)

=(64) + (32)

=96

Hope this helps!

Which of the following graphs represent a function? 4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a circle. a. Graph A and Graph C b. Graph A c. Graph D d. Graph B and Graph D Please select the best answer from the choices provided A B C D

Answers

Answer:

graph A

Step-by-step explanation:

Answer:

Graph A and graph C

Step-by-step explanation:im a real one omm

What is the surface area?
4 ft
10 ft
5 ft
square feet

Answers

200 square feet. I think. Hope I’m right.

The table shows ticket prices for the local minor
league baseball team for fan club members and
non-members. For how many tickets is the cost the
same for club members and non-members?

Answers

Answer:

2x club member ticket = 1x non-club member ticket

What is the result of solving this equation for x?

y−b=m(x−a)

Answers

Answer:

( y-b) / m    +a = x

Step-by-step explanation:

y−b=m(x−a)

Divide each side by m

(y−b)m=m/m(x−a)

( y-b)/m  = x-a

Add a to each side

( y-b) / m +a = x-a+a

( y-b) / m    +a = x

Answer:

y − b = m(x − a)

y − b = mx - ma

(y - b) / m = x - a

((y-b)/m) + a = x

1+1+2+3+4+5+6+7+8+9=?

Answers

Answer:

The answer is 46

Step-by-step explanation:

Self explanatory i just added them together

hope i helped :D

5. a. After receiving a 3 % raise, Randy's salary is now $4 120. What was her
original salary? Her original salary was $

Answers

Answer:

$4000.

Step-by-step explanation:

Let x = original salary

x * 1.03 = $4,120.

x = 4000

Suppose m <6= 147º. Find <1 and m<3

Answers

Answer:

∠ 1 = ∠ 3 = 33°

Step-by-step explanation:

∠ 3 and ∠ 6 are same- side interior angles and are supplementary , thus

∠ 3 + ∠ 6 = 180° , that is

∠ 3 + 147° = 180° ( subtract 147° from both sides )

∠ 3 = 33°

∠ 1 and ∠ 3 are vertical angles and congruent, thus

∠ 1 = ∠ 3 = 33°

look at image and answer plz

Answers

Answer:

y=64 :)

Step-by-step explanation:

40/ [tex]\frac{5}{8\\}[/tex]= 64

pls give brainliest if correcto

I need help finding the slope, the Y intercept and the equation for this graph???

Answers

Answer:

Step-by-step explanation:

y intercept is 4

slope is 6/3 is 2

y=2x+4

need help with 6 easy math problems​

Answers

Answer:

image not clear.

so I can't answer it .

Answer:

Step-by-step explanation:

10v - 6 = 24

10v = 24 + 6

10v = 30

v = 30/10 = 3

7 = 6r - 17

7 + 17 = 6r

24 = 6r

24/6 = r

4 = r

Trent is drawing a diagram of his house for a school project. He decides that every 5 feet in real life should be 2 inches in the diagram. Trent's living room is 15 feet long. How long should Trent's living room be in his diagram?

Answers

Answer:

5 feet (60 inches) proportional to 2 inches is a 30:1 relationship.

15 feet (180 inches) in real life should equal 6 inches on the diagram.

180 divided by 30 = 6

Step-by-step explanation:

Answer:

6 inches

Step-by-step explanation:

A grocery store sells a bag of 6 oranges for $4.20. If Ayden spent $2.80 on oranges, how many did he buy?

Answers

Answer:

4 oranges.

Step-by-step explanation:

First, you find the unit rate of cost per orange, which is $0.70, then divide that by $2.80.

Reduce the fraction to lowest terms. x^3-x^2/x^4

Answers

Answer:

x^3-x^2

_______ =  x - 1 / x^2  (simplified by x^2)

x^4 ...?

What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?

Answers

Answer: The equation of the line is y=1/4x + 3

Step-by-step explanation:

To get the equation, you have to set it up:

y=1/4x + b

Plug in the coordinates (-4, 2) next:

2=1/4(-4) + b

Solve:

2= -1 + b

add one on both sides:

3= b

Use the information to get the equation:

y=1/4x + 3

I hope this helps!!

Answer:

dfjhbgvdsasdfgf

Step-by-step explanation:

Solve for x: 3 < x +3 < 6

Answers

Answer: 0< x < 3

Step-by-step explanation:

Hope this helps!

At the zoo, the ratio of elephants to hippos is 1.2. So for every elephant, there
are hippos

Answers

Answer:

2 hippos

Step-by-step explanation:

Answer:

For every elephant, there are 2 hippos.

5/8 z + (-2.5) = 2.5 worded

Answers

Answer:

Step-by-step explanation:

2.5 subtracted from (5/8)th of z gives 2.5

-10 |h+5| -3= -83
what is the answer to this the topic is absolute value.

Answers

Answer:

the absolute value is 3,-13

a function can be classified as one-to-one correspondence, one-to-many correspondence and many-to-one correspondence.​

Answers

For a one-to-one mapping, all the elements of the domain R must have a unique element in the co-domain R

For a one-to-many mapping, an element of the domain R must have more than one element in the co-domain R

For a many-to-many mapping, all elements of the domain R must have a unique element in the co-domain R

Mappings can be classified as one-to-one, one-to-many, and many-to-one

A mapping of a set of domain R to another set of domain X is expressed as:

f: X→ R where:

X is the domain

R is the co-domain

For a one-to-one mapping, all the elements of the domain R must have a unique element in the co-domain R

For a one-to-many mapping, an element of the domain R must have more than one element in the co-domain R

For a many-to-many mapping, all elements of the domain R must have a unique element in the co-domain R

Learn more here: https://brainly.com/question/24138383

y= -5/6x + 4 in slope intercept form?

Answers

Answer:

DOMAIN:

solution: x<0 or x>0

interval notation: ( -∞,0)U(0,∞)

RANGE:

solution :f(x) < 4 or f(x) >4

interval notation: (-∞,4)U(4,∞)

X-INTERCEPTS:

(5/24,0)

ASYMPTOTES:

vertical: x=0

horizontal: y=4

EXTREME POINTS:

none

Step-by-step explanation:

lol i didnt knw how much info u needed i hope this helps

The slope intercept form is y=mx+c, So y= -5/6x + 4 is in slope intercept form.

What is general equation of slope intercept form?

The general equation of slope intercept form is y=mx+c

where m is the slope and c is the y intercept

The given equation is y= -5/6x + 4, we have to check whether the given equation in slope intercept  form or not.

The given equation is y= -5/6x + 4...(1)

We know that general equation of slope intercept form is y=mx+c...(2)

As we compare equations (1) and (2), we find that equation (1) in the form of (2). so y= -5/6x + 4 is in slope intercept form.

Therefore y= -5/6x + 4 is in slope intercept form.

To learn more about slope intercept form click here : https://brainly.com/question/9682526

#SPJ2

What are the Slope and Equation of the graph?

Answers

Answer:

Slope=2

Equation of the Graph is y=2x-6

What is the slope of the line that goes through the points (1,-2) and (3,6)?

A.) -4


B.) 2


C.) 4


D.) 1

Answers

Answer:

(C).  4

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(1,\:-2\right),\:\\\left(x_2,\:y_2\right)=\left(3,\:6\right)\\\\m=\frac{6-\left(-2\right)}{3-1}\\\\m = \frac{6+2}{3-1}\\ \\m = \frac{8}{2} \\\\Simplify\\\\Slope = m = 4[/tex]


1. The length of a rectangular parking lot is 8m longer than its width. The area of
the parking lot is 560m2. What is the length of the parking lot? How about its
width?​

Answers

Answer:

Length = 20

Breadth = 12

Step-by-step explanation:

What the heck is this?

Answers

Answer:

(2,-1)

Step-by-step explanation:

(-2+6)/2 (2+4)/2

simplifying radicals pt.1 please help ASAP and explain if possible

Answers

The answer is c 20√2

A package of 4 pairs of insulated socks costs ​$35.56 What is the unit price of the pairs of socks​?

Answers

8.89

:

Step-by-step explanation:

Answer: $8.89

Step-by-step explanation:

$35.56/4 = $8.89

Water is poured into a container at a steady rate. After six minutes, 9.6 gallons of water are in the container. Let g represent the number of gallons of water in the
container after t minutes.
Select the equation that represents the relationship between g and t.
g= 0.6254
gt = 0.625
1.6g =1
g = 1.6t

Answers

Answer:

g = 1.6t

Step-by-step explanation:

Here, we want to select the equation that shows the correct relationship between g and t

We are told that after 6 seconds, we have 9.6 gallons of water

So the amount per second will be 9.6/6 = 1.6 gallons per second

So the relationship between the two will be

g = 1.6t

Where t is the time and g is the gallons

5 (x +2)= 11 can someone please tell me what X equals with an explanation i judt dont get math i thought i did but i dont

Answers

X=1/5
Pls mark brainliest

Answer:

x = .1

Step-by-step explanation:

Multiply 5 times x and 5 times 2

You end up with this: 10x + 10 = 11

Then, subtract 10 on each side so you would get 10x = 1

Finally, divide 10 into 1 to get your answer of x = .1

12a^3b^2c
A: The degree is 6
B: The degree is 3
C: The degree is 4
D: The degree is 5

Answers

Answer:

b. the degree is 3

Step-by-step explanation:

degree is the highest exponent

Other Questions
Most major cities in Texas were built near which physical characteristic?A Plateaus.MountainsCWaterwaysDPrairies A force of 50n is applied to an object at an angle of 50 degrees measured relative to the horizontal. Determine the horizontal and vertical components of the applied force? How is power divided amongst the 3 branches of government and how does the system of checks and balances ensure that each branch does not exceed their power? Which statement is true about the role of women in Classical China? An automobile was moving at 15 m/s and accelerated at 2 m/s2 for 10 s. Which of the followingwas its final speed? DON'T tell me it's easy or whatever because I'm having a hard time understanding it and someone on my last question WASTED my points.PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(02.07 LC)Two similar triangles are shown below:Which two sets of angles are corresponding angles?e and h; f and ge and i; f and he and g; f and he and i; f and g A farm has 60 animals. 80% of the animals are cows. How many cows are there on the farm? It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?By dividing 35 by 7.By multiplying 35 by 7.By finding the unit rate and dividing it by 7.By finding the unit rate and multiplying it by 7. when cool,wash top of range Kennedy's decision was triggered by an intense "space race" with the old Soviet Union. The Soviets were first in space (with Sputnik); first too with a man in space. July 1969. It's a little over eight years since the flights of Gagarin and Shepard, followed quickly by President Kennedy's challenge to put a man on the moon before the decade is out. A reader can best combine the information in the excerpts to Meanwhile the desire to express myself grew. The fewsigns I used became less and less adequate, and myfailures to make myself understood were invariablyfollowed by outbursts of passion. I felt as if invisiblehands were holding me, and I made frantic efforts to freemyself. I struggled - not that struggling helped matters,but the spirit of resistance was strong within me; Igenerally broke down in tears and physical exhaustion.- The Story of My Life,Helen KellerWhich sentence about Helen Keller's autobiography istrue?o It is not credible because it is the story of HelenKeller's life, and Keller is the author.It is credible because Helen Keller is the author,writing about her own life.It is not credible because there are too many detailsthat cannot be provenIt is credible because it describes events fromHelen Keller's childhood. Perception of color is determined by the wavelength of light that an object reflectsPlease select the best answer from the choices providedTOr F The difference of six times a number and seven results in 35.Identify the steps necessary to solve the equation. Question 2 of 15Rembrandt is known for a painting style that is:A. detailed and emotionally charged.B. decorative yet realistic.C. sparse yet satirical.O D. heroic and mythological. Which statement is punctuated correctly?Selena, started playing hockey, her favorite sport when she was seven because her older sister was a star goalie.Selena started playing hockey, her favorite sport when she was seven because her older sister was a star goalie.Selena started playing hockey, her favorite sport, when she was seven because her older sister was a star goalie.Selena started playing hockey her favorite sport, when she was seven, because her older sister was a star goalie. Which graph represents the function f(x) = |x + 3|? Which of the following is NOT a type of muscle?Question 19 options: The answer is "LONG" the rest are muscles.CardiacSkeletalLongSmooth Which version of the sentence below most clearly describes a nerve-wracking first day on the job? (5 points)As the door opened, I took in the cold, clean, clutter-free office of my new boss, an elderly gentleman with many gray haiI stood in the open door of the boss's office, frozen despite the butterflies doing acrobatics in the pit of my stomach.OOnce I had entered the office of my new boss, I felt the nervous tension ease a bit, though I was sure I was going trip.OdWhen I walked into my new boss's office, I felt nervous, but not so much so that I couldn't at least shake her hand, A theme of "Gumption" is that equal rights are often unequally distributed.How does old man Oyster's visit to the government relief office to fight for employment for his son contribute to this theme?His complaints are received with indifference and scorn, although both men are offered jobs as laborers.O His protests are met with accusations and arrest, despite the fact that he is a citizen and his son is well qualified.He receives a promise of employment for his son but later learns that the job has been given to someone less qualified.O He learns that in times of economic distress, employment opportunities become scarce for every citizen. meaning of rescinded