The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
a) Express the revenue R as a function of x. (remember, R= p.x)

b) What is the revenue if 200 units are sold?

c) What quantity x that maximizes the revenue?

e) What price should the company charge to maximize revenue?

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

We have:

p = -1/5x + 100 = -0.2x + 100

a) The revenue is:

R = px R = x( -0.2x + 100)R= -0.2x² + 100x

b) x = 200, find R:

R = -0.2(200²) + 100(200) = 12000

c) This is a quadratic function and the maximum value is obtained at vertex.

x = -100/(-0.2*2) = 250 is the required quantity

d) The max revenue is obtained when -0.2x + 100 at max:

The maximum possible is p = 100 when x = 0

Related Questions

what fraction is equal to 0.7

Answers

the equal fraction is 7/10

Step-by-step explanation:

it would be 7/10 and the steps are

step one identify the place value of the digits

step two use that determine what denominator of the fraction would be

step three remove the decimals point re write in the fraction

step four Express in terms of the lowest equivalent fraction

hope this helps

What is the area of the triangle? HELP ASAPPP

Answers

Answer:

10.5

Step-by-step explanation:

formula: B*H/2

6*3.2/2

Hope this helps!  *please mark me as brainliest :)

The measure of one EXTERIOR angle of a regular

polygon is 13.8 degrees. How many sides does it have?

Answers

The number of sides of the regular polygon is 26

The formula for calculating the exterior angle of a regular polygon is expressed as:

Exterior angle of a polygon = 360 ÷ number of sides.

Given the following:

Exterior angle of a regular polygon = 13.8 degrees

Required

Number of sides

Substitute the given parameters into the formula as shown:

Exterior angle of a polygon = 360/13.8

Exterior angle of a polygon = 26.08

This means that the number of sides of the regular polygon is 26

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x+2y-z=3 -2x-y+z=-1 6x-3y-z=-7
Write the ordered triple in terms of x

Answers

9514 1404 393

Answer:

  (x, y, z) = (x, x+2, 3x+1)

Step-by-step explanation:

We can add twice the second equation to the first to get ...

  [eq4] -3x +0y +z = 1

Adding the first and second equations gives ...

  [eq5] -x +y +0z = 2

Solving [eq4] for z gives ...

  z = 3x +1

Solving [eq5] for y gives ...

  y = x +2

Then the solution triple is (x, y, z) = (x, x+2, 3x+1).

please help find the area!!

Answers

Answer:

163.73

Step-by-step explanation:

Triangle area:

16x12 = 192cm²

Circle area:

pi(3²) = 28.27cm²

Difference in the area:

192-28.27 = 163.73cm²

divide 85/10 and 11/6​

Answers

Answer:

85/10 this is 8/1/2  and  11/6 this is 1/5/6

Step-by-step explanation:

im not sure if there right or not

Answers

They are both correct.

how do you turn 11 over 5 into a decimal problem​

Answers

Answer:

Just divide 11 by 5

Step-by-step explanation:

Which is 2.2

|-3.5d|= 15.4
Someone help asap!) djdjdjdjdjdidiiddididi

Answers

Answer:

easy

Step-by-step explanation:oklook

Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=−6
x=2
Choose the correct answer below.
A.
Perpendicular
B.
Neither
C.
Parallel

Answers

Perpendicular, they intersect at (2,-6) and form a 90 degree angle

Jacob helped his grandma peel potatoes for the family's dinner. His grandma peeled 4 times as many potatoes as Jacob peeled.If Jacob's grandma peeled 16 potatoes, how many potatoes did they peel altogether?

Answers

Answer: 20

Step-by-step explanation:

Jacob's grandma peeled 4 times as many potatoes as he did, so if she peeled  16, you would divide 16 by 4 and conclude that Jacob peeled 4 potatoes. Then, you would add the 4 potatoes that he peeled to her 16. Hope this helps!

Jacob and his grandmother both peeled 20 potatoes.

What is the ratio?

A ratio is a numerical comparison of two numbers. A ratio represents the proportion of one object to another.

Given, Jacob's grandmother peeled four times as many potatoes as he did, therefore if she peeled 16, divide 16 by four to get that Jacob peeled four potatoes. Then you'd add the four peeled potatoes to her 16.

potato peeled by Jacob's grandmother = 16

potato peeled by Jacob = 4

Total potatoes peeled = 16 + 4 = 20

Therefore both Jacob and his grandmother peeled the sum of 20 potatoes together.

Learn more about ratios here:

brainly.com/question13279963

#SPJ5

A lighthouse is 105 m above sea level. A boat observes
that the angle of elevation of the light is 3º. How far is
the boat from the point directly below the lighthouse to
the nearest ten metres?

Answers

It helps to draw a picture.

At the beginning of March, a store bought a leather couch at a cost of $960.70 and marked it up 20%. At the end of the month, the leather couch had not sold, so the store marked it down 25%. What was the discounted price?

Answers

Answer:

$864.63

Step-by-step explanation:

I hoped this helped:)

For each point, identify the axis or quadrant where the point is located. Drag and drop the choices into the boxes to complete the table. x-axis y-axis Quadrant I Quadrant II Quadrant III Quadrant IV (0.6),(5 -2),(-1 10),(5.0)(8.7.2.3)(-1/4 -6 1/2. PLEASE HELP I'LL GIVE YOU 31 POINT'S

Answers

Answer:ll

Step-by-step explanation:ik

I NEED HELP AND I WILL MARK YOU ON BRAINLIST.

Answers

Answer:

12 and 30

Step-by-step explanation:

HFC:

6

12

18

24

30

LCM:

30

60

-------

12

24

36

48

60

The price of a chair is AED 23 less than the price of a table. If three chairs and two tables cost AED 405. What is the price of the table?
Round your answer to a whole number.

Answers

A table is about AED 95:

Solve for x. (1 point)
-3x + 2b > 8
O -2b +8
x <
-3
Ox<
2b-8
-3
O
O
-2b-8
X>
3
28
-2b +8
-3

Answers

-3x + 2b > 8

---Subtract 2b from both sides

-3x > -2b + 8

---Divide both sides by -3. Remember that when multiplying or dividing by a negative in inequalities, we flip the inequality sign.

x < (-2b + 8) / -3

(Option 1)

Hope this helps!! :)


When a number N is rounded to the nearest ten, the result is 630, but when
N is rounded to the nearest hundred, the result is 600. What is N?
Find a number N that rounds to 20,000 when rounded to the nearest ten
thousand. What is the greatest value of N? Least value?

Answers

Answer:

N = 625 to 634N = 15000 or 24999

Step-by-step explanation:

Part 1

Let N = abc

If ab = 62 then c could be any number between 5 to 9, it will round up to 630If ab = 63 then c could be any number between 0 and 4, it will round down to 630Part 2N = 15000 ≈ 20000N = 24999 ≈ 20000

transposition
solve 2x=5
make x the subject​

Answers

Answer:

x=2.5

Step-by-step explanation:

Dividing both sides to make 2x, x:

2x/2 = 5/2

x = 5/2

Hence,

x=2.5

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Step-by-step explanation:

[tex]2x = 5[/tex]

[tex] \frac{2}{2} x = \frac{5}{2} [/tex]

[tex]x = \frac{5}{2} [/tex]

Evaluate the expression when b = 0.4.200b2−0.6÷bEnter your answer as a decimal in the box.

Answers

Answer:   its 150 i did the test

Step-by-step explanation:

Answer:

30.5

Step-by-step explanation:

I TOOK THE TEST AND IT WAS CORRECT IM FROM K12 BTW :D pls give me brainliest!

If you had 13 cookies and you gave and even amount to 4 friends would you have any cookies left over

Answers

Answer:

yes

Step-by-step explanation:

every person would get 3 and be 1 left.

Answer:

Yes

Step-by-step explanation:

If you gave each friend 2 cookies, then you gave away 8 and would have 5 left over.

Need help asap
What is 2/3 divided by 1/6 ?

A)3
B)4
C)4 1/12
D)4 1/2

Answers

The answer is for this mathematical equation is: B)4
2/3 divide by 1/6 is 4

Find the midpoint M of the line segment joining the points A = (-2, 8) and B = (-8, -4).

Answers

Answer:

M (- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A (- 2, 8 ) and (x₂, y₂ ) = B (- 8, - 4 ) , then

midpoint = ( [tex]\frac{-2-8}{2}[/tex] , [tex]\frac{8-4}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )

please answer this!!​

Answers

Answer:kqhnnvp

vj(]v] wbnr[fjAIJFP

B ":L

Step-by-step explanation:

The perimeter of a rectangular rose garden is 40 feet. The length of the garden is 5 more
than twice the width. Find the dimensions of the rose garden. (P=2L+2W)

Answers

Answer:

Step-by-step explanation:

Length and width of rectangular rose garden is 15 and 5 feet

Given that;

Perimeter of rectangular rose garden = 40 feet

Length of the garden = 5 more  than twice the width

Find:

Dimensions of the rose garden

Computation:

Assume;

Width of garden = a

So,

Length of the garden = 2a + 5

Perimeter of rectangle = 2[l + b]

40 = 2[2a + 5 + a]

40 = 2[3a + 5]

40 = 6a + 10

6a = 40 - 10

6a = 30

a = 5

Width of garden = 5 feet

Length of the garden = 2a + 5

Length of the garden = 2(5) + 5

Length of the garden = 15 feet

Learn more:

https://brainly.com/question/21982865?referrer=searchResults

Please answer correctly.^^

Thank you.

Answers

The length of SR is 17

2. the cost of a bunch of grapes at $1.19 per pound
The
depends on the
Independent variable:
Dependent variable:

Answers

Answer:

The cost depends on the grapes

Step-by-step explanation:

What is the value of the expression ………….


Help me

Answers

Answer:

-21

Step-by-step explanation:

(m*n)/p + ( -n )

4(9)/-3 + (-9) = (36/-3) - 9

-12 - 9 = -21

Please help me with this I will give lots of points

Answers

Answer:

y = -1/2x + 5

Step-by-step explanation:

x + 2y = 10

Step 1: subtract x from both sides.

you will get:    2y = -x + 10

Step 2: get the y by itself, you can do this by dividing 2 by both sides.

=  2y = -x + 10

     y = -1/2x +10/2

Then, 10/2 simplifies to 5.

So, your answer is: y = -1/2x + 5

Find (f o g)(x) and (g o f)(x). g(x) = x + 5 ; f(x) = 2x.

Answers

Answer:

The answers are

f

g

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=

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f

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Step-by-step explanation:

I search them on goggle..and that's the answer...

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