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
4vir4ik [10]
3 years ago
13

Find the marginal and average revenue functions associated with the demand function P= -0.3Q + 221

Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

Answer:

Marginal revenue = R'(Q) = -0.6 Q + 221

Average revenue = -0.3 Q + 221

Step-by-step explanation:

As per the question,

Functions associated with the demand function P= -0.3 Q + 221, where Q is the demand.

Now,

As we know that the,

Marginal revenue is the derivative of the revenue function, R(x), which is equals the number of items sold,

Therefore,

R(Q) = Q × ( -0.3Q + 221) = -0.3 Q² + 221 Q

∴ Marginal revenue = R'(Q) = -0.6 Q + 221

Now,

Average revenue (AR) is defined as the ratio of the total revenue by the number of units sold that is revenue per unit of output sold.

Average\ revenue\ = \frac{Total\ revenue}{number\ of\ units\ sold}

Where Total Revenue (TR) equals quantity of output multiplied by price per unit.

TR = Price (P) × Total output (Q) = (-0.3Q + 221) × Q = -0.3 Q² + 221 Q

Average\ revenue\ = \frac{TR}{Q}

Average\ revenue\ = \frac{-0.3Q^{2}+221Q}{Q}

∴ Average revenue = -0.3Q + 221

You might be interested in
I need to understand the solution.
Anika [276]

Answer:

A

Step-by-step explanation:

Rules:

odd x odd = odd

even x even = even

even x odd = even

even + even = even

odd + odd = even

odd + even = odd

We can determine whether 2a + 3b is odd if we have both statements because we know that a is odd and 2 is even, which means their product will be even. 3 is odd and b is odd, so their product will be odd. The sum of the even and odd will be odd.

If we have just the second statement we can determine the answer because anything multiplied by 2 is even.

So whether or not we know if a is odd, we know that 2a is even because 2 doubles everything which means it's divisible by 2 which means it's even.

However, statement 1 alone is not enough because if a is odd, then 2a is even. However, 3b can be even or odd depending on b. If b is odd, then 3b is odd. if b is even, 3b is even.

Therefore, if you have statement 2 you can answer the question but if you only have statement 1 then you also need statement 2

4 0
3 years ago
I need help for this
notsponge [240]
A. quadrant 2
b. quadrant 4
c. quadrant 3
6 0
3 years ago
if the weight of a package is multiplied by 5/8 the result is 15 lbs. find the weight of the package.
lara31 [8.8K]
Let the weight be d
x*5/8=15
5x=15*8
5x=120
x=120/5
x=24
8 0
3 years ago
Find the area of the figure. (Sides meet at right angles.)
Debora [2.8K]
The area of the figure is 41 square feet. Hope this helps!
8 0
3 years ago
Each friendship bracelet requires
iris [78.8K]
6 feet of string. 2x3=6
5 0
3 years ago
Read 2 more answers
Other questions:
  • A vendor is using an 8ft by 8ft tent for a craft fair. The legs of the tent are 9ft y’all and the top forms a square pyramid wit
    15·1 answer
  • Ms.graves gave her class 12 minutes to read. Carrie read 5 1/2 pages in that time. At what rate, in oages per hour, did Carrie r
    6·1 answer
  • Write and solve an equation based off the verbal phrase <br> 6 more than x is equal to 33
    15·1 answer
  • What is 289.5 divided by 0.63
    10·1 answer
  • 6p to the 3rd power − 2p to the 2nd power − 8p
    10·1 answer
  • Answer to any question will be appreciated. If you can please explain to me how you got the answer :)
    7·1 answer
  • If yall wanna send a paragraph to yo girl/boy here
    5·1 answer
  • The table below shows how many triangles are formed when all the diagonals are drawn from one vertex in different regular polygo
    7·1 answer
  • Please help. I will give BRAINLIEST
    6·1 answer
  • On a plan with a scale of 1:50 a wardrobe shows up as 3cm long.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!