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
11Alexandr11 [23.1K]
3 years ago
5

The demand function for a product is modeled by p = 400 − 4x, 0 ≤ x ≤ 100, where p is the price per unit (in dollars) and x is t

he number of units. (a) Determine when the demand is elastic and inelastic. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)
Mathematics
1 answer:
lawyer [7]3 years ago
4 0

Answer:

Demand is Elastic when Price > 200 ; Demand is inelastic when Price < 200

Step-by-step explanation:

p = 400 - 4x

4x = 400 - p

x = (400 - p) / 4 → x = 100 - p/4

Elasticity of demand  [ P ed ] = (Δx / Δp) x (p / x)

Δx / Δp  [Differentiating x w.r.t p]  = 0 - 1/4  → = -1/4

P ed =  <u>-1</u> x<u> p </u>

            4   (400 - p)/4

= <u>-1</u> x <u> 4p </u>              = -p / (400-p)

  4   (400 - p)

Price Elasticity of demand : only magnitude is considered, negative sign is ignored (due to negative price demand relationship as per law of demand).

So, Ped = p / (400 - p)

Demand is Elastic when P.ed > 1

p / (400-p)  > 1

p > 400 - p

p + p > 400  → 2p > 400

p > 400 / 2 →  p > 200

Demand is inelastic when P.ed < 1

p / (400-p)  < 1

p < 400 - p

p + p < 400  → 2p < 400

p < 400 / 2 →  p < 200

You might be interested in
Jessie had a piece of cardboard that is 8.5 inches by 11 inches. She makes a picture frame with the cardboard box by cutting out
velikii [3]
I could be very wrong, but I believe the answer is C
4 0
3 years ago
Read 2 more answers
What is c ? <br><br> enter the answer in the box
goldenfox [79]

Answer:

C = 86 degrees

Step-by-step explanation:

x = 10

4 0
3 years ago
Which property explains how we get the equation shown in step 2? Given: -5(x -4) - 20 = -15 Step 1: -5x + 20 -20 = -15 (Distribu
Talja [164]
Step 2: <span>Inverse Property of Addition
</span><span>any number added to its opposite will equal zero
</span>in this case + 20 - 20 = 0

answer
Inverse Property of Addition
8 0
3 years ago
Read 2 more answers
Landon is driving at a constant speed of 55 miles per hour. At hat rate, how long will it take him to drive 275 miles?
Elza [17]

Answer:

5hours

Step-by-step explanation:

At constant speed, distance speed= distance/time taken

therefore, time will be obtained by the division of distance traveled by the speed.  

in this question the distance is provided but time is not hence time is calculated as follows. time= distance/time taken

                            =275miles/55miles/hour

                            = 5hours

5 0
2 years ago
Read 2 more answers
WILL GIVE 30 points. The GRE is an entrance exam that many students are required to take in order to apply to graduate school. I
Afina-wow [57]

Answer:

The answer is 0.0228. Have a good day!

8 0
2 years ago
Read 2 more answers
Other questions:
  • Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After 444 hours, he had 350350350 page
    10·1 answer
  • The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y ≤ −2x + 10 y &gt; 1 over
    8·1 answer
  • Please help me i don’t understand
    9·2 answers
  • Please help!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • How to solve for P in a compound interest formula?
    14·1 answer
  • Please help me I have to turn this in by 5:00 I will give you the brain thing and extra points. 2/5
    13·2 answers
  • Does the mapping represent a function? Explain why or why not.
    13·1 answer
  • One of the tokens for a board game is a circle containing 5 congruent triangles, as modeled below.
    10·2 answers
  • I need help with this question ASAP!
    15·1 answer
  • Part A: Nails by Nina sells nail polish in a package of three for $21.88. If Nina purchased the polish trio packs for $14 each,
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!