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
Likurg_2 [28]
3 years ago
5

Learning outcome: Solve a linear system of equations in two and three variables using algebraic methods. Read and solve word pro

blems by modeling them with systems of linear equations. Activity: Let p represent the selling price for a bluetooth device. Suppose that the demand equation for this device can be modeled as the linear function D(p) = 200- 5p and that the supply equation for the same device as S(p) = 10p. Find the equilibrium price and quantity for this device keeping in mind that at market equilibrium demand equals supply.
Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer: Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

Step-by-step explanation:

Since we have given that

Demand function is stated as

D(p)=200-5p

Supply function is stated as

S(p)=10p

We need to find the equilibrium price and quantity for this device.

For equilibrium, D(p) = S(p).

so, it becomes,

200-5p=10p\\\\200=10p+5p\\\\200=15p\\\\p=\dfrac{200}{15}\\\\p=\$13.33

and when we put the value of p in any function:

Q=10\times 13.33=133.3\ units

Hence, Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

You might be interested in
Evaluate the expression when a = –1.4 and b = –2.7.     |a| + b
s344n2d4d5 [400]
For the first one the answer is B
6 0
3 years ago
Read 2 more answers
In Lily's garden, there are 5 rose bushes the first year. Each year, she adds two new rose bushes. She
aniked [119]

Step-by-step explanation:

Let x = the number of years since the first year and let y = the total number of plants.

Roses: y = 5 + 2x

Tulips: y = 20 – 3x

You can use elimination to solve.

y = 5 + 2x

(-)y = 20 – 3x

0 = -15 + 5x

15 = 5x

3 = x

This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.

The graphs appear to

intersect at (3, 11) which verifies that x=3

7 0
3 years ago
Read 2 more answers
What is the inequality shown?
Lady bird [3.3K]

It shows the interval

[-2,8) or -2≤x<8

7 0
2 years ago
What are some ways in which companies can attract and retain employees? (site 2)
slava [35]
The company can offer a variety of benefits not inly for the employee but also for the family. 
7 0
3 years ago
Read 2 more answers
Find the slope of the line that contains the following points. e(5,7), f(3,1)
Amanda [17]
Look up online "equation calculator" and it should be the first one to appear, "Symbolab" supper easy way to help you with problems!
3 0
3 years ago
Other questions:
  • We want to place a bench measuring 7.05 feet in the center of a platform that is 40.75 feet long. What is the distance from each
    6·1 answer
  • 138) Amanda and Jenny are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of ora
    9·1 answer
  • A teacher is monitoring how often students visit the website of the course during the day. She finds the following probability d
    9·1 answer
  • A biased dice is rolled and the results are recorded in a table
    6·2 answers
  • Joe and his 2 friends are making Smores. Each Smore uses 1/4 of a chocolate bar and the package has 8 chocolate bars. How many S
    7·1 answer
  • Can u guys answer this quick question plssss WILL GIVE BRAINLIEST
    7·2 answers
  • Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture?
    10·1 answer
  • Jeanie bought a book for $8.98, a pen for $3.27 and a ruler for $1.50. if the sales tax on each of the items is 8%, what is the
    5·2 answers
  • 12. What fraction is equivalent to 0.5?
    6·2 answers
  • I need help this is geometry
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!