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
Gnom [1K]
2 years ago
10

See attachment for the full question

Mathematics
1 answer:
alexandr402 [8]2 years ago
3 0

The inverse of the demand function is; P = 9 - 0.25Q

The profit-maximizing price and quantity are; $8.5 and 2 units.

The maximum profit is; $1

<h3>How to find the inverse of a function?</h3>

A) The demand function we are given is;

Q = 36 - 4P

Making P the subject gives the inverse demand function;

P = (36 - Q)/4

P = 9 - Q/4

P = 9 - 0.25Q

B) The profit-maximization point is the point at which MR = MC.

MR refers to the marginal revenue and MC is the marginal cost.

MC can be calculated as the first derivative of the cost function:

C(Q) = 4 + 4Q + Q²

MC = C'(Q) = 2Q + 4

Total Revenue = Price * Quantity

Total Revenue = (9 - 0.25Q) * Q

Total Revenue = 9Q - 0.25Q²

MR is gotten by differentiating Total Revenue to get;

MR = 9 - 0.5Q

Applying the condition MR = MC, we have;

9 - 0.5Q = 4 - 2Q

Solving for Q gives Q = 2

Thus, profit maximizing quantity is 2.

Thus, profit maximizing price will be;

P(2) = 9 - 0.25(2)

P(2) = $8.5

C) Formula for Maximum Profit is;

Profit = Total Revenue - Total Cost

Total Revenue = 8.5 * 2

Total revenue = $17

Total Cost is;

C(2) = 4 + 4(2) + 2²

C(2) = $16

Thus;

Maximum Profit = 17 - 16 = $1

Read more about Inverse of a function at; brainly.com/question/13948067

#SPJ1

You might be interested in
What is the slope of a line passing through (3, 4) and (5,8)?
Licemer1 [7]

Answer:

2

Step-by-step explanation:

slope=\frac{y_2-y_1}{x_2-x_1} \\\frac{8-4}{5-3} =\frac{4}{2} =2\\slope=2

8 0
2 years ago
jane paid $40 for an item after she received a 20% discount. janes friend says this means that the original price of the item is
olga55 [171]
48x0.2= $9.6
$48-9.6=$38.40 Her friend is incorrect. 
40/48 =0.83 or about 83% So, in this case she only got 17% off. :)
<span>Hope I helped </span>
3 0
3 years ago
Screenshot with answers included A circle has a radius of 1 cm.
lora16 [44]
Area = \pi  r^{2} 
area =  \pi x 1 x 1 = \pi 

Circumference = 2\pi r
Circumference = 2 x \pi x1
Circumference = 2\pi 

The circumference is greater than the area


6 0
3 years ago
Enjoy!!! (Fun work I know)
leva [86]

Answer:

14% were running backs 43/50 were not running backs

Step-by-step explanation:

0.14=14%

--------------

1-0.14=0.86

50x0.86=43

5 0
3 years ago
Read 2 more answers
1.Which fraction is the ratio expressed in simplest form?
olganol [36]

1.  divide each number by 6 and you get 4:3  answer c

2. 1x+4x=45  (the ratios give you how many of each you have)

5x=45  so x=9  that is the smallest number

3.  percent means out of 100  so 490/100  4.9

4  percent means out of 100  so .5/100  5/1000  = .005

5 0
3 years ago
Other questions:
  • How do I solve this problem
    10·2 answers
  • A football coach sits on a sled while two of his players build their strength by dragging the sled across the field with ropes.
    15·1 answer
  • On level ground, a vertical rod 12 feet tall casts a shadow 4 feet long, and at the same time a nearby vertical flagpole casts a
    12·2 answers
  • The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)?
    10·2 answers
  • 25% of X<br> (a) 0.25x<br> (b) 0.25 / x<br> (c) 0.25 - x<br> (d) 0.25 + x
    10·2 answers
  • Devaughn's age is three times Sydney's age. The sum of their ages is <br> . What is Sydney's age?
    7·2 answers
  • Converting 30 pounds to ounces?
    7·2 answers
  • Plz help me plz real quick please​
    6·1 answer
  • Which equation represents a line passing through the points (8, 16) and (-1,-11)?
    8·1 answer
  • Question 10, 4.A.27
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!