answer.
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
Andreas93 [3]
1 year ago
7

Assume that a demand equation is giben by q = 7000-100p. Find the marginal revenue for the given production levels (levels of q)

. (Hint: Solve the demand equation for p and use R(q) = qp)
A. 1500 units (simplify answer)

B. 3500 units (simplify answer)

C. 6500 units (simplify answer)
Mathematics
1 answer:
nata0808 [166]1 year ago
4 0

Answer:

Option B.

Step-by-step explanation:

The demand function is

q=7000-100p

where p is price.

Solve the demand equation for p.

100p=7000-q

p=\dfrac{7000-q}{100}

The revenue function is

R(q)=qp

Substitute the value of p in the above function.

R(q)=q(\dfrac{7000-q}{100})

R(q)=\dfrac{7000q-q^2}{100}

Differentiate with respect to q.

R'(q)=\dfrac{7000-2q}{100}

Equate R'(q)=0,

\dfrac{7000-2q}{100}=0

7000=2q

Divide both sides by 2.

3500=q

Therefore, the correct option is B.

You might be interested in
A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p?
Kobotan [32]
Here is a formula that you would use to find the total cost of an item that includes tax
(p × 0.07) + p 
5 0
1 year ago
Read 2 more answers
Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population for the fish of that species
LUCKY_DIMON [66]

Answer:

2.30 years

Step-by-step explanation:

The number of fish tripled in the first year, making a total of 240 * 3 = 720 fishes.

(a) The formula for logistic equation is as the following

P = P_0e^{kt}

where P0 = 240 is the number of fishes initially, we can plug in P = 720 and t = 1 to calculate the constant k

720 = 240e^{1k}

e^k = 3

k = ln3 = 1.1

b) Using the following formula

P = P_0e^{kt}

with P = 3000, P0 = 240, k = 1.1, we can calculate the number of years it takes to get to 3000 fishes

3000 = 240e^{1.1t}

12.5 = e^{1.1t}

1.1t = ln12.5 = 2.53

t = 2.30 years

6 0
2 years ago
Solve the system of equations. -9Y +4X -20 =0<br> -7Y +16 X -80 =0<br> X=<br> Y=
Fofino [41]

Answer:

X=5, Y=0

Step-by-step explanation:

-9Y +4X -20=0

-7Y+16X-80=0

1. We can multiply the first equation by 4. This will equal to -36Y +16X-80=0.

-36Y +16X -80 =0

-7Y+16X-80=0

2.  We can subtract these two equations.

-36Y +16X -80 =0

-7Y+16X-80=0

We will get -29Y =0. Y=0.

3. Then we can substitute y into the first equation. -9(0) +4x-20 =0. 4x=20. x=5

X=5, Y=0

3 0
1 year ago
Randy collected 30 signatures from fifth grade students at his school. He noticed that 3/5 of the signatures were done in pencil
inna [77]

Answer:

18 signatures

Step-by-step explanation:

Take the total number of signatures and multiply by the fraction that were done in pencil to determine the number done in pencil

30 * 3/5

90/5

18

3 0
1 year ago
Read 2 more answers
Carlos purchased an antique chair for $15 he later so this year for $27 to an antique dealer what was the percent markup of the
Rama09 [41]
Okay. So, to find the percent change, we have to do change/original. In this case, it would be 12/15, because 15 and 27 are apart by 12. 12/15 is 0.8. Multiply that by 100 and you get 80. There was an 80% markup of the chair sold to the antique dealer.
6 0
2 years ago
Read 2 more answers
Other questions:
  • An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each
    6·2 answers
  • If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years.
    14·1 answer
  • A dog on intravenous fluids has received 40% of the 1000 mL initially in the i.v. bag. How many mL has it received?
    6·2 answers
  • Manny is making 12 quarts of orange juice from concentrate and water. The number of quarts of water is 3 times the number of qua
    5·1 answer
  • A turtle walks 7/8 of a mile in 50 minutes. What is the unit rate when the turtle’s speed is expressed in miles per hour?
    10·2 answers
  • A repairman charges $18 per hour to repair appliances plus $0.27 per mile to drive to the house and back. It took the repairman
    6·1 answer
  • Determine the mean of the following numbers: 28,40,53,39,45
    14·2 answers
  • What is the true solution to the logarithmic equation below? log Subscript 4 Baseline left-bracket log Subscript 4 Baseline (2 x
    9·2 answers
  • Solve for the equation -2y+y-3 = 6
    7·1 answer
  • Malik's arts and crafts shop have a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!