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
romanna [79]
3 years ago
14

A firm has a fixed cost of $500 in its first year of operation. When the firm produces 100 units of output, its total costs are

$3,500. When it produces 101 units of output, its total costs are $3,750. What is the marginal cost of producing the 101st unit of output? a. $250 b. $275 c. $340.91 d. $350
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

option (a) $250

Step-by-step explanation:

Data provided in the question:

Fixed cost = $500

For 100 units produced Total cost = $3,500

For 101 units produced, Total cost = $3,750

Now,

Marginal cost is calculated as:

Marginal cost = \frac{\textup{Total change in cost of producing more goods}}{\textup{Total change in produced goods}}

thus,

Marginal cost = \frac{\textup{Total cost of 101 units - Total cost of 100 units}}{\textup{101-100}}

or

Marginal cost = \frac{\textup{3,750-3,500}}{\textup{1}}

or

Marginal cost = $250

Hence,

The correct answer is option (a) $250

You might be interested in
What is the next term of the geometric sequence?<br> 32, 16,8,
Stells [14]

Answer:

4

Step-by-step explanation:

the pattern is halfing the umber

8 0
3 years ago
Read 2 more answers
What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 − x^2? show your
LUCKY_DIMON [66]

Answer:

Option B.

Step-by-step explanation:

The given curve is

y=27-x^2

We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y=27-x^2.

Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y) .

Length of the rectangle = 2x

Width of the rectangle = y

Area of a rectangle is

Area=Length\times width

Area=2x\times y

Substitute the value of y from the given equation.

Area=2x(27-x^2)

A=54x-2x^3      .... (1)

Differentiate with respect to x.

\frac{dA}{dx}=54-6x^2

Equate \frac{dA}{dx}=0, to find the critical points.

0=54-6x^2

6x^2=54

Divide both sides by 6.

x^2=9

x=\pm 3

The value of x can not be negative because side length can not be negative.

Substitute x=3 in equation (1).

A=54(3)-2(3)^3

A=162-54

A=108

The area of the largest rectangle is 108 square units.

Therefore, the correct option is B.

7 0
3 years ago
Ax-bx+y=z solve for x​
Vladimir [108]

Answer:

This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:

ax - bx = z - y

Then, we take x out as it is being multiplied to both a and b:

x(a - b) = z - y

Dividing (a - b) on both sides, we get:

x = (z - y) / (a - b)

Thus, the answer is x= z-y/a-b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Let $\mu$ and $\sigma^2$ denote the mean and variance of the random variable x. determine $e[(x-\mu)/\sigma]$ and $e{[((x-\mu)/\
Nezavi [6.7K]
\mathbb E\left(\dfrac{X-\mu}{\sigma}\right)=\dfrac1\sigma\mathbb E(X)-\dfrac\mu\sigma=\dfrac{\mu-\mu}\sigma=0

\mathbb E\bigg(\left(\dfrac{X-\mu}\sigma\right)^2\bigg)=\dfrac1{\sigma^2}\mathbb E\left(X^2-2\mu X+\mu^2\right)=\dfrac{\mathbb E(X^2)-2\mu\mathbb E(X)+\mu^2}{\sigma^2}
=\dfrac{\mathbb E(X^2)-2\mu^2+\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mu^2}{\sigma^2}=\dfrac{\mathbb E(X^2)-\mathbb E(X)^2}{\sigma^2}
=\dfrac{\mathbb V(X)}{\sigma^2}=\dfrac{\sigma^2}{\sigma^2}=1
3 0
4 years ago
a teacher had 21 red pens. if the ratio of red pens to blue pens owned was 3:1 how many pens did she have in total
Mariulka [41]
If the ratio of red to blue pens is 3:1, we can find the amount of blue pens by multiplying by 1/3, to get 21*1/3=7.  There are 21 red pens and 7 blue pens, so there are 21+7=28 pens total.
6 0
3 years ago
Other questions:
  • Describe the following variation: y/x2=5
    6·1 answer
  • The average person lives for about 78 years. Does the average person live for at least 1,000,000 hours There are 365 days in eac
    11·1 answer
  • What's 18 over 83 in simplest form?
    6·1 answer
  • Please help me with this
    12·1 answer
  • Write an expression to represent: Eight more than the product of two and a number xxx.
    6·1 answer
  • Which is greater ? -9/13 and-7/12 or. -8/9 and -9/10​
    6·2 answers
  • The pie chart shows how 36 pupils<br>​
    12·1 answer
  • Y−4=7(x−6) what is the ordered pair solution for this problem
    12·1 answer
  • Janet can make 4/5 of a necklace in 20 minutes at this straight how many necklaces to the nearest 10th of a necklace can Janet m
    5·1 answer
  • What is 6x+12+18=180 what is x
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!