A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $14,000, and the variable cost for producing x pagers/week in dollars is represented by the function V(x). $ V(x) = 0.000001x^3 - 0.01x^2 + 50x $ The company realizes a revenue in dollars from the sale of x pagers/week represented by the function R(x). $ R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500) $ (a) Find the total cost function C. What is the profit for the company if 2,600 units are produced and sold each week?

Answers

Answer 1

Answer:

P=$-303,424

Step-by-step explanation:

given data

fixed cost= $14,000

variable cost function

[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]

revenue function

[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]

a. we know that total cost C=fixed cost plus variable cost

C=14000+0.000001x^3 - 0.01x^2 + 50x

[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]

profit is given as revenue minus the total cost

P=R(x)-C   (x=2600)

[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]

substitute x=2600

[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]

[tex]P=-135200+390000-(1400+17576-67600)[/tex]

[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]


Related Questions

A summer movie club charges a $30 membership fee and then $5 per movie. Which equation can be used to find y, the total cost of the movie club, if x represents the number of movies watched. *

Answers

30+5x=y
X being the movies watched and y being the initial fee

Answer:

B: y = 5x + 30

Step-by-step explanation:

Density is also the slope of the relationship between mass and volume. If the density 7.2 g /mL, what is the slope?

Answers

Answer:

The slope for the substance = 7.2 g/mL

Step-by-step explanation:

Given that the density is also the slope relationship between mass and volume and that the density is equal to 7.2 g/mL, therefore, the slope of the equation of the line relating mass to volume is also equal to 7.2 g/mL

The density = Mass/Volume = 7.2 g/mL

The slope of mass volume relationship = (The change in mass)/(The equal change in volume)

Whereby the change is from the zero state, we have;

The slope of mass volume relationship = (Mass - 0))/(Volume - 0) = Mass/Volume

Therefore;

The value of the slope of the substance = The value of the density of the substance = 7.2 g/mL

The value of the slope for the substance = 7.2 g/mL.

:)))) solve the following by factorizing: x^2-2x=120

Answers

Answer:

Step-by-step explanation:

[tex]x^2 - 2x = 120\\x^2 - 2x - 120 = 0[/tex]

We have to find the factors of 120 that can either add up to or have a difference of 2.

The factors of 120 are:

[tex]\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...[/tex]

The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:

[tex](x+10)(x-12)[/tex]

Two gears are both connected to the same belt. The smaller of the two gears has a radius of 4ft & the larger of the two gears has a radius of 7 ft. The larger gear is turning at a rate of 50 revolutions per minute. What is the angular velocity of the larger gear in radians/second? What is the angular velocity of the smaller gear in radians/second?

Answers

Answer:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]

Step-by-step explanation:

Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:

[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:

[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]

That gives

[tex]\omega_1 = \frac{100Rad}{60s}[/tex]

Which gives:

[tex]\omega_1 = \frac{5Rad}{3s}[/tex]

This is the angular velocity of the larger gear in rads/sec.

In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by

[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.

We are given the radius of the larger gear as 7ft so we have

[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]

To get the angular velocity of the smaller gear, we use

[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.

Since linear velocity is the same, we have

[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]

[tex] \omega_2 = \frac{35Rad}{12s}[/tex]

SOMEONE HELP ASAP i’ll give brainliest

Answers

Answer:

which question is it ??

find the y intercept

Answers

Answer:

(0,12)

Step-by-step explanation:

As you can see from the chart, when x increases by 10, y increases by 20. We can assume that because of this porportional relationship, when x increases by 1, y will increase by 2. We're looking for the y-intercept, in other words we need to get x to 0. So if we subtract x by 16, we must take 32 away from 44(the y-value), because of this porportional relationship.  That gets us an x value of 0, and a y value of 12. (0,12) would be the y-intercept.

PLEASE HELP
1. Select ALL expression(s) has a value less than 4?
A) |-8|
B) |6|
C) -10
D) |-2|

Answers

B is the right answer
The correct answers are C and D. When a negative number has an absolute value the number turns positive

|-2| means that it’s 2 units away from 0. -10 is also less than 4. |-8| is 8 and |6| is 6 which are both higher than 4. Thus, the correct answers are C and D.

Help please and thanks

Answers

Answer:

No, it is not function. The answer is the last option in the multiple choice sequence.

Step-by-step explanation:

What is a one-hundred sided polygon called? Why?

Answers

Hectogon

In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon's interior angles are 17640 degrees.

Step-by-step explanation:

ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.

O 1/2
O 1
O 2
O None of the above

Answers

Answer: is 1/2

Step-by-step explanation:

2x/25 = 0.4/0.15. Please Help.

Answers

Answer:

x = 1.335

Step-by-step explanation:

2x = 10/3.75

2x = 2.67

x = 1.335

How do I solve this equation and find the solutions?

Answers

Answer:

x = 10

Step-by-step explanation:

x-sqrt(2x+5) = 5

2x+5 = 25-10x+x^2

x = 10

Hope this helped!

Answer:

x = 5

Step-by-step explanation:

x - 5 = [tex]\sqrt{2x+5}[/tex] ( x > 5)

(x - 5)² = ( [tex]\sqrt{2x+5}[/tex] )²

x² - 10x + 25 = 2x + 5

x² - 12x + 20 = 0

(x - 10)(x - 2) = 0

[tex]x_{1}[/tex] = 10

[tex]x_{2}[/tex] = 2 strange root, does not satisfy the condition x > 5 ( 2 - [tex]\sqrt{2*2+5}[/tex] ≠ 5 )

10 - [tex]\sqrt{2*10+5}[/tex] = 5

10 - 5 = 5

5 = 5

help me out!!
what is the area of the figure to the nearest hundredth

Answers

It’s 19.72 square feet. I showed my work below :) hope this helped!

Please please please please please help- will give brain

Answers

Answer:

Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.

Step-by-step explanation:

Graph them onto a graphing calculator. Let me know if you need more help!

please help and thanks!

Answers

The answer is table g

What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°

Answers

A. 60

Step-by-step explanation:

ZA + ZB + ZC = 180°

180° ÷ 3 = 60°

A. 60°

its an equilateral bc all the sides are the same, meaning that all of the angles would be equal. all triangles add up to 180°, and 60 times 3 is 180°

n/2 - 2 > 1
solve for N

Answers

Answer:

n>6

Step-by-step explanation

add two to both sides so far its n/2>3

multiply both sides by 2

n>6

rewrite the equation by completing the square x^2-2x+1=0

Answers

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

Factor x^3 - 6x^2 + 11x - 6 with steps shown

Answers

Factor the expression

3−2−52+5+6=0

) Which property is used in the following expression ? (axb) x C = ax (b x) A. Distributive Property B. Associative Property of Multiplication C. Associative Property of Addition D. Commutative Property of Addition​

Answers

Answer: Associative Property of Multiplication

Find the difference.
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =

Answers

Answer:

Step-by-step explanation:

(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =

-x^5+7x^3+11x^2+10x-4

what is vertibrates​

Answers

It is basically an animal which has a backbone that protects the spinal cord.

Which of the following angles are supplementary to _1?

Plsss Help

Answers

Angle 8 because supplementary is two angles whose sum is 180°.
It’s 8 because I did this in high school :)

2 3/4 divided by 1 1/2

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1 5/6

Step-by-step explanation:

Please help with this question. Thank you

Answers

12^2 + 5^2 = c^2
144+25=169
c=13m

xy+xw+2ay+2aw
factorise this sum

Answers

Answer:

(y+w)(x+2a)

Step-by-step explanation:

im built different

Answer:

(x+2a)(y+z)

Step-by-step explanation:

x(y+z)+2a(y+z)

(x+2a)(y+z)

pls give two answers for good measure

Answers

Answer:

2nd answer choice.

Step-by-step explanation:

The inequality is x-5 greater/equal to -2 which if you simplify gives you x>= 3 and since the second answer choice has a filled-in dot which means equal to and the arrow goes to the right which means greater than.

Step-by-step explanation: To solve for x in this inequality,

your goal is the same as it would be if you were solving an

equation, to get x by itself on one side.

Since 5 is being subtracted from x, add 5 to both sides of the inequality.

On the left, the -5and +5 cancel out and on the right, -2 + 5 is 3.

So we have x ≥ 3.

When graphing, start with a closed dot at +3 because x is

not just greater than +3, it's equal to it as well.

Then draw an arrow to the right, like I have done below.

What is the solution to this equation? Show your work. -7n + 29 = -5(n - 7)

Answers

-7n + 29 = -5(n - 7)
-7n + 29 = -5n + 35
-7n + 5n = 35 - 29
-2n = 6 —> divide by 2
2 2 = (n= -3 <— answer )

.
The sale price of a necklace was $77. It had been marked down 30 percent for the sale. What was the original price of the necklace?

Answers

Answer:

List Price = $ 110.00

Discount Amount = $ 33.00

If you have two points, you can only pick the first one to find the equation.

True

False

Answers

Answer:

well, it really depends but im pretty sure its false. you can start with either one and find the equation

Step-by-step explanation:

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