1. Suppose C(x) is a function representing the cost(in dollars) of producing x units energy, and R(x) is a function representing the revenue (in dollars) of selling x units of energy. Suppose further that both functions are continuous for all x > = 0. A. Is there necessarily some x value, let's call it C, that will maximize profit over all x = 0? Explain your answer. B. Suppose we know we can't produce more than 1,000 units of energy. Is there necessarily some x-value, call it C, that will maximize profit over the interval [0,1000]? Explain your answer. C. Again, assume that we can't produce more than 1,000 units of energy. Is there necessarily some x value, let's call it C, for which the profit is exactly 0? Explain your answer.​

Answers

Answer 1

Answer:

A.   Yes, there is a value that will maximize the profit overall x values. This is true when the functions C(x), R(x), and P(x) are often defined only for non-negative integers, that is, for x = 0, 1, 2, 3... . The reason is it is not logical to speak about the cost of producing −1 cars or the revenue generated by selling 3.62 refrigerators. Thus, each function may give rise to a set of discrete points on a graph.

The formulas for these questions are:

C(x) = cost of producing x units of the product

R(x) = revenue generated by selling x units of the product

P(x) = R(x) − C(x) = the profit (or loss) generated by producing and (selling x units of the product.)

B.  No, there is not an x-value that will maximize the profit over [0,1000]. This is true since 1,000 is the horizontal asymptote, which means that the line of the graph keeps traveling with the HA until the profits drop since we cannot produce anything more than 1,000 units of energy per day. The graph of this problem would be a horizontal asymptote at y = 1,000. The line of the graph would start at zero and increase until it reaches the asymptote at 1,000 and continues towards infinity.

C.  Yes, there is an x-value that is exactly zero. This is true because zero is our starting point in our profits. The x and y value would be (0,0) as we have just begun to produce energy units. Once the graph starts to increase, we cannot have a point at exactly zero, unless the profits have a dramatic drop to the x value of 0. This would then be (0, at a number of diminishing returns)


Related Questions

If there is a 75 x 50 hardwood top and bottom rail in this fence to connect the posts, how many 5.4 m long lengths of timber rail are needed to build the fence? No. of lengths 05 -​

Answers

Answer:

3,750

Step-by-step explanation:

because you need to do 7 * 75 * 50 and you will get the answer but it will be 3007 715 so that would be 7 3750h fences

multiplacation of fractions
c solve (3/9) (-2/3) =

explain​

Answers

Step-by-step explanation:

(3/9) × (-2/3

=> {3×(-2)}/(9×3)

=> (-6/27). Ans.

Or

(3/9) × (-2/3)

=> -2/9 Ans.

Find the measure of side IJ

Answers

Answer:

IJ units

Step-by-step explanation:

What else is there..?

solve pls brainliest

Answers

Answer:

2n-61

twice a number means 2 x n

61 less is just subtracting 61

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]2n - 61[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Twice a number means that a number would be multiplied two times. '61 less than XYZ' means that 61 would be taken away from XYZ.

⸻⸻⸻⸻

"61 less than twice a number" would be: 2n - 61

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

most people lose 100 to 200 hairs per.day if you were to.lose 150 hairs per day for 10 days what would be the change in the numbers of hair you have​

Answers

Your cutting the numbers in half

how do you write the equation 5x-7y=2x-7

Answers

Answer:

I suppose you want the answers for x and y, so here they are. x=-7/3, while y=1.

Step-by-step explanation: I just factored depending on the variable I mainly focused on.

Here is a table of daily births of babies (per 100,000 people) for 12 of the most populous states in the US.



State

Daily births (per 100,000 people)

California

292

Texas

556

New York

288

Florida

28

Illinois

299

Pennsylvania

135

Ohio

193

Georgia

334

Michigan

239

North Carolina

130

New Jersey

214

Virginia

27



Assume that σ = 216.83 for the entire population of the United States. Calculate the standard error.

Answers

Answer:

uhhhh can you simplify better and show the actual graph

Step-by-step explanation:

Dan is 2 times the age of Thomas the sum of ages is 75 what is thomas age

Answers

Answer:

25

Step-by-step explanation:

thomas age = x

2x + x = 75

3x = 75

x = 25

Answer: Dan is 50, Thomas is 25

Step-by-step explanation: 75 divided by 3 = 25. 75 - 25 is 50

Math Question For Math00999

Answers

the answer is y = -4/5x

convert the following numbers from base 10 to base 2
1256
10988

Answers

Answer:

Steps To Convert From Base 10 to Base 2-

Divide the given number (in base 10) with 2 until the result finally left is less than 2.

Traverse the remainders from bottom to top to get the required number in base 2.

Hope this helps you get the answers!

Given the points (7, 6) and (-3, -4) find the slope.

Answers

the slope is y = x – 1 !!! you can find this by using the formula y2-y1/x2-x1 . but if ur lazy u can just use calculator.net’s slope calculator :)

How do you do
24 divided by 0.012

Answers

Answer:

24 ÷ 0.012 =2000

Step-by-step explanation:

24 ÷ 0.012

= 2000

20x^{2} +124x+24[/tex]

Answers

Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:

Given:

[tex]20x^{2} +124x+24[/tex]

To find:

solve the given problem

Solution:

[tex]\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{4((x+6)(5x+1))}[/tex]".

Learn more:

brainly.com/question/10755001


Let f(x)=x^2-4 and h(x) =x-5 find (f-h) (2)​

Answers

9514 1404 393

Answer:

  (f -h)(2) = 3

Step-by-step explanation:

(f -h)(2) = f(2) -h(2) = (2^2 -4) -(2 -5) = 0 -(-3)

(f -h)(2) = 3

Simplify by rationalizing the denominator.
(4√15)/√5

Answers

I personally believe the answer would be 20 square root 3

The simplified form of the numerical expression (4√15) / √5 will be 4√3.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The ratio is given below.

⇒ (4√15) / √5

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ (4√15) / √5

⇒ [4 × √(3 x 5)] / √5

⇒ (4 × √3 × √5) / √5

⇒ 4 × √3

⇒ 4√3

The simplified form of the numerical expression (4√15) / √5 will be 4√3.

More about the value of the expression link is given below.

brainly.com/question/23671908

#SPJ5

PLS HELP WILL MARK BRAINLIEST!! TY

Answers

Answer: x=23

Step-by-step explanation:

180=(3x+18)+93

x=23

Answer:

x = 23°

Step-by-step explanation:

(180° - 93° - 18°) ÷ 3 = (87° - 18°) ÷ 3

= 69° ÷ 3

= 23°

your welcome :)

Good Stuff is giving away free pens to each of the first 500 people who come in the store today. In the first hour, they gave away 30% of the pens. How many is this?

Answers

Answer:

150 pens given away

Step-by-step explanation:

10% of 500 is 50

50x3=150

500-150=350


PLEASE HELP ASAP

⭐️WILL GIVE BRAINLEST⭐️

Answers

Answer:

First number is 63

Second is 5

Last is 6

Step-by-step explanation:

First mutiply both sides by 9:

9(5/9x + 7 = 2/3)

Then simplify:

5x + 63 = 6

For your layout it is:

63 + 5x = 6

HELP IM GIVING 20 BRAINLEIST PLZZZ

Answers

Answer:

oh no I don't no the answer boss and

I have a idea to solve this

kanna Sprite kudi answere yosi

Answer:

f(0) = -1

f(1) = 2

f(2) = 4

Step-by-step explanation:

umm math

Given the function
7x + 6 x < 0
f(x)
7x + 12 x > 0
Calculate the following values:
f(-1) =
f(0) =
f(2)=
Hanum

Answers

[tex]\left \{ {{7x+6\:\:\:\:\:\:x<0} \atop {7x+12\:\:\:\:x\geq 0}} \right.[/tex]

[tex]f(-1)[/tex]

Solve

[tex]-7\cdot \:1+6x<0[/tex]                          Swap the negative sign

[tex]-7+6x<0[/tex]                               Multiply the numbers

[tex]-7+6x+7<0+7[/tex]                  Add 7 to both sides

[tex]6x<7[/tex]                                       Simplify

[tex]\frac{6x}{6}<\frac{7}{6}[/tex]                                       Divide both sides by 6

[tex]x<\frac{7}{6}[/tex]                                        Simplify

[tex]-7\cdot \:1+12x<0[/tex]                     Swap the negative sign

[tex]-7+12x<0[/tex]                          Multiply the numbers

[tex]-7+12x+7<0+7[/tex]              Add 7 to both sides

[tex]12x<7[/tex]                                   Simplify

[tex]\frac{12x}{12}<\frac{7}{12}[/tex]                                  Divide both sides by 12

[tex]x<\frac{7}{6}[/tex]                                      Simplify

Estimate -4 2/3 x (2 1/4) + 3 5/6

Answers

Step-by-step explanation:

[tex] \tt{} - 4 \frac{2}{3} \times (2 \frac{1}{4} ) + 3 \frac{5}{6} [/tex]

[tex]\tt{} - \frac{14}{3} \times \frac{9}{4} + \frac{23}{6} [/tex]

[tex]\tt{} - 7 \times \frac{3}{2} + \frac{23}6[/tex]

[tex]\tt{} - \frac{21}{2} + \frac{23}{6} [/tex]

[tex]\tt{} - \frac{20}{3} [/tex]

[tex]\tt{} - 6 \frac{2}{3} [/tex]

6+(-4 3/4)+(-2 1/8)
Fraction in simplest form

Answers

Answer:

6-43/4-21/8

6(-68-21/8)

48-107/8

-59/8

Can someone help with a step by step?

Answers

Answer:

Pick option a and then write this in the box --> x^3(x - 1) (x - 83)

Step-by-step explanation:

x^5 − 84x^4 + 83x^3

= x^3(x - 1) (x - 83)

Answer:

x^3(x - 1) (x - 83)

Step-by-step explanation:

option a

PLEASE HELP
will mark brainliest

Answers

Answer:

f(x) = x - 2

Step-by-step explanation:

If you notice, the f(x) or y value is 2 less than the x value for every x value listed. This means that x - 2 = y. Just by rearranging this equation, you are given an equation in the linear form y = mx + b:

y = x - 2

Since the y coordinate is being represented by f(x) in the equation, as it is a function, the answer would be:

f(x) = x - 2

PLEASE HELP ITS MATH THANK YOUUUU HURRY

Answers

Answer:

3 miles

Step-by-step explanation:

2 divided by 2 is 1 and 6 divided by 2 is 3.

Robert played baseball 14 times. Each time he played, he used 4 yellow balls and 3 white balls

Answers

What's the question?
no question? that’s just a statement

Which equation has the correct sign on the product?

O A. (-9)(-8)= -72
O B. 35(-5) = -175
O C. 13.3 =-39
O D. (-15)4 = 60

No links plsss:()

Answers

Answer:

B

Step-by-step explanation:

(+)x(-)=(-)

(-)x(-)=(+)

Which graph represents the System of inequalities shown below? y < -2x + 2
y > x - 1

Answers

Answer:

The second one (Top right)

You already got it. Left bottom

Write an equation that expresses the relationship. Use k as the constant of variation.

x varies inversely as m.

Answers

Step-by-step explanation:

x = k/m

hope this helps. good luck!

Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.751 gallon of rainwater.

What was the total amount of rainwater that Kyle collected last week?

Answers

Answer:

2.211 gallon of rainwater

Step-by-step explanation:

1.46 gallon + 0.751 gallon = 2.211 gallon

Other Questions
Chronic pain, high blood pressure and immune system disorders may all be linked to:A. Chronic stressB. Poor dietC. Temporary sedentary lifestyle D. Age What role does the capsid play in viral reproduction? (1 point)The capsid copies the viral DNA.The capsid ends the lysogenic cycle.The capsid copies the host cells DNAThe capsid attaches to the cell membrane. The coordinates of the vertices of ABC are A(3, 3), B(7,7), and C(7, -1) What type of triangle is triangle ABC? Use coordinate geometry to answer the question. Suppose you drive a car 156 miles on one tank of gas. The tank holds 12 gallons of gas. (Assume the car travels the same distance for each one gallon of gas)The number of miles traveled varies directly with the number of gallons of gas you use.a. Write an equation that relates miles traveled to gallons of gas used. (Use any variable you like in the equation.b. How far can you drive with 3.7 gallons of gas? (Make sure to show the calculations you did to determine this answer)I will give branliest, thanks so so much. How many Texans fought against the Mexican troops at the Battle of the Alamo?A) 9B) 73C) 189D) 2000 See question in image. A copper atom has an atomic number of 29 and an atomic mass of 64. Whatis the structure of this atom?A. It has a central nucleus composed of 35 protons and 29 neutrons,surrounded by an electron cloud containing 29 electrons.B. It has a central nucleus composed of 29 protons and 64 neutrons,surrounded by an electron cloud containing 29 electrons.C. It has a central nucleus composed of 29 protons and 35 neutrons,surrounded by an electron cloud containing 29 electrons.D. It has a central nucleus compased of 29 protons and 29 neutrons,surrounded by an electron cloud containing 35 electrons. Which statements describe results of the greenhouse effect?higher temperaturesexpanding ice capspenguins losing natural habitatrising sea levelsshorter dayslonger summers Y=z/(x) make x the subjectAnd add a function machine Please solve the math problem for me... I will mark you brainliest what happens to runt frames received by a cisco ethernet switch? PLEASE HELP WILL GIVE BRAINLIEST!!!! write "3 times the difference of 5 and y equals 4" as a variable expression 1. It continued to ____rain the night(preposition) What are challenges modern day Mayans are facing in trying to keep their traditional languages, religious beliefs and culture alive? Find the image of (1,2) after areflection about x = 6 followed by areflection about x = 4. Summarize what boarding school was like for Zitkala Sa and other native children. You start at (8, 9). You move left 5 units. Where do you end? Which word below could be inserted to complete the idea written here:Mr Birling can be seen as __________ because Mr Birling continually tries to assert (make clear) his position with the Inspector. He also likes to hold dominance over his family. -socially insecure-archaic-uncompassionate-unchanging-obstructive-domineering Explain the differences between the President of the United States and the Prime Minister of Great Britain Helppppp just say true or false