A 300 room hotel can rent every one of its rooms at $80 per room. For every $1 increase in rent, 3 fewer rooms are rented.
How much should the hotel charge for each room to maximize its daily revenue? What is the maximum daily revenue?

Answers

Answer 1

Answer:

The hotel charge for each room to maximize its daily revenue and the maximum daily revenue is explained below in details.

Step-by-step explanation:

So for every $1 hike in price, the number of rooms goes underneath by 1.

So the earnings can be displayed by R(x) = (300-x)(80+x)

From that, you require to subtract 22(300-x) since it takes $22 per occupied room.

AND there is a framed cost of $1000 per day.

So your profit function is P(x) = (300-x)(80+x) - 22(300-x) - 1000

Simplified, this is P(x) = -x2 +242x + 16400.

P'(x) = -2x + 242  Set it = to 0

x = 121 which displayed the number of unoccupied rooms.

P(121) = -14641 + 29282 + 16400 = $31041

You can verify by computing P(120) and P(122) which both even $31040.

Hope this helps.


Related Questions

how is the graph of f(x)=-3x^2-4 different from the graph of f(x)=-3x^2 ?

Answers

Answer:

B

Step-by-step explanation:

rules:

add outside the function : f(x) ± a;  will shift  a + up / a- down

add inside the function: f(x ± a); will shift a + left  / a- right

so if

f(x)  becomes f(x) -4  will be shifting down 4 units

Find the sum of whole number that are less than 100 and leave reminder 2 when divided by 5​

Answers

Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

The sum of whole number that are less than 100 and leave reminder 2 when divided by 5​ is 990.

What is Arithmetic Progression?

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.

An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

Given:

We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5​

So, we get the sequence

2, 7, 12, ................97

=2+7+12+⋯+97

This is AP with =2,=5,

So, l= a+( n-1)

97= 2+ (n-1)(5)

95 = 5(n-1)

n-1 = 95/5

n-1 = 19

n= 19 + 1

n=20

Now, the sum is

[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))

     = 10( 4 + 19(5)

     = 10 (99)

     = 990

Hence, the sum is 990.

Learn more about Arithmetic Progression here:

https://brainly.com/question/16947807

#SPJ2

A group of students made tacos for their class lunch. The number of tacos each student made is shown in the table.



Student Number of Tacos
Jackie 6
Manny

6
Vinny 2
Paula 8
Marta 4
Evelyn 2


Which answer choices describe the ratio 6 : 4?

Select all that apply.


the ratio of the number of tacos Jackie made to the number of tacos Marta made


the ratio of the number of tacos Manny made to the number of tacos Evelyn and Vinny made


the ratio of the number of tacos Paula made to the number of tacos Jackie and Manny made


the ratio of the number of tacos Marta made to the number of tacos Manny made


the ratio of the number of tacos Manny made to the number of tacos Marta made


the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made

Answers

Answer:

-the ratio of the number of tacos Jackie made to the number of tacos Marta made

-the ratio of the number of tacos Marta made to the number of tacos Manny made

-the ratio of the number of tacos Manny made to the number of tacos Marta made

-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made

Step-by-step explanation:

There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!

Destiny draws a circle with radius 14 centimeters. What is the circumference of Destiny's circle? Write your answers using pi. Show your work.​

Answers

Answer: 87.92cm

Step-by-step explanation:

The radius is 14, you need to find the diameter(multiplied by 2) which is (14x2) or 28 . Next Multiply 28 by pi or 3.14.

3.14x28 = 87.92

The circumference of the circle is 87.92 cm


A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 11 2/3 yards and a double window requires 15 5/6
yards of fabric. If there are two single windows and one double window, how much fabric is required?

Answers

Answer:

[tex]2S + D = 34\frac{1}{6}\ yd[/tex]

Step-by-step explanation:

Represent single windows with S and double with D.

So, we have:

[tex]S = 11\frac{2}{3}\ yd[/tex]

[tex]D = 15\frac{5}{6}\ yd[/tex]

Required

Determine the amount of fabric for 2 singles and 1 double

The above statement implies:

[tex]2S + D[/tex]

Substitute values for S and D

[tex]2S + D = 2 * 11\frac{2}{3}\ yd + 15\frac{5}{6}\ yd[/tex]

Convert fractions

[tex]2S + D = 2 * \frac{35}{3}\ yd + \frac{65}{6}\ yd[/tex]

[tex]2S + D = \frac{70}{3}\ yd + \frac{65}{6}\ yd[/tex]

Tale LCM

[tex]2S + D = \frac{140+65}{6}\ yd[/tex]

[tex]2S + D = \frac{205}{6}\ yd[/tex]

[tex]2S + D = 34\frac{1}{6}\ yd[/tex]

Hence, [tex]34\frac{1}{6}\ yd[/tex] is needed

18 percent of what number is 74

Answers

Answer:

411.1111111

Step-by-step explanation:

18% of x = 74

Convert 18% into a decimal.

0.18 • x = 74

Isolate x by dividing by 0.18.

x = 411.1111111

Check answer.

0.18 • 411.1111111 = 74

74 = 74

The table shows the numbers of seeds the owners of pumpkin patch farms received from different seed suppliers. Each of the pumpkins they harvest usually weighs between 10 and 12 pounds. There are 60 rows and the farmers will plant the same number of seeds in each row. How many seeds will they plant in each row

Answers

Answer:I’m trying to find it too

Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90

?????????????????????

Answers

Answer:

g(3) = 0

Step-by-step explanation:

You know g(x) = 3x - 9. So, to find g(3), you have to replace x by 3 on the other side.

g(3) = 3(3) - 9

You can solve this.

g(3) = 9 - 9

g(3) = 0

Answer:

0

Step-by-step explanation:

need help asap please

Answers

Answer:

[tex]\displaystyle 77[/tex]

Step-by-step explanation:

Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ‍♂️

I am joyous to assist you at any time.

Please answer thank you

Answers

Answer:

y=10.2x

Step-by-step explanation:

x represents hikers

y represents total pounds

Y=10.2x because once the items are added all up you get the amount of the total weight

CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP

Answers

Answer:

i believe its b. but im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

x^2+5x-6 how do i factor this

Answers

Answer:

Step-by-step explanation:

you have to use the quadratic equation,

and we will get 2 roots,

x=1 and x=-6

(x-1)(x+6)

x-1)(x+6. Hope it helps man

I will give brainiest to whoever answers correctly !!

Answers

Answer: approx. 4077.7

Step-by-step explanation:

Use this formula: T=a*(1+m%)^n (T: result; a: initial money; m:interest; n:months)

The ratio of men to women working for a company is 5 to 8. If there are 232 women working for the company, what is the total number of employees?

Answers

Answer:

The total number of employees is 377.

Step-by-step explanation:

1. You divide total number of women (232) by the ratio of women. (8)

232/8 =29

2. You take 29 and multiply it by the amount of men in the ratio. (5)

29*5=145

3. Finally you just add the total amount of men (145) and the total amount of women. (232)

232+145=377

I hope this helps!

I tried to explain to the best of my ability.

Answer: 377 employees

Step-by-step explanation:

The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.

[tex]\frac{5}{8}= \frac{x}{232}[/tex]    After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.

Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company

Which equation is equivalent to 1/5x - 3 = 2/3
A : x-15=10
B : 3x-15=10
C : 3x-45=10
D : 5x-45=3​

Answers

Yes the answer would be a

Leo has 3 8/9 ounces of sunblock. He uses one-fifth of an ounce at the beach. How much does he have left?

Answers

Step-by-step explanation:

7/9pls mark as brainliest

Answer:

Step-by-step explanation:

It's 3 31/45

Helpppppppppppppppp pleaseeeeee

Answers

290.4 I'm guessing cuz bbn it closest to what I got

Which line has a slope equal to 1?

Answers

The slope of a tangent line.
Hope I helped

Answer:

Algebra and geometry...

Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....

Step-by-step explanation:

hope the answer was helpful ......

the formula C = 6p + 200 gives C , the total cost in dollars of hosting a birthday party for p guests at a local ice cream parlor .
A : solve the formula for p .
B : isabella can spend $350 for her birthday party . how many people can she invite ?

Answers

a. C = 6p + 200
C - 200 = 6p
(c - 200)/6 = p

b 350 = 6p + 200
150 = 6p
25 = p

answer quick will give 20 points

Answers

Answer:

1

Step-by-step explanation:

the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)

Answer:

The correct answer to your question I believe is 1

Step-by-step explanation:

So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!

HELP! whoever gets it right gets brainliest!

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer is B

Answer:

The answer is B

Step-by-step explanation:

BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER

PLEASE HELP 17 points

Answers

Answer: I say B its a bit hard but i think i got it not  sure but Good Luck!

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

When dilating a shape, you need to take the side length and multiply it by the scale factor.

Solve the inequality.
8 + 12x < -16

Answers

Answer:

x < - 2

Step-by-step explanation:

I hope this helps.

Answer:

x < -2

Step-by-step explanation:

1) 12x+8< -16 Rearrange the expression

2) 12x < -16+8 Separate the constants and variables

3) 12x< -24 Add the the number

4) 12x/12 < -24/12 Divide both sides by 12

5) x< -2 Answer

Hope that helps.

what is 2-2? i dont know

Answers

I think 0? Correct me if I’m wrong

Answer:

2-2 = 0

Step-by-step explanation:

2 is a positive number

While the second 2 is a negative 2

(-2)

so a positive and a negative number can cancel eachother out

Therefore the answer is 0 since they are both 2 :)

complete the ratio table below

Answers

I think 53, 46, and 65

what represents the quantitative forecast

Answers

Answer:

Quantitative forecasting relies on data that can be measured and manipulated. The data is usually from the past. This type of analysis is best for short-term forecasting as making assumptions about the future based on past performance is much more likely to be accurate in the near future.

Step-by-step explanation:

4x - 3y = 11
2x - 5y = 25

solve using elimination and substitution method​

Answers

Answer:

hope it helps forget about my writing

Answer:

(-1.43, -5.57)

Step-by-step explanation:

Elimination:

First we need to line up x or y to be the opposite so they can be eliminated:

4x - 3y = 11

-2( 2x - 5y = 25) which is

-4x + 10y = -50

Next step we cancel out the x but adding both equations which would isolate the y:

7y = -39

y = -5.57

After finding y, plug it back into the equation to find x:

4x - 3(-5.57) = 11

4x + 16.71 = 11

4x = -5.71

x = -1.43

To ensure it is correct, we can plug it back into both equations:

4(-1.43) - 3(-5.57) = 11

2(-1.43) - 5(-5.57) = 25

what is the equation of a line with a slope of -3 and a y-intercept of 9

Answers

Answer:

The answer to the question provided is y = -3x + 9.

The lunch at Dion's Place has choice of ham, turkey, or roast beef on rye or white bread white juice, milk, or tea.
A. How many different lunches are possible.
B. What is the probability that the lunch special of the day is ham on rye with tea?

Please Help With Both Answers - I Will Give BRAINLIEST, and 50 points.

Answers

Total combinations are found by multiplying the quantities of each part by each other.

3 kinds of meat x 2 types of bread x 3 types of drinks

A) total combinations = 3 x 2 x 3 = 18

B) there are 18 different combinations, ham in rye with tea is 1 combination.

The probability would be 1/18

which of the following equations would have 2 x-intercepts

Answers

Answer:

None of these

Step-by-step explanation:

because if we plug in every time we will gwt one solution of X

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