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

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if corect

Answers

The answer is -3. I hope this helped!

can someone help me please im struggling and can’t figure these 2 problems out :(

Answers

I’m pretty sure the 2nd question is the bottom one which is the last one I think it says J it’s a bit small tho I’m very sorry if I’m wrong!!!

Apply the distributive property to create an equivalent expression,
1/3(3j+ 6)

Answers

Answer:

j + 2

Step-by-step explanation:

1/3(3j) + 1/3(6)

1/3(3j) = j

1/3(6) = 2

Answer: j + 2

Anderia is having a party with 25 people. She has 6 1/2 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?

Answers

Answer:

Everyone got 52/25 = 2.08 slices of pizza.

Step-by-step explanation:

1 large sized pizza = 8 slices

6.5 large sized pizzas = 52 slices

52/25 = 2.08

Hope this helps :D

Choose values for horizontal and vertical translation
First perform a vertical translation of -5 and then a
horizontal translation of -5. Check all that apply.
O ZA ZA
y
4
Horizontal
Translation
OZBZB
2
B
Vertical
Translation
O ZCE ZC
A
X
AB=A'B'
-2
2
4
AC = A'C'
OBCEB'C'
-2
Reset
-4

Answers

Answer:

All of the answers are correct.

Answer:

all the answers are right bc if u look at them their all the same i also took the test

Step-by-step explanation:

Mang ambo is a meat vendor

Answers

Answer:

can you elaborate a little more

Please help! Evaluate xyz if x= 2.
y=-5, and z=-9

Answers

Answer:

90

Step-by-step explanation:

Just multiply what the variables equal to

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}} }: [/tex]

x = 2 , y = -5 & z = -9

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Value of xyz

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Plug the values of x , y & z in the given expression and then multiply !

⇾ [tex] \tt{2 \times ( - 5) \times ( - 9)}[/tex]

⇾ [tex] \tt{( - 10) \times ( - 9)}[/tex]

⇾ [tex] \tt{90}[/tex]

[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{ 90}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Question 3
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A friend has a 81% average before the final exam for a course. That score includes everything but
the final, which counts for 30% of the course grade.
What is the best course grade your friend cah earn?
%
What is the minimum score would your friend would need on the final to earn a 75% for the course?
%
Give answers accurate to at least one decimal place.
Question Help: D Video Message instructor
Submit Question

Answers

Answer:

The best course grade your friend can earn is 0.867 = 86.7%.

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.

Step-by-step explanation:

This is a weighed average problem, in which we multiply each grade by its weight.

We have that:

In 70% of the course, the friend has a grade of 81%.

In the other 30%, he will have x.

What is the best course grade your friend can earn?

This will happen if he earns 100% = 1 on the final test. So

[tex]G = 0.7*0.81 + 0.3*1 = 0.867[/tex]

The best course grade your friend can earn is 0.867 = 86.7%.

What is the minimum score would your friend would need on the final to earn a 75% for the course?

This is x, when the grade is 0.75. So

[tex]0.75 = 0.7*0.81 + 0.3x[/tex]

[tex]0.3x = 0.75 - 0.7*0.81[/tex]

[tex]x = \frac{(0.75 - 0.7*0.81)}{0.3}[/tex]

[tex]x = 0.61[/tex]

The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.

I will give brainiest to whoever answers correctly !!

Answers

Answer:

the material when you get a chance can you send me the material

Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.
0.07
0.3
0.168
0.0012
0.14

Answers

7/100

3/10

21/125

3/ 2500

7/50

I simplified them for you

Please solve log4 5-log4 18 =log4 20-2log4 x
Thank You

Answers

Answer:

your answer will be 22

Step-by-step explanation:

if you add 20 by 2 it will give you 22 use a calculator if not sure but 22 is your answer

find all values of theta if theta is in the interval [0degrees,360degrees) and has the given function value

sec theta= -2

Answers

Answer:

[tex]\theta = 120, 240[/tex], in degrees

Step-by-step explanation:

The secant of an angle is given by:

[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]

In this question:

[tex]\sec{\theta} = -2[/tex]

So

[tex]\frac{1}{\cos{\theta}} = -2[/tex]

[tex]-2\cos{\theta} = 1[/tex]

[tex]\cos{\theta} = -\frac{1}{2}[/tex]

In the first quadrant, the angle that has cosine of 1/2 is 60º.

The cosine is negative in the second and in the third quadrant.

The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.

The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º

So the values of [tex]\theta[/tex] in the interval are:

[tex]\theta = 120, 240[/tex], in degrees



In the figure, a square is inside another bigger square.

If a = 4 units and b = 3 units, the length of the diagonal of the outside square rounded to the nearest tenth is units and the length of the diagonal of the inside square rounded to the nearest tenth is units ? Can someone help ?

Answers

Answer:

c=5

Step-by-step explanation:

in right lower triangle

c²=a²+b²

c=√(4²+3²)=√25=5

sorry I don't understand it.which length of diagonal is needed to find.comment me.

12. Which of the relations below is a function?
A. {(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}
B. {(3, 1), (2, 2), (3, 3), (2, 4), (2,5)}
C. {(2, 1), (2, 2), (2, 3), (2, 4), (2,5)}
D. {(1, 1), (2, 2), (2, 3), (2, 4), (1,5)}

Answers

Answer:

A

Step-by-step explanation:

a function may not have the same values of X.

Find the value of each variable. I’ll mark you as a brainliest

Answers

Answer:

See below

Step-by-step explanation:

Q11

Triangle is 45° and therefore isosceles

x = 10y = 10√2

Q12

y = 2*7 = 14 as the side opposite to 30° angle is half of the hypotenusex = √14²-7² = 7√3

Q13

x = 32/2 = 16, same reason as abovey = 16√3

Q14

x = y = 6/√2 = 6√2/2 = 3√2

Q15

x = 11√3/√3 = 11y = 2x = 2*11 = 22

Q16

z = 24√2/√2 = 24x = 24√3y = x/2 = 24√3/2 = 12√3

PLEASE HELP IVE BEEN TRYING TO FIGURE THIS OUT FOR 30 MINUTES AND I STILL CANT GET IT BLKADJFD

Answers

Answer:

Number 1

Step-by-step explanation: Not sure just assuming I think I am right not gonna lie

Answer:

[tex]m\angle R=35^{\circ}\\m\angle T=45^{\circ}[/tex]

Step-by-step explanation:

Since both triangles in this figure are similar, their corresponding angles must be equal.

Since [tex]\angle R[/tex] corresponds with [tex]\angle U[/tex]:

[tex]m\angle U=m\angle R=\fbox{$35^{\circ}$}[/tex].

Similarly, [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex]:

[tex]m\angle Q=m\angle T=\fbox{$45^{\circ}$}[/tex].

What is the value of the expression below?
11–8+4 - 13-911
A
-18
B. -2
O
C. 0
D.
2
O
E.
18

Answers

Answer:

B.

Step-by-step explanation:

Find the solution of these two equations. Y=1/5x-7 and y=-x-1

Answers

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

help pls

A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?

Answers

Answer:

the length is 14 yards and the width is 8 yards

Please help me if u know

Answers

Answers

x= -3/2

x= 3i

x= -3i

Step-by-step explanation:

f (x) = 2x3 + 3x2 + 18x + 27

Set 2x^3 + 3x^2 + 18x + 27 equal to 0.

2x^3 + 3x^2 + 18x + 27 = 0

Solve for x.

Factor the left side of the equation.

Factor out the greatest common factor from each group.

x^2 (2x + 3) + 9 (2x + 3) = 0

Factor the polynomial by factoring out the greatest common factor, 2x + 3. (2x + 3) (x^2 + 9) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x + 3 = 0

x^2 + 9 = 0

Set 2x + 3 equal to 0 and solve for x.

Set 2x + 3 equal to 0. 2x + 3 = 0

Solve 2x + 3 = 0 for x. Tap for more steps...  

3 x = − 2

 

Set x2 + 9 equal to 0 and solve for x.

Set x2 + 9 equal to 0. x2 + 9 = 0

Solve x2 + 9 = 0 for x.

x = 3i, −3i

The final solution is all the values that make (2x + 3) (x2 + 9) = 0 true.

x = − 3/2 , 3i, −3i

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

A.

Step-by-step explanation:

cause its congruent just flip and get

ZYX

brainliest appreciated

Pierce swims 10 laps in a pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?​

Answers

Answer:

48 sec.

Step-by-step explanation:

8 devided by 10.

Answer:

48 seconds

Step-by-step explanation:

8 min / 10 laps = 0.8 mins

to convert minutes into seconds, multiply by 60

0.8*60 = 48 seconds


AXYZ is graphed on the coordinate plane using the following vertices:
X(2,7) Y(8,7) Z(5,2). Which of the following is the closest to the perimeter
of this triangle? *
18
17
16
15

Answers

The exact answer is 17.662 so I would assume the answer is 18 because it rounds up

Answer: The exact answer is 17.662 so I would assume the answer is 18 because it rounds up

Step-by-step explanation:

Pls help me I need this now pls

Answers

Answer:

450 cm

Step-by-step explanation:

25 on both sides 2x25

4 squares = 25x4

4 sides for 4 squares = 100x4

400+50

Answer: C

Step-by-step explanation:

I need help! Thanks!

Answers

Bratatata shot shots

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of XXX along with summary statistics:

Small Medium Large
X= Profit($) 4 8 12
P(X) 0.18 0.50 0.32
Mean μx= $8.56
Standard Deviation σx ≈ 2.77

The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?

Answers

Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

Mean μx= $8.56

Standard Deviation σx ≈ 2.77

Profit, Y on pizza with current promo :

Price off on pizza = $2

Y = x - 2

μx = E(x) = $8.56

μy = μ(x - 2)

μy = μx - $2

μy = $8.56 - $2

μy = $6.56

For the standard deviation of y

σx ≈ 2.77

σy = σ(x - 2)

σy = σx - 2

Constants are treated as 0 for standard deviation

σy = 2.77

helppppppppppppppppppppppppppppppppjhfyigcusfdcusVCOUVc

Answers

Answer:

use the app called msthway

What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)

Answers

Apply l'Hopital's rule:

[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]

where

[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]

follows from the fundamental theorem of calculus.

The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Write an expression to represent how many trees will be left in 10 years. Then, evaluate the expression.

Answers

The number of the trees that will be left after 10 years will be 2.3 billions.

What is the percent decrease?

A rate of change is negative when the output decreases as the input increases or when the output increases as the input decreases.

Given that, the number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees.

The expression will be:

A = P(1-r)ⁿ

A = final amount

P = initial amount

r = rate

n = time

Therefore,

A = 2500000000(1-00.5)¹⁰

A = 2500000000(0.995)¹⁰

A = 2300000000

Hence, the number of the trees that will be left after 10 years will be 2.3 billions.

Learn more about decreasing rate, click;

https://brainly.com/question/694922

#SPJ2

what is the name for the marked?

Answers

Answer:

C not sure though

Step-by-step explanation:

I think it’s C

Explanation: it’s a connected line and it can’t be DAC since there isn’t a option for that

Hope this helped! :)
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