An amusement park is considering installing an outdoor ice-skating rink, which costs $950,000. Expenses for operating and maintaining the ice-skating rink are estimated at $2,500 each day it is used. The outdoor skating rink can only be used when the weather is sufficiently cold, so its usage is limited. The US weather service estimates that there is a 50% probability of 80-day suitable weather per year, 30% probability of 100 days per year, and 20% probability of 120 days per year. The operators of the amusement park estimate that during the first 80 days of use in a season, an average of 500 people will skate each day, at a fee of $20 each. If 20 additional days are available, the rink will be used by only 400 people each day during the extra period, and if 20 more days of skating are available, only 300 people per day will use the rink during those days. The management of the amusement park wish to recover any invested capital within three years and want at least a 22% per year rate of return before taxes. Based on before tax analysis, should the outdoor ice-skating rink be installed

Answers

Answer 1

Answer:

Yes, the outdoor ice skating rink should be installed.

Step-by-step explanation:

We can reach this conclusion after simulating the profit for each possible scenario made by The US weather service estimates:

For 80-day suitable weather per year:

total invested capital = $950,000 + $200,000 (total operating and maintaining cost) = $1,150,000per day revenue= 500 x $20 = $10,000total revenue per season = $10,000 x 80 days = $800,000total operating and maintaining cost = $2,500 x 80 = $200,000total profit (returns) in a season = $800,000-$200,000 = $600,000per year rate of return before taxes =  52% (total profit / total invested capital *100; $600,000/$1,1150,000 *100 = 52%

For 100 days suitable weather per year:

total invested capital = $950,000 + $200,000 (total operating and maintaining cost) = $1,150,000per day revenue= 400 x $20 = $8,000total revenue per season = $8,000 x 100 days = $800,000total operating and maintaining cost = $2,500 x 100 = $250,000total profit (returns) in a season = $800,000-$250,000 = $550,000per year rate of return before taxes =  52% (total profit / total invested capital *100; $550,000/$1,1150,000 *100 = 47%

For 120 days suitable weather per year:

total invested capital = $950,000 + $200,000 (total operating and maintaining cost) = $1,150,000per day revenue= 300 x $20 = $6,000total revenue per season = $6,000 x 120 days = $720,000total operating and maintaining cost = $2,500 x 120 = $300,000total profit (returns) in a season = $800,000-$250,000 = $420,000per year rate of return before taxes =  52% (total profit / total invested capital *100; $420,000/$1,1150,000 *100 = 58%

Threfore, we notice that the 22% per year rate of return before taxes criteria was met in each of the possible scenarios, making the endeavor worthwhile.


Related Questions

Which set of numbers represents the DOMAIN for the following table below?
X -3 4 6 -12
Y 5 -6 2 0

A
{4,5,6,12}

B
{−12,−3,4,6}

C
{−12,3,4,6}

D
{0,5,−6,2}

Answers

Answer:

B. (-12,-3,4,6)

Step-by-step explanation:

The above question is asking the domain

I also need help with this question I’m confused

Answers

Answer:

x = 4

Step-by-step explanation:

From the diagram, we can se that line l is parallel to m. This means that according to geometry, m<7 and m<9 are located on the same position on line n. Hence m<7 = m<9 (corresponding angle)

Given

m<7 = 9x+ 5

m<9 = x+37

Equaling both

9x + 5 = x+ 37

9x - x = 37-5

8x = 32

x = 32/8

x = 4

Hence the value of x is 4

Plot -7 in the complex plane.

Answers

Answer:

the phone with me and I will be in the future of our games in call of duty Black ops game clip is not available for remote playback of the phone with me know if I can be used for

Step-by-step explanation:

explain the IF

poem in 5 linesexplain the IF

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Best answer gets Brainliest!!!!

Answers

Answer:

no

Step-by-step explanation:

if it was the amount of time would be going up at a constant rate but its not

and your graph is wrong

hope this helps <3

sorry if this is wrong this is a weird question :/

be The distance an object travels is determined by how fast it goes and for how long it moves. If an object's speed remains constant, the formula is d= r., where d is the distance, ris the speed, and t is the time. a. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? 200 miles b. 10 miles 250 miles d. 300 miles C. Please select the best answer ​

Answers

Answer:

10 miles is answer because u should divide d=r

C С Ε B Н H D in the image point A is the center of the circle. Which two line segments must be equal in length?​

Answers

Question:

In the image, point A is the center of the circle. Which two line segments must be equal in length?

Answer:

[tex]HI = EF[/tex]

Step-by-step explanation:

See attachment for figure

Required

Which two lines must bet equal

From the diagram, we have the following 4 lines:

BCHIEFAD

However, among the 4 lines, only two lines pass through center A.

These lines are:

HIEF

The length of these two line segments because they both pass through the center and they both represent the diameter of the circle.

Hence,

[tex]HI = EF[/tex]

find the number of permutations of the letters in twelve

Answers

Answer:

360

Step-by-step explanation:

Six letters in twelve with a repeated e would be 6! ÷ 2

48/8 = 42/x

Please select the best answer from the choices provided.

A: x = 42
B: x = 7
C: x = 8
D: x = 6​

Answers

Answer:

D because 48 ÷ 8 = 6 42 +6 = 7

The best answer from the choices provided,

is x = 7.

The correct option is B.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

An expression,

48/8 = 42/x

Applying cross multiplication,

x = 42(8)/48

x = 7

Therefore, the value of x is 7.

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Which set of angle measures cannot be the angle measures for a triangle?

Answers

Answer: 60 , 60 , 61

Step-by-step explanation:

Helpppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

c and e is not polynomials

What ordered pair corresponds to point D?
(in pic)
( , ) ?
i’ll give brainiest, don’t answer if you don’t know i need this due in less than 20 mins !!

Answers

Answer:

(2,0)

Step-by-step explanation:

point D is on point (2,0)

that is what it means

The length of a rectangular piece of cardboard is 2 cm greater than its width. If the length and the width were each decreased by 1 cm, the area of the cardboard would be decreased by 27 cm². What are the dimensions of the original piece of cardboard?

Write and solve an equation to represent the problem.

Answers

9514 1404 393

Answer:

  13 cm wide;  15 cm long

Step-by-step explanation:

Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...

  w(w+2) -(w-1)(w+1) = 27

 w^2 +2w -(w^2 -1) = 27

 2w +1 = 27

  w = (27-1)/2 = 13

The original piece of cardboard was 13 cm wide and 15 cm long.

Anthony is 154 cm tall, his brother Gerry is 5/7 as tall as him. How tall is Gerry?

:D can someone please help me with these problems please

Answers

The correct answer is 110 cm

Explanation:

Fractions always include two values (one at the top and the other at the bottom) and they represent the proportion of something, for example, 1/2 of an apple means there is only half apple. Now, to calculate how much is 5/7 of 154 centimeters, simply divide the total number into the denominator (bottom number) and then multiply the result by the numerator (top number). This process is shown in detail below:

[tex]\frac{5}{7}[/tex]  -  5 is the numerator and 7 is the denominator

5/7 of 154 cm

154 cm / 7 = 22

22 x 5 = 110 cm

If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents. How much would you expect to gain after 25 tosses (in $ dollars)

Answers

Answer:

$30.00

Step-by-step explanation:

Because if you think about it, about half of them are going to be heads and the other half are going to be tails.

hope this helped

We could expect $30.00 to gain after 25 tosses.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

It is given that If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents.

We need to find How much would you expect to gain after 25 tosses (in $ dollars).

Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.

Therefore, We could expect $30.00 to gain after 25 tosses.

Learn more about probability here;

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The radius of a cylindrical tank is 3' and the height is 8'what is the volume

Answers

Answer:

226 cubed foot (rounded to 3 s.f.)

Step-by-step explanation:

Volume of cyclinder: [tex]\pi[/tex] × r² × h

Volume of cylindrical tank = [tex]\pi[/tex] × 3² × 8

                                           = 72[tex]\pi[/tex]

                                           = 226 cubed foot (rounded to 3 s.f.)

A club offers me membership for a fee of 20$ plus a monthly fee of 18 b club offers a fee of 14$ and a monthly fee of 20 after how many month will it be the same

Answers

Answer:

wfcfzgcfxfdsdfgfd

Step-by-step explanation:

gfgboy

write an equatiob of line in slope intercept from passing through (-10,-8) and parallel to y=1/5x-3

Answers

Parallel = same slope
Y = 1/5x + b
Plug in point
-8 = 1/5(-10) + b
-8 = -2 + b, b = -6
Equation: y = 1/5x - 6

Write the equation 8x - 5y = 20 in
slope intercept form.

Answers

Answer:

The equation in slope-intercept form is y = 8/5x-4.

I hope this helps! Have a nice day!!

what is tax dependent​

Answers

Answer:

A dependent is a person other than the taxpayer or spouse who entitles the taxpayer to claim a dependency exemption. Each dependency exemption decreases income subject to tax by the exemption amount.

Step-by-step explanation:

please help. i have like a bunch of missing assignments

Answers

Answer:

The answer is 11 Units

Answer:

12

Step-by-step explanation:

base*height=6*2

6*2=12

From A to Z BU
9 Love From A to Z
9 Love From A to Z
20
The
equation d = n²-12n + 43
models the number of defective
items d
produced in a manufacturing process where there
workers in a restricted
are n
area
a) solve for
When
do 30
I
b) solve for n
when
d=20

Answers

Answer:

a) we get value of n: n=10.7 or n=1.2 when d=30

b) we get value of n: n=9.6 or n=2.3 when d=20

Step-by-step explanation:

a) solve for  n When  do= 30

Put d= 30 in the given equation:

[tex]d = n^2-12n + 43[/tex]

[tex]30=n^2-12n+43\\n^2-12n+43-30=0\\n^2-12n+13=0\\[/tex]

Now, we will find value of n by using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=1, b=-12 and c=13

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(13)}}{2(1)}\\n=\frac{12\pm\sqrt{144-52}}{2}\\n=\frac{12\pm\sqrt{92}}{2}\\n=\frac{12\pm9.59}{2}\\n=\frac{12+9.59}{2} , n=\frac{12-9.59}{2}\\n=10.7 , n=1.2\\[/tex]

So, we get value of n: n=10.7 or n=1.2

b) solve for n  when  d=20

[tex]d=n^2-12n+43\\20=n^2-12n+43\\n^2-12n+43-20=0\\n^2-12n+23=0\\[/tex]

Now, we will find value of n by using quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=1, b=-12 and c=23

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(23)}}{2(1)}\\n=\frac{12\pm\sqrt{144-92}}{2}\\n=\frac{12\pm\sqrt{52}}{2}\\n=\frac{12\pm7.21}{2}\\n=\frac{12+7.21}{2} , n=\frac{12-7.21}{2}\\n=9.6 , n=2.3\\[/tex]

So, we get value of n: n=9.6 or n=2.3

EASY MATH PLS HELP
For f(x)= 19-5x, what is the value of f(-3)?

Answers

Answer:

f(x)= 19-5(-3)

19+15

f(x)=34

Step-by-step explanation:

Does this set of ordered pairs represent a function? (-1,5)(0,-3)(2,7)(4,0)(7,5)

Answers

Answer:

No

Step-by-step explanation:

You cant have 2 y values

Answer:

it is indeed a function

Step-by-step explanation:

solve for x,y and z, show your work

2x+y 2=-3
y+z=2
-y +z =12

Answers

If u need help, all you do is simply just move the other equations to the other side for which ever letter your solving for

I need help with this !

Answers

The third one because they equal 90

Answer:

the one closer to the right with the 56 and 34

try adding the angle's degree.

Step-by-step explanation:

Which is an equation for the line that contains (-2,5) and has a slope of -7 ?
7x + y = 33
y=-7x+9
y=-7x-33
7y+y=-9

Answers

Answer:

y = -7x - 9

Step-by-step explanation:

The standard from of equation of a line is expressed as;

y = mx+c

m is teh slope = -7

c is the intercept

Get the intercept by substituting m = -7 and the point (-2, 5) into the equation;

y = mx+c

5 = -7(-2) + c

5 = 14 + c

c = 5-14

c = -9

Substitute m = -7 and c = -9 into the expression y = mx+c

y = -7x - 9

Hence the required equation of the line is y = -7x - 9

Four ninths plus one ninth

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

4/9 + 1/9

To add fractions, you need a common denominator. You already have a common denominator of 9, so just add the numerators.

4/9 + 1/9 = 5/9

Since there is no common factor of 5 and 9 other than 1, the fraction is already reduced.

Answer: 5/9

What is the relationship between the length of one leg and the length of the hypotenuse of an isosceles right triangles?
A) Leg = Hypotenuse ∙ √2
B) Hypotenuse = Leg ∙ √2
C) Leg ∙ Hypotenuse = √2

Answers

Answer:

B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.

An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.

Normally, the legs are a and b, and the hypotenuse is c, and we have

a^2 + b^2 = c^2

Here the legs are congruent, so we have a = b.

Substituting a for b, we have

a^2 + a^2 = c^2

2a^2 = c^2

c^2 = 2a^2

c = a√2

Answer: B) Hypotenuse = Leg ∙ √2

Answer:

progably B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

What is the volume of the following rectangular prism?
units
NI
1
16- units
4.

Answers

Answer:

60

Step-by-step explanation:

The volume of the rectangular prism is V = 64 units³

What is the volume of a prism?

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Let the volume of the rectangular prism be represented as V

Now , the height of the prism is H = 4 units

The length and width of the prism is 1 and 16 units respectively

So , the base area of the prism B = 16 units²

Now , Volume of Prism = B x h

On simplifying , we get

The volume of rectangular prism V = 16 x 4

The volume of rectangular prism V = 64 units³

Hence , the volume of the rectangular prism is 64 units³

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pleaseee helppp meeee

helppp meee​

Answers

Answer:   Slope = -1.000/2.000 = -0.500

 x-intercept = 0/1 = 0.00000

 y-intercept = 0/2 = 0.00000

Step-by-step explanation:

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