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Goryan [66]
3 years ago
9

Your hotel has 200 rooms in Dallas. There is a sport event coming up, and fans either book a rooms months before or wait for the

last minute. You charge $200 per night for those who book early and $500 per night for those who book at the last minute. Demand for early booking is easy to get. The number of last minute customers is normally distributed with mean 75 and standard deviation 25. How many rooms should be set for early book customer?
Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

89 rooms should be set for early book customer

Step-by-step explanation:

According to the given data we have the following:

OVERAGE(CO) = 200

SHORTAGE(CS) = 500

In order to calculate how many rooms should be set for early book customer we would have to use the following formula:

OPTIMAL BOOKING = MEAN + (Z * STDEV)

MEAN = 75

STDEV = 25

SERVICE LEVEL= CS / (CS + CO) = 500 / (500 + 200) = 0.7143

Z VALUE FOR 0.7143 = 0.57

OPTIMAL BOOKING =  75 + (0.57 * 25) = 89

89 rooms should be set for early book customer

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What is the coefficient of 3x+-12
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Answer:

The coefficient of 3x + 12 is 3.

Step-by-step explanation:

The coefficient of an equation is the number that is multiplied by the varible. In this equation, x is being multiplied by 3, so the coefficient is 3.

4 0
2 years ago
Which of the following describes the image of a triangle after a dilation that has a scale factor of 5/6
Sergeeva-Olga [200]

Answer:

See example below.

Step-by-step explanation:

The image of a triangle will be 5/6 the size. It will be slightly smaller than the original. For example, if the side measurement of the triangle on one side is 12 then the image of the triangle after a dilation will be 12*5/6 = 60/6 = 10.

The new side length is 10 slightly smaller than 12.

6 0
3 years ago
The image on a movie poster was shrunk to make the DVD cover art for the movie, so that the cover art is a scale image of the po
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6 0
3 years ago
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stepladder [879]

Answer: third one

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4 0
3 years ago
Frank and Gregory leave Centreville traveling in opposite directions on a straight road. Gregory drives 22 miles per hour faster
Flauer [41]

Answer:

<h2>Frank speed = 37mi/h</h2><h2>Gregory speed = 59mi/hr</h2>

Step-by-step explanation:

Let the speed of Frank be x and speed of Gregory be y. If Gregory drives 22 miles per hour faster than Frank, then y = 22+x. SInce they they are 216miles apart after 2.25 hours,

Speed = Distance/Time

Total time travelled by them = 2.25hours

Total distance = 216 hours

Total speed = x+y = x+22+x

Substituting this parameters into the formula given to get x we will have;

x+22+x = 216/2.25

2x+22 = 96

2x = 96-22

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x = 37

<em>Hence the speed of Frank is 37miles per hour while that of gregory is 37+22 = 59miles/hour</em>

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3 years ago
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