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n200080 [17]
3 years ago
6

People arrive at a college admissions office at rate 1 per minute, and the arrival is a Poisson process. When k people have arri

ve, a tour starts. Student tour guides are paid $20 for each tour they conduct. The college estimates that it loses ten cents in good will for each minute a person waits. What tour group (not counting the guide) minimizes the average cost per person?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

K=20

Step-by-step explanation:

There seem to be no randomness in the question.

At 1 per minutes the arrival rate is fixed.

Then compute the average cost for each person to give a four, adding the cost of guide and time waiting cost..

Therefore, K is the number of people hoping will show up.

Number of per minute waiting

= 1/2(K-1)K.

Tour cost 20+1/20(K-1).

Cost per guest= 20/k +1/20(K-1)

If the derivative is set to Zero

K=20

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Answer:

C. I can’t really enter square roots

Step-by-step explanation:

a^2/3 = a^2*a^1/3

Which is the cube root of a squared

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Find the volume of the figure below.
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What is the value of 8^3+5x when x=12
Aleksandr-060686 [28]
8^3=512
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Please help! Will mark brainless​
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Here’s what you can do to make this very simple. Consider that the “missing” space between the rectangles isn’t there. Then, find the area:

10 x 9 = 90 mm

Now, find the area of the “missing” part.

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Finally, you deduct the missing part from the complete rectangle!

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2 years ago
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Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible ratio table
Phantasy [73]

A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

<u>Where:</u>

  • y and x are the variables.
  • k represents the constant of proportionality.

Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 4/3.

For table 2, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 8/3.

For table 3, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 5/3.

For table 4, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 6/3 = 2.

In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

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