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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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kari74 [83]
To solve this, you can do the is over of equals to % over hundred.
is         %
__ = ____
of      100
10,000      12
_____ = ____
    t           100
1,000,000=12t
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t=83,333.33
i hope this helps!
3 0
3 years ago
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77julia77 [94]

0/2=0 because anything divided by zero is zero.

4 0
3 years ago
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Select the correct answer.<br> Which graph represents the given exponential function?
Allushta [10]

Answer:

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7 0
3 years ago
Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 2
qaws [65]

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

cos \theta = \frac{h}{L}

Substituting figures, we have:

cos(23) = \frac{h}{4}

Let's make h subject of the formula.

h = 4cos(23) = 3.68

The length of pole from the top of the swing ride is 3.68 meters

To find the height of the pole of the swing ride, we have:

X = h + H

X = 3.68 + 3.5

X = 7.18

Height of the pole of the swing ride is 7.18 meters

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3 years ago
Your total comes out to be $7.33 then the sales tax is 3% how much was the sales tax
Snowcat [4.5K]

Answer:

40.00

Step-by-step explanation:

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