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Ugo [173]
4 years ago
13

Suppose a crime wave hits West Philadelphia, so that the marginal product and average product of police officers are now 60 arre

sts per hour for any number of police officers. What is the optimal allocation of 500 police officers between the two areas now?
Business
2 answers:
Stells [14]4 years ago
8 0

Answer:

The ideal allocation of 500 police officers should be in West Philadelphia.

Explanation:

We must first describe what the word "allocation" means. Allocation refers to a place that, due to some circumstance, needs to be considered as a place for the allocation of resources. These resources can be money, materials, raw materials, labor, among others.

In the question above, we can see that a wave of crime broke out in Philadelphia, making this region a place that is in need of a specific resource, police. In this case, the ideal allocation of 500 police officers is in West Philadelphia, where the number of crimes is very large and there is a need for professionals like the police.

Marat540 [252]4 years ago
7 0

Answer:

Answer is All 500 police officers should be sent to West Philadelphia.

Refer below for explanation.

Explanation:

Therefore,

Optimal allocation of 500 police officers should be sent to West Philadelphia.

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Answer:

<em>n = 33.8108479</em>

Explanation:

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500 \times \frac{1-(1+0.0075)^{-48} }{0.0075} = PV\\

PV $20,092.3909

Now we recalculate n:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C  $675.00

time n

rate    0.0075

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675 \times \frac{1-(1+0.0075)^{-n} }{0.0075} = 20092.39\\

<u>from the annuity formula we solve as we can until arrive at this situation:</u>

(1+0.0075)^{-n}= 1-\frac{20092.39\times0.0075}{675}

(1+0.0075)^{-n}= 0.77675122

<u>We use logarithmics properties to solve for n:</u>

-n= \frac{log0.77675122}{log(1+0.0075)}

<em>n = 33.8108479</em>

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How the stock market works <br>simplify ur answer?<br>​
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