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Wewaii [24]
3 years ago
5

Como determinar el valor de un segmento

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0
Sorry I don’t speak Spanish
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CB=CA

FD and FG

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The Continuing Education Division at the Ozark Community College offers a total of 30 courses each semester. The courses offered
dybincka [34]

Answer:

The college should offer 20 practical courses and 10 humanistic courses in order to maximize the revenue.

Step-by-step explanation:

a)

Let x and y be  

<em>x= number of practical courses the college will offer</em>

<em>y= number of humanistic courses the college will offer</em>

we have the following inequalities

x ≥ 10

y ≥ 10

x+y = 30

The only points (x,y) that satisfy all this inequalities are (10,20) and (20,10) (see picture attached).

On the other hand, the revenues would be given by  

R = 1,500x + 1,000y

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R = 300,000 + 100,000 = 400,000

and the college should be offering 20 practical courses and 10 humanistic ones.

b)  

If x = 21 then y must be 9, and then y does not satisfy y ≥ 10.

So you can only offer additional humanistic courses.

In n is an integer < 30

But if y=10+n  then x must be 30-n and the revenue would be

R = 1,500(30-n) + 1,000(10+n) =  

350,000 - 1,500n + 100,000+ 1,000n =  

400,000 - 500n < 400,000

This result means in terms of offering additional courses, that is not worth doing it.

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3 years ago
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