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Contact [7]
3 years ago
5

A supply company manufactures masks and ventilators for hospitals. To maintain hugh quality, the company should not manufacture

more than a total of 120 masks and ventilators per day. To meet customer demand, the company must manufacture between 10 and 50 masks per day, inclusive. The company must manufacture at least 40 and no more than 100 ventilators per day. The company's profits are $10 per mask and $65 per ventilator

Mathematics
1 answer:
notsponge [240]3 years ago
4 0

Answer:

20 masks and 100 ventilators

Step-by-step explanation:

I assume the problem ask to maximize the profit of the company.

Let's define the following variables

v: ventilator

m: mask

Restictions:

m + v ≤ 120

10 ≤ m ≤ 50

40 ≤ v ≤ 100

Profit function:

P = 10*m + 65*v

The system of restrictions can be seen in the figure attached. The five points marked are the vertices of the feasible region (the solution is one of these points). Replacing them in the profit function:

point          Profit function:

(10, 100)    10*10 + 65*100 = 6600

(20, 100)    10*20 + 65*100 = 6700    

(50, 70)      10*50 + 65*70 =  5050

(50, 40)     10*50 + 65*40 = 3100

(10, 40)      10*10 + 65*40 =  2700

Then, the profit maximization is obtained when 20 masks and 100 ventilators are produced.

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11

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11*6=66+11=77

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Which fraction is close to, but less than 1/2?
qwelly [4]

Answer:

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3.

Step-by-step explanation:

hope this helps,

8 0
3 years ago
Why is the answer A? Plzzz explain.
Contact [7]

Answer:


Step-by-step explanation:

f(x) = x^2 + 4x + 4

f(x + a) = (x + a)^2 + 4(x + a) + 4

f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4   Now combine like terms and use the distributive property.

f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4

We are told that f(x + a) = x^2 - 6x + 9

So that means that

2a + 4 = - 6      Subtract 4 from both sides.

2a = - 6 - 4

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a = - 10/2

a = - 5.            

But you are not finished. You have to check the last part.

a^2 + 4x + 4 = 9

(a + 2)^2 = 9

Take the square root of both sides

sqrt(a+ 2)^2 = +/- 3

a+2 = 3

a = 1.

Does this work or is it extraneous? It is extraneous because it will not work for  2(a) + 4 = - 6  

You get 6 = - 6 which is not correct. But you did give the second best answer.

a + 2 = - 3

a = - 3 - 2

a = - 5 which agrees with your previous answer.

===========

This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.

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3 years ago
How many exact tenths are in the number 679.354?​
siniylev [52]

it's probably 679 whole tenths

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