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allochka39001 [22]

3 years ago

5

For the feasibility region shown below, find the maximum value of the function P=3x+2y.

2 answers:

Setler [38]3 years ago

6 0

Answer:

28

Step-by-step explanation:

abruzzese [7]3 years ago

5 0

Given:
P = 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)
Point A is found in x = 8 ; y = 0 or (8,0)
Point B is found in x = 6 ; y = 5 or (6,5)
Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.
Point A = 3(8) + 2(0) = 24 + 0 = 24
Point B = 3(6) + 2(5) = 18 + 10 = 28
Point C = 3(0) + 2(8) = 0 + 16 = 16

The maximum value of the function P = 3x+2y is 28 and its minimum value is 16.

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What is the slope of the line that is perpendicular to the line shown on the graph?

Genrish500 [490]

We can find out two point on the line (0,2)and(4,1)

The slope =(2-1)/(0-4)=-1/4

5 0

3 years ago

One estimate of the population of the world on January 1, 2005, is

inn [45]

Answer:

8,566,379,470 people

Step-by-step explanation:

Let's start simple. In order to find the population increase on January 1, 2006, we need to multiply 6,486,915,022 by 1.4% and add it to 6,486,915,022.

6,486,915,022*1.4% = 90,816,810.308
90,816,810.308+6,486,915,022 = 6,577,731,832.31 people on January 2006.

Note that the above two steps gives the same answer as 6,486,915,022*1.014.

So we need to do this for each year. 20 years pass between 1/1/2005 and 1/1/2025.

We need to do 6,486,915,022*1.014*1.014*1.014... 20 times.

This is equivalent to $6,486,915,022*1.014^{20}$ .

Multiplying it out gives us 8566379470.2 = 8,566,379,470 people.

4 0

3 years ago

What is the value of x

harkovskaia [24]

Answer: x=37.8, you can solve by writing a proportion

7 0

2 years ago

Read 2 more answers

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4

djyliett [7]

Answer:

$4\dfrac{3}{8}$ cups of flour

Step-by-step explanation:

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour.

Then this recipe, which yields one muffin, calls for

$\dfrac{2}{3}:12=\dfrac{2}{3}\cdot \dfrac{1}{12}=\dfrac{1}{18}$

cup of milk for every

$1\dfrac{3}{4}:12=\dfrac{7}{4}\cdot \dfrac{1}{12}=\dfrac{7}{48}$

cups of flour.

Thus,

this recipe, which yields a batch of 30 muffins, calls for

$\dfrac{1}{18}\cdot 30=\dfrac{5}{3}=1\dfrac{2}{3}$

cups of milk for every

$\dfrac{7}{48}\cdot 30=\dfrac{210}{48}=\dfrac{35}{8}=4\dfrac{3}{8}$

cups of flour.

4 0

3 years ago

Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.

KengaRu [80]

We have the following expression

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})$

This is equivalent to

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})$

Since

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi$

we have that

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})$

Therefore, the answer is the second option from top to bottom.

3 0

8 months ago