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2 years ago

Identify the vertices of the feasible region for the given linear programming constraints.

Mathematics

1 answer:

vredina [299]2 years ago

7 0

The vertices of the feasible region are as follows,

(-14, -11), (9, -11) and (6, 4)

What is a Feasible Region?

The area of the graph where all constraints are satisfied is the feasible solution zone or feasible region. It might also be thought of as the point where each constraint line's valid regions intersect. Any decision in this region would lead to a workable resolution for our objective function.

Vertices of the Feasible Region

As it can be seen in the graph, the vertices of the feasible region surrounded by the given constraints are:

(-14, -11), (9, -11) and (6, 4)

Learn more about feasible region here:

brainly.com/question/7243840

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plz this is easy just answer Use < or > to compare the integers. –14 and –3 A. –14 > –3 B. –14 < –3

oee [108]

It would be B. because if you put the numbers on a number line, you notice that -14 is further down than -3 since -3 is closer to 0, so -14 is less than -3

3 0

3 years ago

I've attached a screenshot, if you can solve this I would love an answer and explanation. :)

aksik [14]

Answer:

11.75, 2.9375

12, 3

12.48, 3.12

Step-by-step explanation:

First, let's go over what they want us to do.

Boring but brief history lesson of geometry:

In the beginning of the history of geometry and circles, mathematicians would find the approximate circumference of circles by drawing polygons inside of circles and finding the perimeter of that polygon. In other words, the approximate circumference of the circle about the perimeter of the shape. The more side lengths there are, the smaller each side is, and the closer the perimeter is to the actual circumference (more on this later)

Problem 1:

The pentagon has a side length of 2.35, so the perimeter is 5 * 2.35 = 11.75

Thus, the approximate circumference is 11.75.

The diameter of a circle is r * 2, or 4, so the ratio of the circumference to the diameter is 11.75 / 4, or 2.9375

Problem 2:

The hexagon has a side length of 2, so the perimeter is 6 * 2 = 12. Thus, the approximate circumference is 12.

The ratio of the circumference to the diameter is 12 / 4, or 3.

Problem 3:

The dodecagon (12 sided shape) has a side length of 1.04, so the perimeter is 12 * 1.04 = 12.48.

The ratio of the circumference to the diameter is 12.48 / 4 = 3.12

Although we are done, let's ~circle~ back (sorry for the pun) to the idea that this exercise is trying to tell us.

The circumference of a circle is 2πr (which is also equal to the diameter times pi). So in this example, the circumference should be 2 * π * 2, or 4π. π is approximately 3.14159, so 4π is about 12.56636. And the ratio of this to the diameter (which is 4) is, if you look at how we got 4π, should be π no matter what.

Note: the definition of π is the ratio of a circles circumference to its diameter, so this makes sense.

Do you see how the approximate circumferences are slowly getting closer to the actual circumference of 12.56?: 11.75, 12, and 12.48

Look at the progression of approximate circumferences / diameter: 2.9375, 3, 3.12. These are slowly getting closer to π (3.14)

As you can see, the more sides, and the more "circular" the shape becomes, the closer the polygon/approximate circumference is to an actual circle.

I hope this helps! Feel free to ask any questions! :)

4 0

3 years ago

HELP PLEASE?????<br> !!!!<br> ????<br> ????

KonstantinChe [14]

A for sure, and maybe D?

7 0

4 years ago

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Use the simple interest formula to find the ending balance. $4000 at 6.5% for 5 years. Enter your answer in the box.

CaHeK987 [17]

Answer:

First find the total interest using Simple interest formula.

Given: The Sum(P) =$4,000, Rate (R%) = 6.5% and Time(T)=5 years.

To,calculate the total interest (S.I) on a principle amount (P) at a certain rate per annum (R), after a certain years of time(T) is calculated using formula:

$S.I = \frac{P\times R\times T}{100}$

Substitute the values of P, R and T in above formula to solve for total interest;

$S.I = \frac{4000\times 6.5\times 5}{100}=\frac{4000\times 65\times 5}{1000}$

Simplify:

$S.I = 4 \times 65 \times 5$ = $ 1300

Therefore, the total interest is, $1300

hence, the ending balance = P+S.I = $4000+$1300 = $5300.

6 0

3 years ago

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Jessica and her 2 sisters want to take a camping trip. They have $225 saved. Each of them will save $21 a week until they have a

Aleks [24]

Answer:

$561, yes!

Step-by-step explanation:

after 4 weeks, they will have 21*4=$84 per kid (4 kids). Therefore we need to multiply this by 4. 84*4=$336. You must remeber that they started with $225, so 225+336=$561, which is more than $512, so they can pay for the trip!

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3 years ago

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