By graphing the system of constraints, find the values of x and y that maximize the objective function.
x+y≤8
2x+y≤10
x≥0
y≥0

Can someone explain to me how to solve this/these types of problems? Don't just answer it, explain.

Answers

Answer 1
The easiest method to solve problems like this is to graph the inequalities given and shade the regions that make them true. When you have properly shaded all of the regions, you will find that you have a region which is bounded on all four sides by one of the inequalities, and then you can find the x and y values which correspond to the vertices of the shaded region.

You didn't provide a function that you are trying to maximize in this example, but the idea is that you take all of the (x,y) points which correspond to the vertices and plug them into your objective function. The one which produces the largest value maximizes it (it is a similar process for minimizing it, but you'd be looking for the smallest value). Let me know if you need more help than that, or would like me to work out the example you have provided (I will need an objective function for it though).

Related Questions

PLZ HELP! IN DESPERATE NEED OF HELP! Thx! Remeber to SHOW ALL OF YOUR WORK! Thx so much! :)

Answers

well everything equals 360 degrees right ? do 128-68 which is 60 then divide that by 2 so x equals 30 and y equals 30. 

can a quadrilateral have 4 obtuse angles

Answers

No. It can have at most 2

A quadrilateral cannot have 4 obtuse angles

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

A quadrilateral

By definition, the sum of angles in a quadrilateral is 360

And an obtuse angle is greater than 90

So, we have

Sum = 4 * greater than 90

Evaluate

Sum = greater than 360

This means that a quadrilateral cannot have 4 obtuse angles

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what is the range of 34, 56, 13, 98, 75

Answers

the range is the highest number minus the lowest number

98 - 13 = 85 <==

Answer:

Range = 85

Step-by-step explanation:

The formula for range of a data set is

Range = Maximum value - Minimum value

The given data set is

34, 56, 13, 98, 75

In this data set we have,

Maximum value = 98

Minimum value = 13

The range of given data set is

Range = 98 - 13

Range = 85

Therefore, the range of the data is 85.

Which of the following is an equivalent statement?

CD overbar is similar to XY overbar
CD overbar is congruent to XY overbar
CD overbar equals XY overbar
CD overbar is an element of XY overbar

Answers

I think that it is CD overbar equals XY overbar i think but i really don't know.

Answer:

3

Step-by-step explanation:

a mathematical term that does not include an equal or inequality sign is called an

Answers

This is an expression.

x/3 >-1 graph and check solutions

Answers

[tex]\dfrac{x}{3} > -1\ \ \ \ |\cdot3\\\\x > -3\to x\in(-3;\ \infty)[/tex]

Claudia is reading a book that has 360 pages. she read some book last week. She plans to read 46 pages today when she does she will be 4/5 of the qay through the book. How many pages did she read last week?

Answers

4/5 of 360 is 288, but that's how much she read after today so last week she read that much minus 46 which is 242
your answer is 242.
I hope this helps you out.

what is 235 written as a product of prime factors?

Answers

235/5 = 47

5 and 47 are prime, so

235 = 5 * 47
5 divides into 235 without a remainder; the quotient is 47.  47 is prime; it does not have integer factors other than 1 and 47.

Thus, 235 = 5(47)   (answer:  product of prime factors)

Jeff left 13% tip at a restaurant where the bill was $29.62. How much did Jeff leave as a tip?

Answers

Jeff left a tip of $3.86

Final answer:

To calculate Jeff's tip, multiply 13% as a decimal (0.13) by the bill amount of $29.62, which equals a tip of $3.85.

Explanation:

To calculate how much Jeff left as a tip at the restaurant, we need to find 13% of his bill total, which was $29.62. To do this, convert the percentage to a decimal by dividing by 100 (which makes 13% become 0.13) and multiply that by the bill amount.

So, the calculation will be:

0.13 * $29.62

When you perform this calculation:

$3.85 (rounded to the nearest cent)

Jeff left a $3.85 tip at the restaurant.

Danielle works as a cashier in a bookstore she works 35 hours a week and earns $11 an hour each week Daniella spends $300 answer saves the rest . Danielle estimates that she earns about $20000 per year is this estimate accurate? explain

Answers

Danielle's estimate of earning about $20,000 per year is accurate, as the calculation based on her hourly wage and weekly hours worked gives an actual annual income of $20,020.

Danielle's estimate of earning about $20,000 per year is accurate based on her hourly wage and weekly hours worked. To assess the accuracy of her estimate, we need to calculate her actual annual income.

Danielle earns $11 per hour and works 35 hours a week. Therefore, her weekly earnings are:

35 hours/week × $11/hour = $385/week.

As there are typically 52 weeks in a year, her estimated annual income would be:

52 weeks/year × $385/week = $20,020/year.

This calculation shows that Danielle's estimate of making about $20,000 per year is indeed accurate.

Can someone please help me with this? I will appreciate it

Answers

It’s the third one. I hope this helps out!

Which is bigger? 0.5 or 0.2

Answers

0.5 is bigger than 0.2

0.5 is bigger because it is closer to 1.

If you make them percentages, 50% is greater than 20%.

Hope this helps!
0.5 is bigger bc 0.2 is smaller

A cube has a volume of 216 cubic centimeters. What can be concluded about this cube?

Answers

s = edge length
Vol = s^3 = 216

There are 6 faces, each has an area of s^2

volume = 216

 side = cubic root(216)

 the length of a side = 6 centimeters

Explain whether or not you think the relationship is linear or not.

The pond in Tom’s backyard holds 50 gallons of water and recedes at a rate of 5 gallons per day.

Answers

It’s nonlinear because the 50 isn’t changing so if you made a graph of this problem (y=5x+50) it would not be a straight line.

zachary purchased a computer for 1800 on a payment plan. three months after he purchased the computer, his balance was 1350. five months after he purchased the computer, his balance was 1050. what is an equation that models the balance b after m months

Answers

1800 - 1350= 450 3 months after the purchase he payed $450
450/3= $150 per month

1350 - 1050= 300 5 months AFTER THE PURCHASE he payed $300
300/2= $150 per month
^after 2 more months he payed $300^

$150 per months

Equation: (initial amount) - (150)M
M= amount of months after purchase

B = 1800 - 150M




The equation that models the balance b after m months is b = 1800 - 150m

Initial cost = 1800

Difference in balance = 1350 - 1050 = 300

Number of months used = 5 months - 3 months = 2 months

Therefore, the equation that models the balance b after m months will be:

b = 1800 - (300/2)m

b = 1800 - 150m

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in triangle abc,angle a=3x+1,angle b=4x-17,and angle c=5x-20.what type of triangle is angle abc

Answers

(3x + 1) + (4x - 17) + (5x - 20) = 180
12x - 36 = 180
12x = 216
x = 18
angle a = 55
angle b = 55
angle c = 70
This is an acute isosceles triangle.

The sum of the three internal angles in a triangle is equal to 180 degrees.

a = 55°

b = 55°

c = 70°

The triangle abc is an acute isosceles triangle.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three internal angles is equal to 180 degrees.

We have,

Three angles of the triangle:

a = 3x + 1

b = 4x - 17

c = 5x - 20

The sum of the three angles of a triangle is 180 degrees.

a + b + c = 180

3x + 1 + 4x - 17 + 5x - 20 = 180

12x - -36 = 180

12x = 180 + 36

12x = 216

x = 216/12

x = 18

Now,

The angles are :

a = 3 x 18 + 1 = 54 + 1 = 55

b = 4 x 18 - 17 = 72 - 17 = 55

c = 5 x 18 - 20 = 90 - 20 = 70

We see that all their internal angles are acute angles.

This is an acute isosceles triangle.

Thus,

The triangle abc is an acute isosceles triangle.

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List factor pairs of 56

Answers

1 and 56, 2 and 28, 4 and 14, 7 and 8
Factor pairs are pairs of numbers that, when multiplied together, equal the original number. Prime numbers only have the factors 1 and the number itself.
I start by prime factoring the number, then combining our primes to make the factor pairs:
56 = 8 x 7
56 = 2 x 2 x 2 x 7

For 56, we have:
1 and 56
2 and 28  (2, then combine 2 x 2 x 7)
4 and 14   (2 x 2 = 4 , then combine 2 x 7=14)
7 and 8     (2 x 2 x 2=8, then 7)

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4y−2(3/2y−5) simplify

Answers

First you distribute:
4y - (2 * [tex] \frac{3}{2} [/tex]y) - (2 * 5)
4y - 3y - 10

Then you combine like terms:
(4y + -3y) - 10
1y - 10

Simplify:
y-10

What is −412√+75√ in simplest radical form?

Answers

Ok  
√12 = √4 * √3 = 2√3
√75 = √25*√3 = 5√3

so 4√12 + √75 = 4*2√3 + 5√3  = 13√3  answer
Answer:  13√3.

Step-by-step explanation: Given radical expression 4√12 + √75.

Let us simplify each of the radical separately first.

√12 = √(2×2×3) = 2√3

Therefore, 4√12 = 4 × 2√3 = 8√3.

√75 = √(3×5×5) = 5√3

Therefore 4√12 + √75  => 8√3 + 5√3.

Adding like radicals, we get

8√3 + 5√3 = 13√3.

Therefore, 4√12 + √75 = 13√3.

what does a negative y-intercept mean for real world application?

Answers

Like a person with a $1,000 debt and starts making monthly payments, the money that person owes becomes less and less each month.

Final answer:

A negative y-intercept in a real-world context indicates that the system or condition being measured starts below the baseline or has a deficit to begin with. It can represent an initial loss in economics, such as starting with debt or needing initial investment. The slope of the line is critical to understanding how changes in one variable affect another.

Explanation:

A negative y-intercept in a real-world application can have various implications depending on the context. In many scientific experiments, the y-intercept represents the baseline level of the system without any experimental conditions applied. If the y-intercept is negative, this might indicate that in the absence of a certain factor (represented by the x-variable), the system has a deficit or a reduction in the measured quantity. For instance, if we are plotting a graph of growth over time, a negative y-intercept could imply that there was an initial debt or loss before measurements began.

When it comes to economics and data models, a negative y-intercept on a graph could represent a starting deficit. For example, a company might have initial losses (negative y-intercept) that it seeks to overcome as production (x-variable) increases. Supply and demand models, cost projections, and similar economic graphs can also have negative y-intercepts indicating starting positions below zero on the graph—such as starting with a debt or having to invest before seeing any return.

The y-intercept and the slope (m-term) together specify a particular line on a graph that can offer a reasonable approximation of real-world data. Economists find the slope particularly useful as it shows the relationship between two variables, like how a change in price affects the quantity supplied.

What is 212.8 divided by 3.8? Plz Help!!

Answers

easy.

212.8 divided by 3.8 is equivilant to 56. You would solve this by working a long division equation. Please give brainliest, I really need virtuoso.
212.8 divided by 3.8 equals 56. Hope this helped have a good day!

Please help asap! Number 2 , picture is included! (10 points)

Answers

So, first, we know that the whole angle must equal 90 because there's a right angle symbol, and right angles equal 90 degrees.

So, 43 + x + 3 must equal 90.

Or, 46 + x = 90

Then subtract 46 from both sides.

x = 90 - 46

x = 44

These would also be adjacent angles because they share the same vertex.

The coordinates of the vertices of ΔXYZ are (4, –1), (2, –4),
and (7, –4).
The coordinates of image ΔXʹYʹZʹ are (−4, −1), (−2, −4), and (−7, −4).
This transformation can be expressed as (x, y) ⟶ (−x, y).

Is the orientation of ΔXYZ the same as the orientation of ΔXʹYʹZʹ?
Why or why not?

Answers

No because when you graph both triangles on a graph the points do not correspond to the same place. Hope this helps

the soccer field at Mario's school has an area of 6,000 square meters. how can mario show the area as a whole number multiplied by a power of 10?

Answers


6,000 = 6 x 10^3 square meters.
6,000 = 60 x 10^2 square meters
6,000 = 600 x 10^1 square meters.
You can pick which you wish to report in.
Hope this helps :-)

Answer: [tex]6\times10^3[/tex] square meters.

Step-by-step explanation:

Given : The soccer field at Mario's school has an area of 6,000 square meters.

Here, 6,000 can be written as [tex]6\times1,000[/tex]

And [tex]1000=10\times10\times10=10^3[/tex]   [using exponents]

Then, 6,000 can be written in the form of a whole number multiplied by a power of 10 as [tex]6,000=6\times10^3[/tex]

Hence, Maria can show the area as [tex]6\times10^3[/tex] square meters. .

Помогите пожалуйста

Answers

It is irrational because it cannot be written as a ration of two integers . 

65 in. =__ft.

A. 6 5/12 ft.
B. 12 ft.
C. 5 5/12 ft.
D. 780 ft

Answers

there are 12 inches in one foot. divide 65 inches by 12 inches.

65/12= 5.416666667

as a fraction, this equals C, or 5/12.

Hope this helps and have a great day! :D
12+12+12+12+12=60+5in=65
1     2    3    4     5

C.  5 5/12

How much change will you get back if you bought three $0.99 chocolate bars and paid with a $5 bill

Answers

you will get two dollars
0.99 times 3 is 2.97 and 5.00 subtract 2.97 is 2.03

The change would be $2.03

The cost of a ticket to an amusement park is $42 per person. For groups of up to 8 people , the cost per ticket decreases by $3 for each person in the group .Marcos’s ticket cost $30. Write an solve an equation to find the number of people in Marcos’s group.

Answers

Marco's ticket decreased by twelve dollars. That means his richer was decreased four times. That means, he came with a group of 32 people.

Convert: 2°C to °F (to the nearest tenth).

Answers

i feel like it is 35.6° 

Please help I dont know what to do!!!
#1 x÷4=3.5÷28
#2 3/5 + 4/5x +7/10x + 1 1/2 = 5 3/5
Thank you so much guys!!!!!!!!

Answers

Hey John

Let's start solving #1

x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2

Next, let's solve the second one

[tex] \frac{3}{5} + \frac{4}{5x} + \frac{7}{10x} + 1 \frac{1}{2} = 5 \frac{3}{5} [/tex]
Simplifies to:
[tex] \frac{105x+75}{50x} = \frac{28}{5} [/tex]
Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7

Let me know if you have questions about the answer.

Best of luck with your studies!

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