A kite manufacturer produces two types of kites: standard and deluxe. The standard kite requires 2
meters of fabric and 5 meters of string, while the deluxe kite requires 3 meters of fabric and 7 meters
of string. If the manufacturer has 200 meters of fabric and 450 meters of string, how many of each
type of kite can they produce to maximize their profit?

Answers

Answer 1

The manufacturer should produce 50 of each type of kite to maximize their profit.

What is profit?

Profit is the financial gain that is achieved when the revenue received from a business activity exceeds the total expenses incurred in producing and selling goods or services. In other words, profit is the difference between the revenue generated by a business and the costs associated with running that business.

In the given question,

Let's use the following variables:

Let x be the number of standard kites produced.

Let y be the number of deluxe kites produced.

We want to maximize profit, so we need to first determine the profit function. Let's assume that the standard kite sells for $S and the deluxe kite sells for $D. The cost of producing each kite can be calculated as follows:

Standard kite cost: 2 meters of fabric + 5 meters of string = $2F + $5S

Deluxe kite cost: 3 meters of fabric + 7 meters of string = $3D + $7S

Therefore, the profit function can be expressed as:

P(x, y) = (S - 2F - 5S)x + (D - 3F - 7S)y

Simplifying this expression, we get:

P(x, y) = (-2F - 4S)x + (-3F - 7S)y + (S + D)

Next, we need to consider the constraints of the problem. The manufacturer has a limited amount of fabric and string available. These constraints can be expressed as follows:

2x + 3y ≤ 200 (fabric constraint)

5x + 7y ≤ 450 (string constraint)

We also have non-negative constraints:

x ≥ 0

y ≥ 0

To solve this problem, we can use linear programming. We want to maximize the profit function subject to the constraints. Using a solver, we can find that the optimal solution is:

x = 50 standard kites

y = 50 deluxe kites

Therefore, the manufacturer should produce 50 of each type of kite to maximize their profit.

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Related Questions

the companies bounce zone and jump world run many trampoline parks around the country. the box plots show the number of trampolines at their park. which conclusion is best supported by the box plots?

Answers

The conclusion that is best supported by the box plots on the trampoline parts owned by Bounce Zone and Jump World is B. For both companies, about 25% of the parks have 21 or fewer trampolines.

What does the box plot show ?

The box plot shows that both Bounce Zone and Jump World have 21 or fewer trampolines in about 25 % of their parks.

We know this because both Bounce Zone and Jump World have box plots where the box starts from 21 trampolines. The beginning of a box in a box plot represents the 25% mark or the first quartile so everything that falls below it is less than 25%. Bounce Zone and Jump World therefore have 21 or less trampolines in 25% of their parks.

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The options for the question is:

Bounce Zone has more parks than Jump World.For both companies, about 25% of the parks have 21 or fewer trampolines.Jump World has a park with 25trampolines, but Bounce Zone does not.For both companies, about half the parks have more than 26 trampolines.
the companies bounce zone and jump world run many trampoline parks around the country. the box plots

Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?

Answers

Answer: This is the answer. please give me the brainliest. Thanks

Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every

(ECONOMICS- sorry there’s no button for it )

What motivates producers and consumers in the black market

Answers

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the unit vectoru = cos ? i + sin ? j.f(x,y) = y/6x+y , p(2,0)

Answers

The directional derivative of f at P = (2,0) in the direction of the unit vector u = cos θ i + sin θ j is given by D_u f(P) = ∇f(P) - u = sin θ/12

Theorem 13.9 relates the directional derivative of a function to its gradient and the direction in which we are taking the derivative. Specifically, if f(x,y) is a differentiable function and u is a unit vector, then the directional derivative of f at a point P in the direction of u is given by:

D_u f(P) = ∇f(P) · u

where ∇f(P) is the gradient of f at P, and · denotes the dot product.

To use this theorem to find the directional derivative of the function f(x,y) = y/(6x+y) at P = (2,0) in the direction of the unit vector u = cos θ i + sin θ j, we first need to compute the gradient of f at P:

∇f(x,y) = (∂f/∂x, ∂f/∂y)

= (-y/(6x+y)^2, 1/(6x+y))

So at P = (2,0), we have:

∇f(2,0) = (0, 1/12)

Next, we need to compute the dot product of ∇f(2,0) with u:

∇f(2,0) · u = (0, 1/12) · (cos θ, sin θ)

= 0 + (1/12) sin θ

= sin θ/12

Note that the value of the directional derivative depends on the angle θ, and varies between -1/12 and 1/12 as θ varies between 0 and 2π.

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Use substitution to solve the system of equations. How many solutions are there?
3x - Žy=5
X=
y + 10
00:00
There are no solutions
00:00
There is one solution
00:00
There are infinitely many solutions,

Answers

Answer:

m. ,,,,

Step-by-step explanation:

bm

please help me will give brainliest. look at attachment

please help me will give brainliest. look at attachment

Answers

Answer:

The correct answer is Choice C.

Step-by-step explanation:

I drew a diagram of all the triangles to compare the statements given to each other

I marked the triangle sides with lines to show congruency in length.

One line for AB = DF

Two lines for AB = GI

Three lines for BC = HI

Four lines for DE = HI

The angles are all marked for the last sentence we are given.

The first and third triangles are the only ones similar. This is because of SAS congruence as given in the Diagram. AB = GI, angle B = angle I, BC = IH

The second triangle is different from the rest, and even if we tried to rotate it ad compare it, it would still be wrong.

please help me will give brainliest. look at attachment

consider the following graphs of linear equations. which line has a positive slope?​

consider the following graphs of linear equations. which line has a positive slope?

Answers

Answer:

line m  i think

Step-by-step explanation:

will mark brainleist pls help

will mark brainleist pls help

Answers

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

$7.99 by 16.2 ounces

Answers

Answer:

.49 if you're dividing them.

Step-by-step explanation:

a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)

Answers

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

plss help me!!!!!!!!!!​

plss help me!!!!!!!!!!

Answers

Answer: 12 outcomes total

Check out the diagram below

Edit: I added the tree diagram as well

===========================================================

Explanation:

I prefer to make a two way table for problems like this. Such diagrams make it fairly clear why multiplication is used when it comes to probability and counting problems.

Check out the diagram below.

The table has 6 rows and 2 columns.

The 6 rows represents the outcomes 1 through 6 on the number cube.

The 2 columns represent the outcome of heads (H) vs tails (T)

Inside the 6*2 = 12 inner cells, we'll have each outcome.

For example, the upper left corner has H1 to mean "flipped heads and got a 1 on the number cube". The next cell over is T1 to mean "tails on the coin, 1 on the number cube". The rest of the table is filled out in this manner.

plss help me!!!!!!!!!!
plss help me!!!!!!!!!!

If 50% of a number is 60, find 5% of that number.
i need it rn

Answers

Answer:

6

Step-by-step explanation:

if something has 60 as it's 50 percent, then 100 percent would be 120

now we have to find 5 percent of 120:

5/100 × 120= 6

Answer:

6

Step-by-step explanation:

the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?

Answers

Check the picture below.

the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13

a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6

no of times:. 12. 16. 25. 18. 15. 14

what is the probability of getting
1?
2?
3?
4?
5?
6?​

Answers

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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The constraints of a problem are listed below. What are the vertices of the feasible region?

\(x+y\leq 7\\x-2y\leq -2\\x\geq 0\\y\geq 0\)

Answers

The vertices of the feasible region is (4, 3)

What are the vertices of the feasible region?

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

x + y ≤ 7

x - 2y ≤ -2

x ≥ 0

y ≥ 0

Express as equations

So, we have

x + y = 7

x - 2y = -2

Subtract the equations

3y = 9

So, we have

y = 3

Next, we have

x + 3 = 7

This gives

x = 4

Hence, the vertex of the feasible region is (4, 3)

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The volume of the triangular pyramid below is 240 units. Find the value of a.
Answer: =
12
Submit Answer
15
مومی مرده

The volume of the triangular pyramid below is 240 units. Find the value of a.Answer: =12Submit Answer15

Answers

The value of x in the triangular pyramid is 8 units.

How to find the height of a pyramid?

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

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Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1

Answers

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

Suppose the population of a town is 9800 and is growing 4% each year a. Write an equation to model the population growth b. Predict the population after 12 years

Answers

Answer:

what only 5 points

Step-by-step explanation:

ha give me 5 star and a heart thanks

What is the instantaneous rate of change at x=2 for the function
f(x)= 2x - 5

Answers

The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

How to solve for the rate of change

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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Help me please with this maths question thank you

Help me please with this maths question thank you

Answers

Answer:

Step-by-step explanation:

A)

The opposite sides of a rectangle are equal. The width make this obvious because both of them are x.

B)

The lengths are not so obvious, but it is never the less true. The two sides are obvious and they are therefore true.

4x + 1 = 2x + 12                   Subtract 1 from both sides.

   - 1              -1

4x = 2x + 11                         Subtract 2x from both sides

-2x   -2x

2x  =  11                               Divide by 2

x = 11/2

x = 5.5

C)

P = L + L + w + w

P = 4(5.5) + 1  + 2(5.5) + 12 + 5.5 + 5.5

P = 22 + 1 + 11 + 12 + 11

P = 23 + 23 + 11

P = 57

PLEASE HELPPP WILL GIVE BRAINLEST?

PLEASE HELPPP WILL GIVE BRAINLEST?

Answers

P(A and B) is equal to 6.

To find P(A and B), we can use the formula:

P(A and B) = P(A) + P(B) - P(A U B)

Given the information:

P(A U B) = 32 (the probability of either event A or event B occurring)

Universal set contains 52 elements (total number of possible outcomes)

P(A intersection B) = 6 (the probability of both event A and event B occurring)

P(A) = 12 (the probability of event A occurring)

P(B) = 26 (the probability of event B occurring)

We can substitute the known values into the formula:

P(A and B) = P(A) + P(B) - P(A U B)

P(A and B) = 12 + 26 - 32

Simplifying the expression:

P(A and B) = 38 - 32

P(A and B) = 6

Therefore, P(A and B) is equal to 6.

The result indicates that the probability of both event A and event B occurring simultaneously is 6 out of the total number of possible outcomes in the universal set. It means that out of the 52 elements in the universal set, 6 of them satisfy the conditions of both A and B.

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Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

Answers

Step-by-step explanation:

the slope of a line is the ratio "y coordinate difference / x coordinate difference" when going from one point to another.

we see that x (time in hours) changes by +4 (from 8sm to 12pm).

and y (temperature) changes by +6 (from -2 to 6).

so, the slope is 6/4 = 3/2.

PLEASE HELP, I WILL MARK BRAINLIEST(no links)

PLEASE HELP, I WILL MARK BRAINLIEST(no links)

Answers

Answer:

d

Step-by-step explanation:

What is the surface area of the image below I’ll give b brainliest

What is the surface area of the image below Ill give b brainliest

Answers

Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

A group of 23 adults and 45 children are attending a play. Each row in the theater can seat 9 people.

What is the least number of rows needed to seat the group?

Answers

Answer:

At least 8 rows

Step-by-step explanation:

45 divided by 9 is 5. That is 5 rows

9x3= 27 and there are 23 adults. So that is 3 rows

5+3=8

8 rows in total.

A 3-gallon container of disinfectant costs $36.24. What is the price per quart?

Answers

Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390

Answers

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

someone pls help, i will give brainliest

someone pls help, i will give brainliest

Answers

Answer:

∠DOB= 48°

Step-by-step explanation:

→ Angle = 180

→ \(n^o+108^o+2n^o=180^o\)

→ \(3n^o+108^o=180\)

→ \(3n^o=72^o\)

→ \(n=72^o/3\)

→ \(n=24\)

∠DOB= 2n = 2× 24°

∠DOB= 48°

\(-----------\)

hope it helps...

have a great day!!

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 4
Blue 4
Green 15
Yellow 9
Purple 3
Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.

Answers

Step-by-step explanation:

OUT of  35 spins   4 + 15 + 3  = 22   were blue or green or purple

 22/35 probability  = 63%

It Quiz: Graphs and Measurement
Diana is making enough soup to feed 9 people. She plans to serve all of the soup to her guests in 6-ounce bowls.
In order to make enough soup, she needs to add a total of 4.75 cups of water. There are 8 ounces in a cup.
How many total ounces of water did Diana add to her soup? What is the total number of ounces of the other
ingredients in her soup? Explain how you found your answers.
Type your answer in the box below.
mentum
Copyright© 2022 Edmentum, Inc. All Rights Reserved
Privacy Policy California Priv
Mar 10
11:

Answers

Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

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