Oakton Manufacturing makes two types of rocking chairs specifically designed for men and women known as the His and Hers models. Each chair requires four legs and two rockers but differing numbers of wooden dowels. Each His chair requires four short dowels and eight long dowels while each Hers chair requires eight short dowels and four long dowels. Each His chair contributes $10 in profit while each Hers chair contributes $12. The company has 900 legs, 400 rockers, 1200 short dowels, and 1056 long dowels available. The company wants to maximize its profit while also ensuring that it makes at least half as many His chairs as Hers chairs.

Required:
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this problem.
c. Find the optimal solution.

Неоднородное ДУ второго порядка. Детали в аттаче.

Answer:

hope it helps you............

Answer:

2(y - 2)(y + 1)

Step-by-step explanation:

Given

2y² - 2y - 4 ← factor out 2 from each term

= 2(y² - y - 2) ← factor the quadratic

Consider the factors of the constant term (- 2) which sum to give the coefficient of the y- term (- 1)

The factors are - 2 and + 1, since

- 2 × 1 = - 2 and - 2 + 1 = - 1 , then

y² - y - 2 = (y - 2)(y + 1)

Then

2y² - 2y - 4 = 2(y - 2)(y + 1) ← in factored form

Answer:

(c) La media aritmética: 68.1

La mediana: 72.5

La moda: 78

La rango: 45 - 98

(d) La media aritmética: 175.81818181818 (175.8)  

La mediana: 78

La moda: 52

La rango: 8 - 589

(e) La media aritmética: 6.25  

La mediana: 7

La moda: 7

La rango: 3 - 9

(f) La media aritmética: 15.176470588235 (15.2)  

La mediana: 15

La moda: 15

La rango: 11 - 18

Step-by-step explanation:

¡Espero que esto haya ayudado!

the answer is b. insurance

Answer:

250mL/1hr

Step-by-step explanation:

0.5L  over 120 minutes

0.25L  over 60 minutes

250mL  over 60 minutes

Answer:

[tex]\text{A. }x=3[/tex]

Step-by-step explanation:

Recall the exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex]. Therefore, we can square both sides of the equation to get rid of the fraction in the exponent:

[tex]((8x-8)^{\frac{3}{2}})^2=64^2,\\(8x-8)^{\frac{3}{2}\cdot2}=64^2,\\(8x-8)^3=4096[/tex]

Take the cube root of both sides:

[tex]8x-8=16[/tex]

Add 8 to both sides:

[tex]8x=24[/tex]

Divide both sides by 8 to isolate [tex]x[/tex]:

[tex]x=\frac{24}{8}=\boxed{3}[/tex]

Answer:

Step-by-step explanation:

W=2L-2

A=72

LW=72

L(2L-2) = 72

2L^2 -2L= 72

2L^2 -2L-72=0

L^2 - L -36 = 0

L= -5.52 or 6.52(neg # not a solution)

W=11.04

L=6.52

DIAG = [tex]\sqrt{11.04^2+6.52^2}[/tex] = 12.82

~~~~~~~~~~~~~~

Step-by-step explanation:

oth term ? please check.

Answer and Step-by-step explanation:

The 3D shape shown is a rectangle. This is the net-form of a rectangle.

#teamtrees #PAW (Plant And Water)

Answer:

rectangular prism

Step-by-step explanation:

a rectangle is not 3d. a rectangle is 2d. the correct answer is a rectangular prism.

Answer:

ok so if it is 30 dollars per hour so 30h plus 20 so

f=30h+20

Hope This Helps!!!

Answer:

[tex]4 ^{-3}[/tex]

or

[tex]\frac{1}{4^3}[/tex]

or

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

four to the negative power of 3 is =  4⁻³

Step-by-step explanation:

The answer is A (the first one). 4 to the negative 3rd power is 4^-3

Answer:

Thw sum of 1/4 and 1/2 is 3/4

Step-by-step explanation:

You have to put them in common like terms so

1/4 + 1/2 = ?

1/4 + 2/4 = 3/4

1/4 + 1/2

(1 + 1*2)/4

3/4

I hope it's help you...

Mark me as brainliest...

Answer:

Step-by-step explanation:

1) (20 -2) * 180 = 3240 (sum of the inner angles)

3240 : 20 = 162 degrees

2)  (I) 180 - 162 = 18 degrees

(ii)

a = 3 (it is an equilateral triangle)

b = 5 (it is a pentagon)

c = 24

Answer:

1. 180(n-2) gives you the angle sum

devide by n to get the value of one interior angle

n are the number of sides, or corners

180(20-2)/20 = 162° is the interior angle.

the exterior angle is just 360°-162° = 198°

2i) seems to be included in 1), pls clarify if that's not the case.

remember

180(n-2)/n = int.angle

let's do this with (a) 60°

180(n-2)/n = 60

(180n-360)/n = 60 |*n

180n-360 = 60n |-180n

-360 = -120n |/(-120)

3 = n

2iia) 3 sides / triangle

2iib) 5 sides / pentagon

2iic) 24 sides

Answer:

If -5 and 4 are the zeroes of the polynomial, Then , (X+5) and (X-4) are the factors of the polynomial. This is the required polynomial.

Hope this answer is right!!

Answer:

Tony wants to save $10000 in 6 years. which is approx $123. Hence final answer is C) $123.

Answer:

c

Step-by-step explanation:

We have been given that Tony wants to save $10000 in 6 years.

That means future value S = $10000

Time t= 6 years

Interest rate = 4% yearly = 0.04 yearly

n=12 months per year

Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is

which is approx $123.

Hence final answer is C) $123.

Answer:

all real numbers greater than or equal to 0

Step-by-step explanation:

The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.

Answer:

301.59

Step-by-step explanation:

V=1/3hπr²

sorry in advance if its wrong, this is my 1st time answering this type of question. that's what i got for the answer

Answer:

For every 7 hair bands there will be 4 ribbons

7 hair bands →→ 4 ribbons

14 hair bands →→ 8 ribbons

21 hair bands →→ 12 ribbons

etc.

Answer:

b+3 or 3+b

Step-by-step explanation:

Answer:

Kindly check attached picture

Step-by-step explanation:

The expected graph is attached in the picture below :

Since additional fee is charged on only luggage exceeding 50 pound weight :

The inequality is :

Additional fee applied to :

Weight > 50

Hence x our arrows starts from 50 to the right of the number line

1. Y-Intercepts are where the graph crosses the y-axis. For a parabola, this occurs once, at (0, -3) in the graph shown.

2. X-Intercepts are where the graph crosses the x-axis. For a parabola, this occurs twice, at (-1, 0) and (3, 0) in the graph shown.

3. A parabola that is positive opens upwards, while a parabola that is negative opens downwards. Therefore, this parabola is positive.

Hope this helps!! :)

Answer:

theta = arctan 8/5 = 58 degrees

Step-by-step explanation:

The tangent function relates the angle theta to the two side lengths 5 and 8:

tan theta = 8/5               We need to find the angle, theta.

Using a calculator with the inverse tangent funtion built-in, we find that the angle theta is

theta = arctan 8/5 = 58 degrees.

Answer:

Total Cost, C(x) = 21000 + 11.60x

Revenue, R(x) = 20(x)

Step-by-step explanation:

Given the investment, which is fixed cost = $21000

Per unit cost of product = $11.60

Selling price = $20

Total cost is the sum of fixed cost and the variable cost:

Thus, TC = FC + VC

Let the number units = x

C(x) = 21000 + 11.60x

Now the total revenue:

R(x) = 20(x)

Step-by-step explanation:

we don't see the complex numbers.

so, we cannot check their distances.

a suspicion, though.

sqrt(45) a distance between 2 complex numbers is

sqrt(a² + b²).

so,

a² + b² = 45

a nice combination of whole square numbers would be 6 and 3.

6² + 3² = 36 + 9 = 45

if that is the case, then that would mean one of the following committed numbers

6 + 3i

3 + 6i

-6 + 3i

6 - 3i

-6 - 3i

-3 + 6i

3 - 6i

-3 - 6i

one of these numbers must be the result of the subtraction of the 2 provided complex numbers.

remember

(a + bi) - (c + di) = a-c + (b-d)i

Answer:

2.45.250- 94.750

= 92. 2975. this is the learners who got the admission

Answer:

1,50,500 students

Step-by-step explanation:

Hope this helps... vote as brainliest

Answer:

Step-by-step explanation:

I think the quotient of the ratio is the scale factor.

C'A' / CA = 8/4 = 2

So since the scale factor is 2 it means that the triangle on the right has dimensions that are twice those of the triangle on the left.

If you need more, let me know.

Answer:

c and e

Step-by-step explanation:

they each need to have 2 seperate numbers c and e do that!

Answer:

(d) (5.71, 7.89)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 21 - 1 = 20

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.086

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.086\frac{2.4}{\sqrt{21}} = 1.09[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6.8 - 1.09 = 5.71 years

The upper end of the interval is the sample mean added to M. So it is 6.8 + 1.09 = 7.89 years

So the confidence interval is (5.71, 7.89), and the correct answer is given by option b.

Answer:

y ≈ 13.5

Step-by-step explanation:

In the given right triangle we have to find the measure of unknown side 'y'.

Since, measure of opposite side and adjacent side of the angle measuring 74° have been given,

We will use tangent ratio for the given angle.

tan(74°) = [tex]\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}[/tex]

tan(74°) = [tex]\frac{47}{y}[/tex]

y = [tex]\frac{47}{\text{tan}(74^{\circ})}[/tex]

y = 13.48

y ≈ 13.5 units

Answer: 5

Step-by-step explanation:

Data: Half of 25% of 0.2 of 200=x

Step one, Find 0.2 of 200

0.2=20%

20% of 100=20 so 20% of 200=40

Reason: 0.2 is another way of writing 20% so you can find 20% of 200 with a shortcut. basically since 20% of 100 is 20 and 200 is 100x2 you can just multiply 20x2 to get 20% of 200, which is 40.

Step two, Find 25% of 40

40/4=10 which means 4x10=40

10=25% of 40

Reason: Since percent is based of 100, we know that multiplying 25 by 4 will get us 100 so all we need to go to find 25% of something it divide it by 4. 40/4 is 10 so 10 would be 25% of 40(0.2 of 200)

Step three, Find half of 10

10/2=5

Reason: To find the half of anything, you insert the number(x) into here 'x/2' or just divide it by two, it's the same thing. And since 10/2 is 5 half of 10 is 5.

So, half of 25% of 0.2 of 200 is 5

I hope this helps!