The roots of the quadratic function describing the relationship between number of products produced and
overall profit margin are x = 0 and 26. The vertex is (13, -50).
The vertex is a minimum at (13, -50). The company actually loses money on their first few products as it
costs them more to make them, but once they hit 26 items they break even again.
The worst case scenario is that they produce
first root tells us that the profit will be 0 when
Check
items, as they will have a profit of
products are sold.
dollars.

The Roots Of The Quadratic Function Describing The Relationship Between Number Of Products Produced Andoverall

Answers

Answer 1
Once they hit 26 items they break even again. The worst case scenario is that they produce 13 items, as they will have a profit of -50 dollars because the minimum point is at (18, -35). Also, the first root tells us that the profit will be 0 when 0 products are sold.

What is profit?

In Economics, profit can be defined as a measure of the amount of money generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

This ultimately implies that, all producers of any product generally work to maximize their profits and make them as large as possible, in order to enable them break even and successful.

Based on the information provided, we can logically deduce that this function has its roots at x = 0 and x = 26 and its vertex is a minimum. Thus, this quadratic function which describes the relationship between the number of products produced and the overall profit margin is an increasing function:

0 < x < 26, f(x) < 0, which implies a negative profit is generated when between 0 and 26 items are produced.x > 26, f(x) > 0, which implies a positive profit is generated when more than 26 items are produced.x is equal to 26 is the break even point.

Therefore, once they hit 26 items they break even again. The worst case scenario is that they produce 13 items, as they will have a profit of -50 dollars because the minimum point is at (18, -35). Also, the first root tells us that the profit will be 0 when 0 products are sold.

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Related Questions

Pls help extra points and mark brainlist

Answers

Answer:

the answers are a and d

Step-by-step explanation:

x+x+x=3x and you can't add a constant (2) to a variable(3x) so it would just be 3x+2

Problem: A federal agency is deciding which of two waste dump projects to investigate. A top administrator estimates that the probability of federal law violations is 0.30 at the first project and 0.25 at the second project. Also, he believes the occurrences of violations in these two projects are mutually exclusive (that is, the events are disjoint).

a). find the probability of federal law violations in the first project or the second project.
b). given that there is not a federal law violation in the first project, find the probability that there is a federal law violation in the second project.
c). In reality, the administrator confused mutually exclusive and independent, and the events are actually independent. Answer (a) and (b) with this correct information.

Answers

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For point (a) :

In this, two points are  exclusive to one another,  it is a probability that first or the  second project will have breaches,

[tex]\to P = P(A) + P(B)[/tex]

       [tex]= 0.3 + 0.25\\\\= 0.55[/tex]

Since the p(A & B)=0  is mutually exclusive.

For point (b):

[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]

       [tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]

For point (c):

 if both a and b are independent:

(a):

[tex]P = P(A) + P(B) - P(A)\times P(B) \\\\[/tex]

   [tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]

(b):

[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]

   [tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]

Which of the following equals sin A?

Ignore my answer.

Answers

Answer:

You are correct it is A. cos B

Step-by-step explanation:

write the number 31 in tens and ones. 2 tens ? Ones​

Answers

Answer:

you could do 3 tens and 1 ones or 2 tens and 11 ones

Step-by-step explanation:

hope this helps!

If a point is equal distance from the 2 sides of an angle it is
A. on the perpendicular bisector
B. on the angle bisector
C the vertex of the angle
D on one side of the angle

Answers

Step-by-step explanation:

option A is the correct answer according to me .

plz mark my answer as brainlist if you find it useful.

Answer:

The answer is B

Samuel brought a new bile for $350. Each year the value of the bike decreases by 12%. Find the value of the bike at the end of 5 years?

Answers

Answer:

$140

Step-by-step explanation:

Solve for x.
7x= 11.2

Answers

Answer:

X = 1.6

Step-by-step explanation:

Divide 7 on both sides:

7x = 11.2

x = 1.6

X, therefore, is 1.6.

Hope this helps!!

- Kay :)

x= 11.2/7
x= 1.6

7 x 1.6 = 11.2
11.2 = 11.2

12. A staffs shadow is 8 feet and a tree's shadow is 16 feet. If the staff is 9 feet tall, how tall is the tree?
A. 15 ft
B. 18 ft
C. 12 ft
D. 9 ft

Answers

Answer:

18 ft

Step-by-step explanation

1. Put 8/16 like a fraction and since we do not know the height of the tree yet we put the height as 9/d.

2. We have to cross multiply so we multiply 8 by d and we get 8d. Then we multiply 9 by 16 and we get 144.

3. We divide both sides by 8 so we can get (d) by itself and we divide 144 by 8 also.

4. We get d = 18

The answer is correct but my explanation is a little hard to read so sorry about that :)

Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL

Answers

Answer:

should be segment BT, that's what i put and it was right. hope this helps

Step-by-step explanation:

The altitude to the line segment AC is line segment BL.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, L, M, N are midpoints.

We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.

By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.

learn more about the altitude of a triangle here :

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3x+4x+5x= need help asap​

Answers

Answer:

12x

Step-by-step explanation:

3 + 4 + 5 = 12

Answer:

12x

Step-by-step explanation:

we add all of them and we get 12x

the area of a rectangle is 18cm square. what coul it dimension be?​

Answers

P=a*b

a=P/b

a=18/b

Pairs of the solution (only integer numbers):

b=9, a=2

b=2, a=9

b=6, a=3

b=3, a=6

b=18, a=1

b=1, a=18

Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *
x=5
x=16
x=14
x=45

Answers

Answer:

x = 14

Step-by-step explanation:

___________________________________________________________

FACTS TO KNOW :-

Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.

___________________________________________________________

In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.

As they are supplementary angles , their sum will be 180°.

So ,

[tex](3x) + (7x + 40) = 180[/tex]

[tex]=> 3x + 7x + 40 = 180[/tex]

[tex]=> 10x + 40 = 180[/tex]

Substracting 40 from both the sides ,

[tex]=> 10x + 40 - 40 = 180 - 40[/tex]

[tex]=> 10x = 140[/tex]

Dividing both the sides by 10 ,

[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]

[tex]=> x = 14[/tex]

Please help I really need help please ans thank you ​

Answers

Answer:

see below

Step-by-step explanation:

x = 63 and y = 27

180 - 117 Gives 63

Answer:

x=63

y=27...............

Please help me with this equation below.

Answers

Answer:

a) We have an aspect ratio of 4:3

This means that the width of the screen, W, is about 4/3 times the height of the screen, H.

Then we have the equation:

W = (4/3)*H

And the diagonal of a rectangle with width W and height H is:

D = √(W^2 + H^2)

Then if we have a 15 in TV, then we have D = 15 in.

Then we have:

15 in = √(W^2 + H^2)

Now we can use the relation W = (4/3)*H and replace this in the above equation:

15 in = √(((4/3)*H)^2 + H^2)

Now we can solve this for H:

15in = √( (16/9)*H^2 + H^2)

(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2

(9/25)*(15in)^2 = H^2

√( (9/25)*(15in)^2) = H

(3/5)*(15in) = H = 9 in

The height is 9 inches, and the width will be:

W = (4/3)*9in = 12in.

Now let's do the same for a 42 in tv.

We can use the same equation than before, this time we get:

42 in = √(((4/3)*H)^2 + H^2)

We can do the exact same procedure as before, and we will get:

(3/5)*(42in) = H = 25.2 in

Then the width is

W = (4/3)*H = (4/3)*25.2in = 33.6 in

b) Now we do the same, but now we have the relation:

W = (16/9)*H

Then if D is the diagonal, we have the equation:

D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)

This time we can simplify it for any general D.

D^2 = (16/9)^2*H^2 + H^2

D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2

D^2 = (337/81)*H^2

(81/337)*D^2 = H^2

√( (81/337)*D^2) = H

(9/18.36)*D = H

Then if we have a 42 in TV, the height is:

(9/18.36)*42in = H = 20.59 in

And the width will be:

W = (16/9)*H = (16/9)*20.59in = 36.60 in

If we have a 60 in TV, we get:

(9/18.36)*60in = H = 29.41 in

And the width will be:

W = (16/9)*H = (16/9)*29.41in = 52.29 in

c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.

simplify (-4/5)^9/(-4/5)^10​

Answers

Answer:

so (-4/5)^9/(-4/5)^10=−1,25

Solve 81^x= 27^x + 2

Answers

Answer:

x=6

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases then solve for X.

Hope this helped have a good one.

We need to get the tomatoes from farm to the stores. We have tomato farms we can buy from in California and Florida. It cost .25 per pound to buy tomatoes from California. It costs .15 per pound to buy Florida tomatoes. California has available 6,000 pounds of tomatoes and Florida has available 8,000 pounds of tomatoes. Our stores are in Tampa, Atlanta and Dallas. Tampa needs 3,000 pounds, Atlanta needs 4,000 pounds and Dallas needs 5,000 pounds. Choose the appropriate technique to minimize the total shipping cost.

a. Forecasting / time series analysis
b. Linear programming model
c. Regression analysis
d. None of the above

Answers

Answer:

b. Linear Programming model

Step-by-step explanation:

Correct option is b. Linear Programming model.

As we know that, Linear programming model is a technique that used to find the optimal solution of a given problem with the available resources.

what is the answer to 20×5=​

Answers

100! glad i could help :)
Answer: 100

Hope this helps

Angle is comparing the price of each shirts for summer camp at two companies.. Company A charges an initial fee of $50 and $12 per shirt Company B charges and initial fee of $10 and $15 per shirt. Evaluate the expressions 50 + 12x and 10 +15x =40 to find the total cost to print 40 shirts at each company. What is the difference in cost between the companies

Answers

Answer:

Company A's cost would be $530

Company B's cost would be $610

difference is $80

Step-by-step explanation:

please help me really fast

Answers

Answer:

$30.00 fee

$45.00=total bill

$0.10 per minute of usage

x = minutes used

$30.00 + 0.10 per minute = $45.00

$30.00+$0.10(x) = $45.00

$0.10(x) = $45.00-$30.00 = $15.00

x = $15.00/$0.10 = 150 minutes used

Which of the following goes through (-2,4)

-x+3y=10

2x-2y=-4

-3x+y=10

x-y=6

Answers

-3x+y=10 is the answer. If you plug the coordinates in to the respective spots (-2 for x and 4 for y), you will get an equal true statement.

The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. What is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?

Answers

Answer:

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a random sample of 500 employees, 15 reported owning an electric car.

This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]

The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).

You can find the standard mean error and then use that to find the confidence interval limits.

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

How to find the confidence interval for proportions?

Let the sample size be n

Let the interested quantities in the sample be present x times

Let the confidence level be of p%.

Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]

The standard mean error is calculated by:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]

Then the confidence interval limits can be found by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]

Using above formula for finding the confidence interval

We have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]

Finding the standard mean error:

[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]

From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758

Thus, the confidence interval is obtained by

[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]

Lower limit = 0.0104

Upper limit = 0.0496

Thus,

The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by

Lower limit = 0.0104

Upper limit = 0.0496

The confidence interval is (0.0104, 0.0496) (can include those end points too)

Learn more about confidence interval here:

https://brainly.com/question/16427118

write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7​

Answers

Answer:

1. -8 , -5 , 1 , 2

2: -5, -4 , -3 , 2

3: -15, -10, -7

Step-by-step explanation:

Given

1. -5, 2, 1, -8

2. -4, -3, -5, 2

3. -10, -15,-7​

Required

Sort in ascending order

To write in ascending order, means that the number must increase from left to right.

So, we have:

1. -5, 2, 1, -8

From left to right, we have:

[tex]-8 < -5 < 1 < 2[/tex]

Hence, the sorted list: -8 , -5 , 1 , 2

2. -4, -3, -5, 2

From left to right, we have:

[tex]-5 < -4 < -3 < 2[/tex]

Hence, the sorted list: -5, -4 , -3 , 2

3. -10, -15,-7​

From left to right, we have:

[tex]-15 < -10 < -7[/tex]

Hence, the sorted list: -15, -10, -7

if (2x+3):(3x+2)=5:7,find the value of x​

Answers

Answer:

Given: The mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2

 Mean = 4(x+2)+(2x+3)+(3x+4)+(4x+5)

 ⇒x+2=410x+14

 ⇒4x+8=10x+14   

 ⇒6x=−6   

 ⇒x=−1   

[tex]express each ratio in its simplest form \: 18hours to 2day

Answers

Answer:

Step-by-step explanation:

18 hours : 48 hours = 3:8

-18 = –1(x – 11) solve this equation

Answers

Answer:

X= 29

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

Let's solve your equation step-by-step.

−18=−1(x−11)

Step 1: Simplify both sides of the equation.

−18=−1(x−11)

−18=(−1)(x)+(−1)(−11)(Distribute)

−18=−x+11

Step 2: Flip the equation.

−x+11=−18

Step 3: Subtract 11 from both sides.

−x+11−11=−18−11

−x=−29

Step 4: Divide both sides by -1.

-x/1 = -29/-1

hope this helped:')

18=a ÷ 12


Find the introvert

Answers

Answer:

a = 216

Step-by-step explanation:

Which of the following shows the equation after both sides have been distributed
-4(x - 2) = 5(3x – 8)
A. 4x-8=15x-40
B. 4x-6=15x-3
C. 4x+8=15x-40
D. 4x+8=15x+40

Answers

A. 4x-8=15x-40 is the right answer (though I think the 4 should be negative)

Each package contains four boxes .each box contains a 7 pound bag of beans and a bag of rice. the bags of rice are all identical

Answers

Answer:

28

Step-by-step explanation:

if you asking for  how much it weighs then this is the answer

What is x + x in the mathematics

Answers

Answer:

X+x =2x

Step-by-step explanation:

I think this ans may help you

Answer:

2x

Step-by-step explanation:

x + x also equals x times 2

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