A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. The cost function (in thousands of dollars) is given by
C(x,y)=110+80x+130y
If the selling price of type A is p and the selling price of type B is q, the price-demand equations are
p=120-3x+y
q=210+x-7y
Determine how many of each type of earphone should be produced per year to maximize profit? What should be the selling prices p and q? What is the maximum profit?

Answer:

so 189(from 189.66) lower box tickets are sold and 18 upper box tickets are sold

Step-by-step explanation:

lets take "x" as the # of lower box tickets

and "y" as the number of upper box tickets

so in total the number of tickets sold was 208

so  x+y=208

next, we know that each lower box ticket costs 12.50 and each upper box tickets costs 10 and the total amount of money spent was $2187.50 so:

12.5x+10y=2187.50

lets subtract "x" from both sides in first equation to find value of y

y=208-x

now substitute y in equation number 2:

12.5x-10(208-x)=2187.5

12.5x-2080+10x=2187.5

22.5x-2080=2187.5

22.5x=4267.5

x=189.666

so 189 tickets lower box tickets were purchased now, substitute 190 in equation 1 to find value of "y"

y=208-190

y=18

so 189(from 189.66) lower box tickets are sold and 18 upper box tickets are sold

Answer:

4/45.

Step-by-step explanation:

There are a total of 15 marbles in the bowl, so:

P(red) = 5/15 = 1/3

P(blue) = 4/15

Required probability = 1/3 * 4/15

= 4/45

Answer:

P(red, blue) = (5/15)*(4/15) = 4/45

Answer: He should choose the savings account because he can earn more interest and the money in his savings account is more than the money in his checking account.

Step-by-step explanation:

Answer:

$205 per month

Step-by-step explanation:

Answer:

$205

Step-by-step explanation:

there are 24 months in 2 years

4920/24= 205

Answer:

A. Repeat the simulation several more times

Step-by-step explanation:

The purpose of the simulation model is to represent the effectivity of the passes.

The proportion of successful passes is 60%.

As we have 10 digits available, 6 (digits from 0 to 5) are used for the outcome "the pass is completed" and 4 (digits 6, 7, 8, and 9) to represent the outcome "the pass is not completed". This is correct, as it represents a probability of 60% of having a successful pass.

But to have a representative distribution of the possible and probable results, the simulation have to run enough times to have a stable distribution of the results.

Answer:

The numbers are suppose to be natural numbers that is positive integers form 1 upward. So the numbers will be 5 and 6.  

Step-by-step explanation:

The product of 2 consecutive natural numbers is 19 greater than their sum . We need to understand important terms in this question like consecutive and natural numbers.

Consecutive numbers are numbers that follows each other continuously from smallest to largest.  Natural numbers are numbers that includes all the positive numbers from 1 to infinity example 1, 2, 3, 4............infinity.

Let the consecutive number be a and a+1.

The product of this 2 numbers are when you multiply them. Therefore,

a(a + 1) = a² + a

The sum of the 2 numbers are their addition. Therefore,

a + (a + 1) = 2a + 1

The product is 19 greater than the sum. This means the product of this numbers minus the sum of this numbers is equals to 19.

a² + a - (2a + 1) = 19

a²+ a - 2a - 1 = 19

a²- a - 20 = 0

Find the numbers that can be multiplied to get -20 and added together to get -1. The numbers are 4 and -5

a² + 4a - 5a - 20  = 0

a(a + 4) - 5(a + 4) = 0

(a + 4)(a - 5) = 0

a = - 4 and a = 5

The numbers are suppose to be natural numbers that is positive integers from 1 upward. So the numbers will be 5 and 6.  

To prove it

5 × 6 = 30(products)

5 + 6 = 11(sum)

30 - 11 = 19

Answer:

100

Step-by-step explanation:

(b/2)^2

b= -20

(-20/2)^2

(-10)^2

100

Answer:

The mean absolute deviation is 15

Step-by-step explanation:

First you have to find the mean, which in this case is 147.

Then you need to find the difference between each individual number and the mean. Once you have all the diffences written down, you need to add all the differences together. If you take the sum of the differences and divide them by the mean, you'll get your answer!

 Let me know if that makes sense! :)

Answer:

58

Step-by-step explanation:

Answer: 58 in.^2

Step-by-step explanation:

Answer:

Length: 9

Width: 3

Perimeter: 24

Step-by-step explanation:

First you can set up a few equations. You know that L x W is your area, or 27.

L * W = 27

Then you also know that your length is equal to three times the width.

L = 3W

So you can substitute L into the first equation to solve for W.

3W * W = 27

3W^2 = 27

W^2 = 9

W = 3

Then you can plug 3 into either equation to solve for your length.

L = 3(3)

L = 9

Then your perimeter is just 2L + 2W

2(9) + 2(3) = 24

Answer:

Step-by-step explanation:

Let the dimensions of the rectangle be length = L and width = W. Then P = perimeter = 2L + 2W.  A = area of rectangle = L * W.  Finally, L = 3W.

Here A = 27 units^2 = W*(3W) = (3*W^2), or 3W^2 = 27 units^2, or

W^2 = 9 units^2, or W = 3 units.  Then L = 3W = 3(3 units) = 9 units.

The length of the rectangle is 9 units.  See above.

The perimeter of the rectangle is 2(9 units) + 2(3 units) = 24 units.

Answer:

all the phones produced during the day in question.

Step-by-step explanation:

Okay, we are given the following data or information or parameters in the question above and they are; 2 % of the phones produced per day are defective, the quality of a day's production was checked by sampling 50 samples randomly.

Therefore, the best option or Explanation that best Define the population of interest to the manufacturer is; ''all the phones produced during the day in question''.

Also, the 50 phones that are sampled randomly and 2% which are defective is a condition that the manufacturer should be interested in.

Answer:

B. 2 * log (9)

Step-by-step explanation:

I put them both into my calculator and got the same answer both times.

The expression that is equivalent to log(9^2) is 2log89. Option B is correct.

According to the law of logarithm,

log (a^b) = blog a

Note that the power of the function is taken to the back of the logarithmic function.

Given the log function log(9^2), to get the equivalent expression, we will simply take the power which is 2 to the back of the log function to have 2log9

Learn more here: https://brainly.com/question/23882267

Step-by-step explanation:

C

Answer:

The answer is C

Step-by-step explanation:

I took the test and got it right :)

hopefully this helps you :)

pls mark brainlest ;)

The equation is -4h = -14

To find h, divide both sides of the equation by -4:

H = -14 / -4

H = 3.5 hours.

Answer:

Please, read the answer below.

Step-by-step explanation:

You have the following function:

[tex]f(x)=12x^4-4x^2+5[/tex]

(a) To find the intervals of increase or decrease of f(x) you first calculate the derivative of f(x):

[tex]\frac{df}{dx}=\frac{d}{dx}[12x^4-4x^2+5]\\\\\frac{df}{dx}=12(4)x^3-4(2)x=48x^3-8x[/tex]   (2)

Next, you equal the derivative to zero and obtain the roots of the obtained polynomial:

[tex]48x^3-8x=0\\\\6x^3-x=0\\\\x(6x^2-1)=0[/tex]

Then, you have the following roots for x:

[tex]x_1=0\\\\x_{2,3}=\pm \sqrt{\frac{1}{6}}[/tex] =  ±0.40

Hence, there are three special points.

Next, you evaluate the derivative (expression (2)) for the x values close to the x1, x2 and x3. The values of the derivative give to us the value of the slope of a tangent line in that point, and so, if the function increases or decreases:

First interval, for a number lower than -0.40

[tex]48(-0.41)^3-8(-0.41)=-0.02<0[/tex]

The function decreases in the interval:

[tex](-\inft,-\frac{1}{\sqrt{6}})[/tex]

It is necessary that after x=-0.40 the function increases until the next special point, that is x=0. Then, the interval in which the function increases is:

[tex](-\frac{1}{\sqrt{6}},0)[/tex]

By symmetry, from the point x=0 until x=0.40 the function decreases.

[tex](0,\frac{1}{\sqrt{6}})[/tex]

Next, you evaluate the expression (2) for a number higher than 0.40:

[tex]48(0.41)^3-8(0.41)=0.02>0[/tex]

Then, the function increases for the following interval:

[tex](\frac{1}{\sqrt{6}},+\infty)[/tex]

(b) Due to the results obtained in the previous step you can conclude that the local minimum are:

[tex]x_{min}=-\frac{1}{\sqrt{6}}\\\\x_{min}=\frac{1}{\sqrt{6}}[/tex]

[tex]P_1(-\frac{1}{\sqrt{6}},f(-\frac{1}{\sqrt{6}}))=P_1(-\frac{1}{\sqrt{6}},4.66)\\\\P_2(\frac{1}{\sqrt{6}},f(\frac{1}{\sqrt{6}}))=P_2(\frac{1}{\sqrt{6}},4.66)[/tex]

[tex]P_1(-\frac{1}{\sqrt{6}},0)\\\\P_2(\frac{1}{\sqrt{6}},0)[/tex]

(these are the point in which the function change of a decrease to an increase)

The same reason as before. There in one local maximum:

[tex]x_{max}=0[/tex]

[tex]P(0,f(0))=P(0,5)[/tex]

(c) The inflection points are calculated by using the second derivative:

[tex]\frac{d^2f}{dx^2}=144x^2-8=0\\\\x^2=\frac{8}{144}=\frac{1}{18}\\\\x=\pm \frac{1}{\sqrt{18}}[/tex]

Then , there are two inflection points , given by:

[tex]P_1(-\frac{1}{\sqrt{18}},f(-\frac{1}{\sqrt{18}}))=P_1(-\frac{1}{\sqrt{18}},4.82)\\\\P_2(\frac{1}{\sqrt{18}},f(\frac{1}{\sqrt{18}}))=P_2(\frac{1}{\sqrt{18}},4.82)[/tex]

Answer:

-11

Step-by-step explanation:

I substitute x in ( put parenthesis around x so it makes it clear)

-9-6-18+9+4+9

simplify

-33+22

-11

Answer: -11

Step-by-step explanation:

That polynomial simplifies to -2x^2-x+4

If we plug in -3 for x, we get -2(-3)^2-(-3)+4 and thats -11

Answer:

i cant help you because i cant see the things on the picture if u get a better picture i can help

Step-by-step explanation:

Answer:

About 68% (is that an answer choice?)

Step-by-step explanation:

In a normal distribution (a bell curve), about 68 percent of the data is in the range between one standard deviation below the mean to one standard deviation above.  If your mean is 27, and the standard deviation is 3, then one deviation below to one above would be 27 - 3  to 27 + 3, or 24 - 30.

Answer:

  $3840

Step-by-step explanation:

The total cost is ...

  (6 hr)(cost per hr) +(120 persons)(food cost per person)

  = 6($190) +120($15 +7.50)

  = $3840

The booking at Hotel 3 would cost $3840.

Answer:

f is the correct option pls mark me as the brainliset

Answer:

D, E, F

Step-by-step explanation:

because you need to do this when you are gathering resources

Answer:

why does it say college even tho this is a question on my homework

Step-by-step explanation:

and i'm in 7th grade.

Answer:

Simplified expression: x^18 - x^12 + x^6

Step-by-step explanation:

1. Let us write down the question at hand, firstly: x^24 - x^18 + x^12/ x^6

2. Let us factor equation x^24 - x^18 + x^12/ x^6 ⇒ x^12(x^12 - x^6 + 1)/ x^6

3. Now apply exponential rules to get x^6 to the numerator:

x^12 - 6(x^12 - x^6 + 1)

4. Simplify this expression to be ⇒ x^6(x^12 - x^6 + 1)

5. And further simplify this expression by distributing the x^6:

Answer: x^18 - x^12 + x^6

Answer:

180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.

Step-by-step explanation:

Here, we can form two equations from the given situation.

First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:

5 x + 20 y = 1000   -------- eqn (1)

where,

x = no. of passenger car tires produced

y = no. of tractor tires produced

Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:

80 x + 120 y = 15000   -------- eqn (2)

Solving eqn (1) and eqn (2), simultaneously, we get:

x = 180

y = 5

Therefore,

No. of Passenger Car Tires Produced = x = 180

No. of Tractor Tires Produced = y = 5

Answer:

2x^2 -5x +5

Step-by-step explanation:

f(x)=2x^2-8x+6 and g(x)=3x-1

f(x)+g(x)  = 2x^2-8x+6 +3x-1

Combine like terms

             = 2x^2 -5x +5

Answer:

2x^2 -5x +5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question says,

A roulette wheel has 38 slots, of which 18 are black, 18 are red,and 2 are green. When the wheel is spun, the ball is equally likely to come to rest in any of the slots. One of the simplest wagers chooses red or black. A bet of $1 on red returns $2 if the ball lands in a red slot. Otherwise, the player loses his dollar. When gamblers bet on red or black, the two green slots belong to the house. Because the probability of winning $2 is 18/38, the mean payoff from a $1 bet is twice 18/38, or 94.7 cents. Explain what the law of large numbers tells us about what will happen if a gambler makes very many betson red.

The law of large numbers tells us that as the gambler makes many bets, they will have an average payoff of which is equivalent to 0.947.

Therefore, if the gambler makes n bets of $1, and as the n grows/increase large, they will have only $0.947*n out of the original $n.

That is as n increases the gamblers will get $0.947 in n places

More generally, as the gambler makes a large number of bets on red, they will lose money.

Answer:

The length of each stone is

L = 12/25 = 0.48 ft

Hope this helps!

:)

Each stone measures 0.48 feet.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, the number of stones is 25 and it is used to construct 12 feet long then measure of each stone =12/25

                                                        =0.48 feet

Hence, Each stone measures 0.48 feet.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

Square prism + Triangular prism. Hope it helps.

Answer:

Step-by-step explanation:

its m<2=degrees

Answer:

m∠1 = 131

m∠2 = 49

m∠2 = 112

Step-by-step explanation:

Answer:

The value increases

Step-by-step explanation:

the smaller the divisor, the larger the quotient.