HELP!! Pauline Wong spends 3hours selling a used car and 5hours selling a new car. She works no more than 31hours per week. In order to receive a bonus, she must sell at least twoused car and twonew cars each week. In that case, she receives a bonus of $200for each used car and $300for each new car. How many new cars and how many used car should she try to sell to maximize her bonus? What is the maximum bonus?
a) Define the variables to use
b) Goal function
c) Constraints

Answers

Answer 1
The correct answer is b
Answer 2

Answer:

B)Goal Function


Related Questions

PLEASE HELP ME !!! ASAP PLS!!!

Answers

Answer:

AI and AJ

Step-by-step explanation:

Opposite rays start at the same point (A) and go in the complete opposite direction

21× 1 2/14. step by step explanation pls!​

Answers

Answer:

18

Step-by-step explanation:

21 = 3 x 7

12 = 2 x 6

4 = 2 x 7

( 21 x 12 ) / 14

= ( 3 x 7 x 2 x 6 ) / ( 2 x 7 )

= 3 x 6

= 18

Answer:

18

Step-by-step explanation:

See image attached for guide

21 x 1 2/14

Make 1 2/14 an improper fraction, add the denominator 1 under 21:

21/1 x 16/14

Multiply numerator x numerator, do the same for denominator:

21 x 16= 336

1 x 14 = 14

336/14

Simplify:

336/14 = 24

Hope this helps

A local steakhouse served 625 customers over a weekend. The distribution of each customer's food purchase is non-normal. The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. Suppose that a random sample of 315 customers are selected from the weekend's customers. Would it be appropriate to model the distribution of the sample mean with a normal model?
No. The mean distribution theorem states that the sampling distribution of the sample mean can only be modeled by the non-normal model because the population distribution is non-normal.
There is not enough information to make assumptions regarding the distribution of the sample mean.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
Yes. The mean distribution theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough regardless of the population distribution.

Answers

Answer:

yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Step-by-step explanation:

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.  

The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Option (B) is correct.

It is required to find  the appropriate to model the distribution of the sample.

What is arithmetic?

science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.

Given that:

A local steakhouse served 625 customers over a weekend.

The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.

So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

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hey this is my first post, does anyone know how to do this and find V?

Answers

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

The ages of the members of a family are 46, 48, 21, 12, 15, and 8. what is the mean age?

Answers

Answer:mean means to average. in order to average, add all the numbers then divide by how many numbers you have.

All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21

46 + 48 + 21 + 12 + 15 + 8 = 150

150 ÷ 7= 21.4285 = 21

Step-by-step explanation:

The answer is 25. Add up all the numbers and then divide by how many numbers there are

The table shows the coordinates of some rides on a map of the fairgrounds. Which quadrant shows the roller coaster

Answers

Answer:

Quadrant IV shows the roller coaster.

Step-by-step explanation:

Since you see R in quadrant 4, which has the coordinates 1,-6, it is in the 4th quadrant, or Quadrant IV.

Find the volume of the rectangular pyramid below.

Answers

Answer:

315 yd cubed

Step-by-step explanation:

To find the volume of the pyramid, we first need to consult the equation below. Thebase is for the rectangular portion, then after multiplied by the height it is divided by 3 to get the pyramid.

[tex]\frac{1}{3} (B * H )[/tex]

To get the base, we multiply the length by the width.

21 * 9 = 189

189 * 5 = 945

945 divided by 3 = 315

Answer:

Let's find the base area:

21 x 9 = 189

Now let's multiply the base area by the height:

189 x 5 = 945

Now let's divide by 3( x 1/3 ):

945 divided by 3(x 1/3) = 315 yd^3 is your answer

Step-by-step explanation:

Formula area of a rectangular Pyramid(just like any other pyramid):

BH x 1/3

To find base we multiply length by width just using the basic formula of finding area of a rectangle.

Then we multiply our base area by our height.

One we've done that we now divide by 3(multiplying by 1/3)

The graph of the function f(x) = (x - 3)(x + 1) is shown.

Answers

Answer:

the second one

Step-by-step explanation:

y is postitive when x <  -1 and x > 3, but y is decreasing only when x < 1 so the case where both are true is when x < -1   option 2

I need help is using double-angle formulas to simplify trig expressions.

Answers

Answer:

the answer is c

Step-by-step explanation:

(1-cosb²)/sinx²

What two numbers add to 7 and multiply to -44

Answers

Answer:

The numbers are 11 and -4

Step-by-step explanation:

Given

Let the two numbers be [tex]x[/tex] and [tex]y[/tex]

such that:

[tex]x + y = 7[/tex]

[tex]x*y = -44[/tex]

Required

Find x and y

Make y the subject in: [tex]x + y = 7[/tex]

[tex]y = 7 - x[/tex]

Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]

[tex]x(7-x) = -44[/tex]

Open bracket

[tex]-x^2 +7x = -44[/tex]

Rewrite as:

[tex]x^2 -7x -44=0[/tex]

Expand

[tex]x^2 +4x-11x -44=0[/tex]

Factorize

[tex]x(x +4)-11(x +4)=0[/tex]

Factor out x + 4

[tex](x -11)(x +4)=0[/tex]

Solve for x

[tex]x =11; x =-4[/tex]

Recall that:

[tex]y = 7 - x[/tex]

So:

[tex]y = 7-11 = -4[/tex]

or

[tex]y = 7--4 = 11[/tex]

1. Annel sells a phone which costs $180 and earns 5% commission. What is the dollar
amount of commission that Annel earns?
A $189
B $9
C $109
D $90

Answers

Answer:

B) $9

Step-by-step explanation:

5% can also be written as 0.05

Dividing a percentage by 100 gives you decimal form.

The question is asking for the amount of commission earned, not the total amount. This means that all we have to do is do:

$180 x 0.05 = $9

What is an algebraic expression for the quotient of w and 7 ? A. W-7 B. W+7 C.W/7 D.7w

Answers

Answer:

the answer for this is C.

Step-by-step explanation:

quotient is the number gotten by dividing a number by another.this is why it is C.

2m + 7m + 3m = 72

whats the answer step by step

Answers

Answer:

m = 6

Step-by-step explanation:

First, add like terms:

2m + 7m + 3m = 72

12m = 72

Divide each side by 12:

m = 6

So, the answer is m = 6

Answer:

m = 6

Step-by-step explanation:

2 m + 7 m + 3 m = 72

12 m = 72

[tex] \sf \small\: m \: = \frac{72}{12} \\ [/tex]

m = 6

Hence, your answer is 6.

An engine encounters a standard environment with a probability of 0.9, and a severe environment with a probability of 0.1. In a normal environment the probability of failure is 0.03, whereas in the severe environment this probability is 0.5.
i. What is the probability of failure?
ii. Given that failure has occurred, what is the probability that the environment encountered was severe?

Answers

Answer:

.077

.64935

Step-by-step explanation:

Let F= failure

let S= severe

we are given that

p(F|S')= .03

p(F|S)= .5

For the first question we are looking for f

we can solve for it by using the law of total probability

so in theory we want

F∩S+F∩S'

Using the conditional probability formula we can solve for the intersections

.03*.9+.5*.1= .077

2.

For this question we are looking for S|F

to solve this use bayes thereom

[tex]S|F=\frac{F|S*S}{F|S*S+F|N*N}=\frac{.5*.1}{.5*.1+.9*.03}=.649[/tex] (or 50/77)

What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0

Answers

You can rewrite the equation in vertex form to find some of the parameters of interest.
x² +8x +4 = -4y
x² +8x +16 -12 = -4y
(x+4)² -12 = -4y
y = (-1/4)(x +4)² +3
From this, we see the vertex is (-4, 3).

The scale factor, (-1/4) is 1/(4p), where p is the distance from the vertex to the focus. Solving for p, we have
-1/4 = 1/(4p)
p = -1 . . . . . multiply by -4p
So, the focus is 1 unit below the vertex. The focus is (-4, 2).

The directrix is the same distance from the vertex, but in the opposite direction, hence the directrix is y = 4.


_____
On a graph, if all you know is the vertex, you can draw a line with slope 1/2 through the vertex. It intersects the parabola at the y-value of the focus. Then the distance from that point of intersection to the axis of symmetry (where the focus lies) is the same as the distance from that point to the directrix.

Every point on the parabola, including the vertex and the point of intersection just described, is the same distance from the focus and the directrix. This point of intersection is on a horizontal line through the focus, so finding the distance is made easy.

Helen gathered 37 mushrooms in 3 hours. how many mushrooms did she gather if she gathered 7 more mushrooms in the second hour than the first hour and 6 more in the third hour than in the first hour?
pls help!

Answers

Step-by-step explanation:

How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in the third hour than in the first hour? = 8.

Bob went to a baseball game the game started at 9:41 a.m. and it was 3 hours and 43 minutes long when did the game end​

Answers

Answer:

The game ended at 1:24 p.m.

Step-by-step explanation:

Find the perimeter of the semi circle window to the nearest tenth.
20 cm

Answers

Answer:

628.3 cm

Step-by-step explanation:

The window has a semicircle shape = half of a circle

Perimeter of the window = ½(πr²)

Radius (r) = 20 cm

Plug in the value

Perimeter of the window = ½(π*20²)

= ½(π*400)

Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)

3) Which inequality represents this scenario?
The weight of a book may be no more than 3.3 pounds.
A) w > 3.3
B) w< 3.4
C) w <3.3
D) w < 3.3

Answers

Answer:

w < 3.3

C) w < 3.3

D) w < 3.3

Answer:   [tex]w \le 3.3[/tex]

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

Explanation:

w is the weight and it may be no more than 3.3 pounds. This is the same as saying that 3.3 pounds is the highest it can go. Think of it as the ceiling.

w = 3.3 is possible or anything smaller than it is possible.

So w is 3.3 or smaller meaning we write the inequality [tex]w \le 3.3[/tex]

The answer is not w < 3.3 because that would exclude 3.3 itself.

The answer is between choices C and D. It seems like one of those inequality signs should have an underline.

PLESE HURRY
If f(x) = (-x)3, what is f(-2)?

-8
-6
6
8

Answers

Answer:

8

Step-by-step explanation:

f(x) = (-x)^3

Let x = -2

f(-2) = (- -2)^3

        = (2)^3

        = 8

Following a strategy of product differentiation, Westwood Corporation (W) makes a high-end kitchen range hood, KE8. W’s data for 2012 and 2013 follow on the next slide.In 2013, W produced no defective units and reduced direct materials usage per unit of KE8. Conversion costs in each year are tied to manufacturing capacity. Selling and customer service costs are related to the number of customers that the functions are designed to support. W has 23 customers (wholesalers) in 2012 and 25 customers in 2013.

Units of KE8 produced and sold 40,000 42,000
Selling Price $100 $110
Direct Materials (sq ft) 120,000 123,000
DM cost per sq ft $10 $11
Manufacturing capacity for KE 850,000units 50,000units
Conversion Costs $1,000,000 $1,100,000
CC per unit $20 $22
Selling & Customer Service capacity 30customers 29customers
Selling & Customer Service Costs$720,000 $725,000
Cost per customer$24,000 $25,000
Required:
(1) Describe elements you would expect to see in W’s BSC.
(2)Calculate the growth, price recovery and productivity components that explain the change in the 2012 to 2013 income. Can you use the worksheet to get the variances?(3) Suppose during 2013, the market size for high-end rangehoods grew 3% and all increases in market share are due to W’s product differentiation strategy. How much of the change in OI is due to the industry market size factor, cost leadership and product differentiation?
(4) How successful was the strategy implementation?

Answers

A I seen it on the test

Distribute and combine HELP NOW!!

Answers

Answer:

9x + 8

Step-by-step explanation:

2(3x + 1) + 5x + 9 - 2x - 3

⇒ 6x + 2 + 5x + 9 - 2x - 3

⇒ 9x + 8

Algebra

2(3x+1)=6x+2

Then combine like terms.

6x+2+5x+9-2x-3

9x+8

What is x 7x + 9 = 30

Answers

Answer:

x=3

Step-by-step explanation:

7x+9=30

   7x=30-9

       =21

     x=21÷7

       =3

Matthew is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, and a history textbook. How many different ways can he line the textbooks up on his bookshelf?

Answers

Answer:

I think he can line them up a total of 6 times?

Answer:

6

Step-by-step explanation:

(PLEASE HELP ASAP)
Which of these angle pairs are congruent because they are corresponding
angles?

Answers

Answer:

B. 2 and 6

Step-by-step explanation:

Corresponding angles in the given diagram is 2 and 6 which is option b.

What is Corresponding angles?

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal. The opening and shutting of a lunchbox, solving a Rubik's cube, and never-ending parallel railway tracks are a few everyday examples of corresponding angles. These are formed in the matching corners or corresponding corners with the transversal.

According to above definition

Two parallel lines are intersected by the transversal and 4 corresponding angles comes.

2 and 6

1 and 5

3 and 7

4 and 8

Hence, Corresponding angles in the given diagram is 2 and 6.

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Plsss help me I’m so confused! Brainlist!!!!! Plsss ASAP, or I’m going to fail my class!!!

Answers

Answer:

the median is 12

the mean is 11.16

I believe the answer is:

Median: 12 hours

Mean: 11.2 hours

Hope this helps! :D

Add.
2
1
3x² - 4x-4
3x² +8x+4
+.
Simplify your answer as much as possible.

NO LINKS please and thank you

Answers

Answer:

6x²+4x

Step-by-step explanation:

The given expressions are 3x²- 4x-4 and 3x²+8x+4.

We need to add these two expressions.

3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4

= 6x²+4x

On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x

I tried to complete this question on determining a trigonometry equation on a graph but I got the wrong answer. What did I do wrong?

Answers

Answer:

[tex]y=2\sin(x)-1[/tex]

Step-by-step explanation:

Let's break it down:

In the sinusoidal function [tex]y=a\sin b(x-c)+d[/tex]:

[tex]a[/tex] represents Amplitude [tex]b[/tex] represents a constant related to the Period[tex]c[/tex] represents Phase Shift [tex]d[/tex] represents Vertical Shift

To find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.

To find [tex]b[/tex], use [tex]T=\frac{2\pi}{b}[/tex], where [tex]T[/tex] is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is [tex]2\pi[/tex] and therefore

[tex]2\pi=\frac{2\pi}{b},\\b=\frac{2\pi}{2\pi}=1[/tex].

To find Phase Shift, find the horizontal shift from the parent function [tex]y=\sin x[/tex]. In this case, there is no phase shift.

To find Vertical Shift, find the vertical shift from the parent function [tex]y=\sin x[/tex]. In this case, vertical shift is -1.

Thus, we've found:

[tex]a=2[/tex] [tex]b=1[/tex] [tex]c=0[/tex] [tex]d=-1[/tex]

Substituting these values into [tex]y=a\sin b(x-c)+d[/tex] , we get:

[tex]y=2\sin 1(x-0)-1=\boxed{y=2\sin(x)-1}[/tex]

Evaluate the expression when t is 4.
Equation: 3 x 2t

Answers

Answer:

Step-by-step explanation:

3*2t

substitute the value of t

=3*2*4

=24

Answer:

24

Step-by-step explanation:

so you do

3x 2(4) subsuite the t for the 4

then  do 2*4= 8

then d0 3x8= 24

Lowest common multiple of 45 and 54

Answers

Answer:

270

Step-by-step explanation:

Answer:

the answer is 270

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