you could give away 70 coffee mugs without charging anything.
If you charge $10.00, nobody will buy the coffee mugs. You also figured out that your sales will be decreasing
following straight line. Your job is to find the maximum possible revenue from selling the coffee mugs.
Answer the following questions:

1. Graph the linear relationship between the price of coffee mugs p, and the number of coffee mugs sold S.
Hint: To give away 70 coffee mugs means when the price p=0, S(0) = 70. Plot that point on the graph. Find one
more point using the other given condition. Keep in mind S(p) is a linear function. Be careful what will be
represented on the x-axis, and what will be represented on the y-axis.
2. Find the equation of the linear function S(p) that describes the quantity sold as a function of the price p.
3. The revenue is determined by R = Sp. Express the revenue as a function of the price p.
Help: You may look at the examples from the power point for section 2.6
4. Graph the revenue function. Make sure to label the x - and the y - axis with the appropriate units.
5. At which price per coffee mug do you not make any money?
6. Find the price per coffee mug that makes the most revenue.
7. How many coffee mugs must be sold to maximize the revenue?
8. What is the maximum revenue?
9. What price per coffee mug you should charge to collect at least $70 in revenue?
Your project will be graded based on the following:
1. Turned in a hard copy, and an electronic version as a PDF file on Blackboard on time (due date Dec 7
or before ) (5pts. deduction per day)
2. Completeness (no missing part, show all of your work, calculations, formulas used etc.
3. Precision ( correct answers )
4. Complete graph
the graph has a title
the axes are labeled ( make sure you have included the units of measurement)

-

Answers

Answer 1

At $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.

Since you could give away 70 coffee mugs without charging anything, and if you charge $ 10.00, nobody will buy the coffee mugs, and you also figured out that your sales will be decreasing following straight line, and your job is to find the maximum possible revenue from selling the coffee mugs, to determine at which price per coffee mug do you not make any money; the price per coffee mug that makes the most revenue; how many coffee mugs must be sold to maximize the revenue; what is the maximum revenue; and what price per coffee mug you should charge to collect at least $ 70 in revenue; the following calculations must be performed:

70 = 0 0 = 10 35 = 5 63 x 1 = 63 56 x 2 = 112 49 x 3 = 147 42 x 4 = 168 35 x 5 = 175 28 x 6 = 168

Therefore, at $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.

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Related Questions

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the from the 1st hour to the 4th hour? Be sure to include the correct units of measurement

Answers

The rate of change is in Y over the change in X.

Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.

X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)

The rate of change is 24 / 3 = 8.

The answer is 8 dollars per hour.

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.

At the end of the night, the driver calculates his profits and makes a graph to analyze the data.

The rate of change is in Y over the change in X.

Y is the dollar amount at 4 = 78 ,

at 1 = 54

the change is 78 - 54 = 24.                                        

X is the time the change from 4 to 1 = 3

The change is ( 4 - 1 = 3)

The rate of change = 24 / 3 = 8.

Therefore, The answer is 8 dollars per hour.

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I need this solved with the answer as an ordered pair

Answers

Answer:

look at the picture i have sent

Find the equation of the line perpendicular to the given line and passing through the given point.

y = -4x + 2;(-1,4)

Answers

Step-by-step explanation:

hope it helps you.......

Here is your answer refer to the attachment .

Q.no 21 solve it.
Plz. Plz

Answers

Answer:

Hamm i don't know sorry a want yo help You Buy a can't because a don't know sorry

(b) Given also that x> 1 and x is an integer.
Write down all the possible values of x.

Answers

Answer:

X can be any whole or natural number greater than 1 so like 2 could work too but no decimals or fractions or any other irrational numbers such as pi.

Step-by-step explanation:

Hope this works for you. :)

Answer:

Step-by-step explanation:

X greater than or equal to 2 for any positive integer

Plsss some one help with this

Answers

Answer:

the answer is c and the entire equation means that the tickets each cost $15 and the service fee is $12

2x-7=13
What is the answer for x ?

Answers

Answer:

The answer will be ( x = 10)

This shake is made from five congruent triangles. Find the total area of the shape

Answers

Area of one triangle = [tex]A = \frac{a·b}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 {cm}^{2} \\ [/tex]

For 5 triangles = [tex]9 \times 5 = 45 {cm}^{2} [/tex]

- BRAINLIEST answerer

Please help me please

Answers

Step-by-step explanation:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1


A farmer has two tractors. The probability that
tractor 1 will break down is 3% and the
probability that tractor 2 will break down is
5%. What is the probability that both tractors
will break down on a given day? Give your
ansineras

Answers

Step-by-step explanation:

the break down probabilities are for the same given day ? one day ?

if that is so, then the expected value for a break down day for tractor 1 will be 34 days (rounded up 100%/3%), and for tractor 2 20 days (100%/5%).

that would be horrible. a tractor would only work for about a month without major repair.

because normally such probabilities are given for a warranty period like 1 or 3 or 5 years.

but the description does not say anything about that. so, we have to go with the primary assumption.

so, the question is about the probability that both things happen at the same time (the same day).

this is like asking for the probability of rolling a double 6 with two dice - both events (a 6 on a die) have to happen "together". so it is the probability of one event multiplied by the probability of the second event : 1/6 × 1/6 = 1/36

5% = 0.05 (5% is 5 hundredths) = 5/100

3% = 0.03 (3% is 3 hundredths) = 3/100

now both events (break-down of both tractors) happen together means 5/100 × 3/100 = 15/10000 = 0.0015

that means the probability in % is 0.15%

that means in other words, this event (both tractors breaking down on the save day) is expected to happen 15 times in 10000 days, or once every 667 days (or roughly every 2 years).

solve for x
(4/9)^√x=(2/3)^39-√x

Answers

Answer:

169

Step-by-step explanation:

(4/9)^√x = (2/3)^39-√x

(2/3)^2√x = (2/3)^39-√x

Comparing the bases ,

2√x = 39-√x

3√x = 39

√x = 13

x = 169

what skills are needed to learn derivatives in math ​

Answers

Answer:

smart

be smart

1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.

Answers

1000x1.05^2 =£1102.5

Answer:

A = £1102.50

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.

Here A = £1000·(1 + 0.05)^2, which evaluates to  A = £1102.50

If the point (2K-3, K+2) lies on the graph of the equation 2x+y+14=0, find the value of k.?​

Answers

Answer:

k = -2

Step-by-step explanation:

Substitute 2k-3 for x and k+2 for 2

2x + y + 14 =0

2(2k-3) + (k + 2) + 14 = 0

4k - 6 + k + 2 + 14 = 0

4k + k - 6 + 2 + 14 = 0

5k + 10 = 0

5k + 10 - 10 = 0 - 10

5k = -10

[tex]\frac{5k}{5} = \frac{-10}{5}[/tex]

k = -2

Find the equation of a line parallel to y = -5x – 10 that passes through the point
(-5,0).

Answers

Answer:

8684787

Step-by-step explanation:

For every 20 penguins at the North Pole there are 9 polar bears. If you encountered 27 polar bears, how many penguins would you expect to see?​

Answers

Answer:

60 penguins

Step-by-step explanation:

We need to find out how many times 9, the number of polar bears for every 20 penguins, was multiplied by, so that we can multiply 20 penguins by the same amount.

27/9 = 3

20*3 = 60

Answer: 60

Step-by-step explanation:

The ratio is 20:9. If you times both sides by 3, you will get 60:27, which means 60 penguins per 27 polar bears.

Bacteria colonies can triple in size every 4 days. If you start with 150 bacteria microorganisms, how large would the colony be after 16 days? First, complete the equation: Future Amount = 150(1+[?]​

Answers

Answer:

But notice that the colony tripled 4 times in 16 days, or it tripled 16 / 4 = 4 times.

Step-by-step explanation:

150 x 3 x 3 x 3 x 3 = 150 x 34 = 150 x 81 = 12,150.

Hope this helps

Answer:

ha i got nothing

Step-by-step explanation:

he i got nothing

Isabelle ran a distance of about 26 miles during a marathon. In other countries, kilometers is used to measure length. There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the number of kilometers Isabell ran?

Answer
A
16.3 kilometers.


B
41.6 kilometers.


C
7.2 kilometers.


D
53.5 kilometers.

Answers

Answer:

Step-by-step explanation:

b

clara has a positive acceleration for 5 minutes

Answers

Answer:

The answer is C.

Step-by-step explanation:

Please explain step-by-step! Thanks!


Random answers will be reported

Answers

Step-by-step explanation:

what is your questions?????
What do you want us to solve

What is a unit rate?

What are the steps for
finding a unit rate?

Each 12-ounce bottle of
shampoo cost $2.15.
What is the cost
per ounce?

Answer all please

Answers

Answer:

1. Cost of a quantity of 1.

2. Divide the cost by quantity.

3. $0.18 per ounce

work: 2.15 / 12 = 0.1791666666666 and round

Which figure best demonstrates the setup for the box method of finding the area of a triangle? On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and share 2 sides with the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and the 3 points of the triangle touch the sides of the box. The box is 2 units larger than one side of the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and all 3 points of the triangle are on the sides of the box. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and 2 points of the triangle are on the box.

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The answer is C in Edge. Just took the assigment. Hope this helps! :)

During a sale, a store offered a 20% discount on a camera that originally sold for $650. After the sale, the discounted price of the camera was marked up by 20%. What was the price of the camera after the markup? Round to the nearest cent.

Answers

Answer:

$624

Step-by-step explanation:

650 * .80 = 520

520 * 1.20 = 624

The chances that you will be ticketed for illegal parking on campus are about 1/3. During the last nine days, you have illegally parked every day and have NOT been ticketed (you lucky person!). Today, on the 10th day, you again decide to park illegally. The chances that you will be caught are:

Answers

2/3*9=6
6/10=3/5
3/5 chance to be caught

The required probability of getting caught on the 10th day is 3/5.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Probability of getting caught in 9 days
= [1 - 1/3]*9=6

The probability of getting on the tenth day is given as,

= 6/10
=3/5

Thus, the required probability of getting caught on the 10th day is 3/5.

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Choose all of the proportional relationships that have a greater unit rate than the unit rate of this graph.
10
9
8
7
6
5
4
3
2
1
5
7
B
00
9 TD
X
y
2
5
10
15
low
y
3
6
9
6
12
18
6
y = 2x
y = 0.25%
y
2
4
y
3
6
9
8
16
24
8
12

Answers

The proportional relationships that have a unit rate that is greater than that of the one of the graph are: the first and third tables, and y = 2x.

How to Determine the Unit Rate of a Proportional Relationship?

The unit rate can be calculated as, m = y/x. In an equation that represents a proportional relationship, y = mx, the value of m is the unit rate.

Using a point on the graph, (5, 2):

Unit rate of the graph = y/x = 2/5

Unit rate = 0.4.

Unit rate for the first table = 3/5 = 0.6 [greater than 0.4]

Unit rate for the second table = 2/6 = 0.3 [less than 0.4]

Unit rate for y = 2x, is 2 [greater than 0.4].

Unit rate for y = 0.25x, is 0.25 [less than 0.4].

Unit rate for the third table = 2/4 = 0.5 [greater than 0.4]

Unit rate for the second table = 3/8 = 0.375 [less than 0.4]

Those that have a unit rate that is greater than the one of the graph are: the first and third tables, and y = 2x.

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PLEASE HELP WILL MARK BRAINILEST

1. The formula for the volume of a rectangular box is V = lbh. What is the formula for h in terms of V, l and b?

2. Solve 7x + 3y = m, for y

3.The formula for the potential energy P = mgh. What is the formula for m in terms of P, g, and h?

Answers

Answer:

1. h = V/lb

2. y = (m - 7x)/3

3. m = P/gh

the person who answes my question can u stay because i have more thankyou

Answers

Answer:

c. 60 mins

Step-by-step explanation:

12 * 5 = 60

15 * 4 = 60

what is the slope of the equation above?

Answers

answer: slope is 3/7

Amy buys 16 envelopes for 14p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.

Answers

Answer:

  £2.76

Step-by-step explanation:

The cost of Amy's purchase is ...

  16×(£0.14) = £2.24

Her change from £5.00 is ...

  £5.00 -2.24 = £2.76 . . . . Amy's change

-5x - 25= 78; her work is shown below identify the error and where it was made

Answers

[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]

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