1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
14

Cost, Revenue, Profit

Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer:

1. C(n) = 2.25n + 120

2. R(n) = 3.51n

3. P(n) = 1.26n - 120

1. 96 frozen bananas must be sold in order to make a positive profit.

2. In order to make a profit, I have to sell a minimum of <u>96 frozen bananas</u>.

Step-by-step explanation:

1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.

Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:

C(n) = 2.25n + 120

Where 2.25n is the total variable cost while 120 is the total fixed cost.

2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.

Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:

R(n) = 3.51 * n

R(n) = 3.51n

Where 3.51 is the selling price per unit while n the number of units sold.

3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.

Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:

P(n) = R(n) - C(n)

P(n) = 3.51n - 2.25n + 120

P(n) = 1.26n - 120

1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.

This can be obtained by equating the profit function to zero and solve for n as follows:

P(n) = 0 => 1.26n - 120 = 0

Therefore, we have:

1.26n = 120

n = 120 / 1.26

n = 95.2380952380952 frozen bananas

Writing it as a whole number, we have:

n = 95 frozen bananas

However, using this whole number will result in a negative profit by substituting it into the profit function as follows:

P(n) = (1.26 * 95) - 120 = -$0.30

Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:

P(n) = (1.26 * 96) - 120 = $0.96

Therefore, 96 frozen bananas must be sold in order to make a positive profit.

2. Complete the following sentence to explain the meaning of #1:

In order to make a profit, I have to sell a minimum of <u>96 frozen bananas</u>.

You might be interested in
Whats an inverse relationship?
musickatia [10]

Answer:

relationship between two variables such that when the value of one variable is high then the value of the other variable is probably low

Step-by-step explanation:

5 0
3 years ago
POSSIBLE POINTS
Mamont248 [21]

Answer:

The answer is 131 people

Step-by-step explanation:

I'm not too sure about equations bc its been a min since I've done them but maybeeeee it's 26x - (1,575) = 5,000 something like that LOL

All I know is that you have to subtract 1575 from 5,000 and then you get 3,435 dollars left and you divide that by 26 people and you get 131.731 but of course you can't have a half of person so it stays at 131.

Hopefully that helped lol

5 0
2 years ago
Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to
RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

5 0
3 years ago
A line segment is sometimes/always/never similar to another line segment, because we can sometimes/never/always map one into the
Fantom [35]

Answer:

A line segment is <u><em>always</em></u> similar to another line segment, because we can <u><em>always</em></u> map one into the other using only dilation a and rigid transformations

Step-by-step explanation:

we know that

A<u><em> dilation</em></u> is  a Non-Rigid Transformations that change the structure of our original object. For example, it can make our object bigger or smaller using scaling.

The dilation produce similar figures

In this case, it would be lengthening or shortening a line. We can dilate any line to get it to any desired length we want.

A <u><em>rigid transformation</em></u>, is a transformation that preserves distance and angles, it does not change the size or shape of the figure. Reflections, translations, rotations, and combinations of these three transformations are rigid transformations.

so

If we have two line segments XY and WZ,  then it is possible to use dilation and rigid transformations to map line segment XY to line segment WZ.

The first segment XY would map to the second segment WZ

therefore

A line segment is <u><em>always</em></u> similar to another line segment, because we can <u><em>always</em></u> map one into the other using only dilation a and rigid transformations

6 0
3 years ago
What is (2.1) ⋅ (4.7) and why?
OverLord2011 [107]
2.1 . 4.7 all u gatta do is put this into google
8 0
3 years ago
Read 2 more answers
Other questions:
  • During an evening out, Dean paid a cab driver $20. He then spent $25 on dinner and half of his remaining money on a painting. He
    12·1 answer
  • How many codons could be formed if each codon was two bases long?
    5·1 answer
  • Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph.
    8·1 answer
  • The following dot plot shows the height of each toddler at Ms. Cabrera's daycare. Each dot represents a different toddler. A dot
    6·1 answer
  • What numbers form a triangle
    10·1 answer
  • How many tiles are there in figure 0?​
    13·2 answers
  • Which graph best represents the equation y = 3x - 2?
    5·2 answers
  • A total of 356 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t
    15·1 answer
  • Find the value of x for the question.​
    15·2 answers
  • In a certain card​ game, the probability that a player is dealt a particular hand is. Explain what this probability means. If yo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!