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
a parking garage has 6 levels. Each level has 15 row. Each row has the same number of parking spaces. there are 2,250 parking sp
Mandarinka [93]
To start with, we know there’s a definite amount of parking spaces in all(2,250) and we also know each level(6 in all) had 15 rows of parking spaces.

Equation

A = Parking spots per row


A = 2,250 Divided by(6 levels times 15 rows)

A= 2,250 Divided by 90


A = 25

The correct answer is 25 parking spots per row

To check this answer we can do

25 spots per row, Times 15 rows per level, Times the total amount of levels (6)

= the total amount of parking spots

25*15*6= 2,250

True


This confirms this answer as correct. Hope this helps.
6 0
2 years ago
13(6x – 5) – x = 13 – 2(x + 1)
Murrr4er [49]

Answer:

x = 76/79

Hope this helped

7 0
3 years ago
Read 2 more answers
Will mark BRAINLIEST if you help
nlexa [21]
The first box is -7 and the other one is just 7
7 0
2 years ago
Read 2 more answers
Group technology requires that:
kifflom [539]

Answer: e. each component be identified by a coding scheme that specifies size, shape, and the type of processing.

Step-by-step explanation:

Group technology is a technique in manufacturing that involves bringing together parts with similar process of manufacturing or function into the same location so that they can all go through the same process. This follows a general saying that problems with similar groups could possibly be solved using a single or similar solution, which could help save time, resources and efforts.

6 0
3 years ago
Your gross pay is 1,843.45 your involuntary deductions are fica 7.65% federal with holding 9% and state withholding 6.5% how muc
Anastasy [175]

Answer:

1416.71

Step-by-step explanation:

Total Pay= 1843.45

Deductions

Fica = 7.65% of 1843.45  = 141.02

With holding = 9 % of 1843.45 = 165.9

state withholding =6.5 % of 1843.45 = 119.82

total deductions = 141.02 + 165.9 + 119.82

                           =426.74

Remaining money= 1843.45-426.74

                              = 1416.71

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 11 divided by 7?
    8·2 answers
  • Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if th
    7·1 answer
  • What is 7+78/3=?<br> A.43<br> B.25<br> C.25.5<br> D.75
    6·1 answer
  • Dana has n quarters. Ivan has 2 fewer than 3 times the number of quarters Dana has. The expression n + 3 n−2 gives the number of
    8·1 answer
  • The point a is located on the y-axis, 6 units above the x-axis. what are the coordinates of point a?
    11·1 answer
  • 5x( 4y2 + 5z) – (4y2 + 52
    13·1 answer
  • I'm lost with this problem please help. Write answers as a fractions
    9·2 answers
  • Joey is saving for a new bike. On the first day he saves $2. Each day after that, he doubles the number of dollars he saved on t
    12·1 answer
  • Would love some help
    10·2 answers
  • What is 5x10=50+60=<br> have a nice day
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!