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
boyakko [2]
3 years ago
11

Candy bars are sold in a local store for 60 cents each. The factory has 1000 in fixed costs plus 10 cents additional expense for

each bar made. Assuming all candy bars manufactured can be sold. Find the break-even point
Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

2000 candy bars sold

$1200 in revenue

Step-by-step explanation:

Terms we need to know:

<u>Cost</u> "C": money needed/used to make the product (factory cost and candy bar expenses)

<u>Revenue</u> "R": money earned from selling the product (candy bars sold in a local store)

<u>Profit</u> "P": money left over after revenue is used to pay costs

<u>Break-even point</u> : when there is no profit (the profit is 0), what is the total revenue and number of items sold?

Create equations for the question:

State your variables.

let 'c' be the number of candy bars sold

R(c) = 0.6c                    Candy bars sell for 60 cents each

C(c) = 0.1c + 1000          10 cents expense per candy bar and factory cost

P(c) = 0          When profit is 0, we are looking to break even

Profit = Revenue - Cost

P(c) = R(c) - C(c)             Substitute the expressions above

P(c) = 0.6c - (0.1c + 1000)

Simplify this equation first. Use the rule for subtracting binomials, where you change the positive/negative for each number inside the brackets.

P(c) = 0.6c - (0.1c + 1000)    Positive in brackets, negative when taken out

P(c) = 0.6c - 0.1c - 1000             Combine like terms

P(c) = 0.5c - 1000            General equation for this problem

0 = 0.5c - 1000                 Remember profit should be 0

<u>Isolate "c"</u> to find how many candy bars made will result in the break-even point.

0 + 1000 = 0.5c - 1000 + 1000        Add 1000 to both sides

1000 = 0.5c

1000/0.5 = 0.5c/0.5             Divide both sides by 0.5

2000 = c          Answer

c = 2000       Variable on left side for standard formatting

Now to find the revenue at the break-even point.

Go back to the revenue equation for this question. Substitute when "c" is 2000.

R(c) = 0.6c

R(2000) = 0.6(2000)        Multiply

R(2000) = 1200              Revenue at break even point

Therefore the break-even point is when 2000 candy bars are sold, which would provide $1200 in revenue.

You might be interested in
An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar
erica [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

6 0
3 years ago
A 99% confidence interval for the mean μ of a population is computed from a random sample and found to be 6 ± 3. We may conclude
valentina_108 [34]

Answer:

A. there is a 99% probability that μ is between 3 and 9.

Step-by-step explanation:

From a random sample, we build a confidence interval, with a confidence level of x%.

The interpretation is that we are x% sure that the interval contains the true mean of the population.

In this problem:

99% confidence interval.

6 ± 3.

So between 6-3 = 3 and 6 + 3 = 9.

So we are 99% sure that the true population mean is between 3 and 9.

So the correct answer is:

A. there is a 99% probability that μ is between 3 and 9.

4 0
3 years ago
Read 2 more answers
#11 Write the decimal<br> 1.0056 in word form.
malfutka [58]

Answer: One and fifty six thousandths

Step-by-step explanation:

The 1 represents one so that first the decimal point represents and so that’s second 56 represents the thousands place so it would be fifty six thousandths since it is on the right side of the decimal.

8 0
3 years ago
Read 2 more answers
The dot plot represents the prices of different brands of chocolate bars.
puteri [66]

Answer: Option E. 22

Solution:

Each dot represents a different brand of chocolate, then to determine how many brands are included in this data set, we only have to count the number of dots: 1+4+3+5+2+3+2+1+1=22

4 0
3 years ago
Read 2 more answers
How much wood could a wood chuck chuck if a wood chick could chuck wood
Mariulka [41]

<em>Answer: “As much wood as a woodchuck could chuck, If a woodchuck could chuck wood.) Researchers at Cornell determined that a woodchuck could chuck about 700 pounds: </em>

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is z?<br> 5z+8=4z+20<br> Once again im struggling and need help fast..=)
    5·2 answers
  • How many pounds is a gram
    8·2 answers
  • A company makes concrete bricks that are shaped like rectangular prisms. Each brick is 5 inches long, 4 inches wide, and 2 inche
    13·1 answer
  • Samantha reports that 60% of the first year students at her university think they should be able to bring a car to campus. She a
    5·1 answer
  • I need all the answers
    5·1 answer
  • What is the range of f(x)?
    12·1 answer
  • If x% of 75 = 9, then the value of x is​
    11·1 answer
  • You decide to put new carpet in your living room and family room. The combined square footage (area) of both rooms is 535 square
    7·1 answer
  • Which angles are adjacent?
    10·1 answer
  • Where is the blue point on the number<br> line?<br> 3<br> ←++<br> 2.<br> Pls help
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!