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
alina1380 [7]
2 years ago
13

If the selling price is $10 and the fixed costs are $10000, and the variable costs per unit are $5, what is the break-even point

in units and in dollar sales volume?
Mathematics
1 answer:
torisob [31]2 years ago
3 0

Answer:

2000 units

Step-by-step explanation:

u = units sold

p = selling price

c = unit cost

Revenue = u × p

Costs = fixed costs + (c × u)

Profit = revenue - costs

Revenue = 10 × u

Revenue = 10u

Costs = 10000 + (5 × u)

Costs = 10000 + 5u

Breakeven means profits = 0:

Profits = 10u - (10000 + 5u) = 0

10u - 10000 - 5u = 0

5u - 10000 = 0

5u = 10000

u = 2000

You might be interested in
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let
Rudiy27
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
7 0
2 years ago
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of
cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

<em><u>Explanation</u></em>

Suppose,  x gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be:  (35-x) gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the <u>distance traveled by the first car</u> in x gallons of gas =35x miles and the <u>distance traveled by the second car</u> in (35-x) gallons of gas =15(35-x) miles.

Given that, the two cars went a <u>combined total of 925 miles</u>. So, the equation will be.....

35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0
3 years ago
2x + 3 + 4x + 8 = 3x - 10
vodomira [7]

\text {Hello! Let's solve this Equation!}

\text {Your First Step is to Simplify the Equation:}

\text {(2x+4x)+(8+3)}

\text {6x+11=3x-10}

\text {The Next Step is to Subtract 3x:}

\text {6x+11-3x=3x-10-3x}\\\text {3x+11=-10}

\text {Next Step is to Subtract 11:}

\text {Q: Why Subtract 11?}

\text {A: So they cancel out. We cross them out once we subtract.}

\text {3x+11-11=-10-11}\\\text {3x=-21}

\text {The Final Step is to Divide 3:}

\text {3x/3=-21/3}

\text {Your Answer will be}

\fbox {x=-7}

\text {Best of Luck!}

\text {-LimitedX}

8 0
3 years ago
What is the function rule for the output is one-fourth the input?
lyudmila [28]
Just divide the input by 4.

f(x) = x/4
8 0
3 years ago
Is a letter that is used to represent a number.
Novay_Z [31]

Answer:

variable

Step-by-step explanation:

A variable is a American, Latin, Greek etc letter used to represent an unknown.

7 0
2 years ago
Other questions:
  • An anthropologist visits an igloo with a circular floor. While there, she measures it and calculates that it has a circumference
    12·1 answer
  • 67,396 divided by 123
    12·2 answers
  • What is the answer to 7×3
    12·2 answers
  • Name at least one advantage of credit cards.
    8·2 answers
  • Cecilia is making shorts with 8 belt loop. To make the loops, she needs 8 strips of fabric. Each strip measures 1 1/4 inches wid
    11·1 answer
  • Please help me with number 7 :)
    6·2 answers
  • How do you find the third side if a right triangle??
    5·2 answers
  • 4<br> The formula for the volume of a sphere is<br> V= 3 #rº. What is the formula solved for r?
    6·1 answer
  • Pharaoh, Diego, and Devonte all got jobs
    8·1 answer
  • Pls, look at the picture for the question.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!