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Romashka-Z-Leto [24]
2 years ago
6

Break Even Analysis for Small Business 1) Jesse wants to start a business making and selling skateboards. She will charge $75 fo

r each one. Her cost will be $30 per skateboard for materials. She must pay $500 per month rent (which includes utilities) so that she has a place to make and sell the skateboards. a) Write a rule for her revenue (money coming in). b) Write a rule for her cost.​
Mathematics
1 answer:
Bas_tet [7]2 years ago
5 0

Answer:

  a) r(b) = 75b

  b) c(b) = 30b +500

Step-by-step explanation:

Revenue is the product of the selling price per unit and the number of units. The cost will be the sum of fixed (overhead) cost and production cost per unit multiplied by the number of units produced.

__

Let b represent the number of skateboards Jesse produces in a month.

<h3>a)</h3>

Jesse receives $75 for each skateboard sold. Her revenue from selling 'b' skateboards is ...

  r(b) = 75b

__

<h3>b)</h3>

It costs Jesse $30 for each skateboard produced, and $500 for overhead. Her total cost is ...

  c(b) = 30b +500

_____

<em>Additional comment</em>

In order to break even, Jesse's revenue must equal her cost:

  75b = 30b +500

  45b = 500

  b = 11 1/9

Jesse must produce and sell 12 skateboards each month to cover her costs. (In a real business, there are additional considerations related to inventory, shrinkage, returns, discounts, and other things that may increase cost or reduce revenue.) After covering costs, each additional skateboard sold will give Jesse a profit of $45.

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zubka84 [21]

Answer:

B: $2.50

Step-by-step explanation:

$120 ÷ 48 roses = cost per rose ($2.50)

4 0
3 years ago
What is the answer to the equation?
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2 years ago
According to​ statistics, a person will devote 34 years to sleeping and watching TV. The number of years sleeping will exceed th
Kobotan [32]

Considering the definition of an equation and the way to solve it, a person will devote 28 years watching TV and 6 years sleeping.

<h3 /><h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

  • When a value that is adding, when passing to the other member of the equation, it will subtract.
  • If a value you are subtracting goes to the other side of the equation by adding.
  • When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
  • If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

<h3>This case</h3>

Being "x" the number of years watching TV, and knowing that:

  • The number of years sleeping will exceed the number of years watching TV by 22.
  • A person will devote 34 years to sleeping and watching TV.

the equation in this case is:

x + (x+22) =34

Solving:

x + x =34 -22

2x= 12

x= 12 ÷ 2

<u><em>x=6</em></u>

As the number of years sleeping will exceed the number of years watching TV by 22, then<u><em> x +22= 6 +22= 28 years.</em></u>

Finally, a person will devote 28 years watching TV and 6 years sleeping.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

3 0
1 year ago
The image below is a triangle drawn inside a circle with center O:
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The area of a circle is,

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So pi times the radius squared.

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To find the radius we half to divide the diameter by 2 since the radius is half of the diameter.

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8 0
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Read 2 more answers
: A sports store sells a total of 70 soccer balls in one month, and collects a total of $2,400. A limited Edition soccer ball is
sweet-ann [11.9K]

Answer:

The store sold 43 pro NSL soccer balls.

The store sold 27 limited Edition soccer balls.

Step-by-step explanation:

Let x represent number of limited Edition soccer balls and y represent the number of pro NSL soccer balls.

We have been given that a sports store sells a total of 70 soccer balls in one month. We can represent this information in an equation as:

x+y=70...(1)

Cost of x limited Edition soccer balls: 65x

Cost of y pro NSL soccer balls: 15x

We are also told that store collected a total of $2,400. We can represent this information in an equation as:

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From equation (1), we will get:

x=70-y

Substituting this value in equation (2), we will get:

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4550-50y=2400

4550-4550-50y=2400-4550

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\frac{-50y}{-50}=\frac{-2150}{-50}

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Therefore, the store sold 43 pro NSL soccer balls.

Now, we will substitute y=43 in equation (1) to solve for x:

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Therefore, the store sold 27 limited Edition soccer balls.

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