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A small business produces soap and lotion gift baskets. Labor, utilities, and other fixed expenses

cost $6,000 a month. Each basket costs $8 to produce and sells for $20. How many baskets does

the company need to sell each month to break even?





Define n to be the number of gift baskets the company sells in a month

Cost Equation: C(n)= 6000 + 8n

Revenue Equation: R(n) = 20n

Cost

$

12000

11000-

10000+

9000

8000

7000-

6000

5000

4000+

3000

2000

1000-

C(n)

R(n)

100 200 300

400 500 600 700 800

TE


Sagot :

The break even point is at 500 baskets. The company must sell 500 baskets a month, at which point their revenue of $10,000 will cover their total costs of $10,000.

What is break even point?

In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total revenue are equal, or "even." Although opportunity costs have been paid and capital has received the risk-adjusted, expected return, there is no net loss or gain, and one has "broken even."

In this case we could probably solve the problem from the graph itself, but we can also solve it algebraically by setting the equations equal:

[tex]\begin{gathered}R(n)=C(n) \\20 n=6000+8 n\end{gathered}[/tex]

Subtract 8n from both sides:

[tex]12 n=6000[/tex]

Divide:[tex]n=\frac{6000}{12}=500[/tex]

Evaluate either function at this input: [tex]R(500)=C(500)=10,000[/tex]

The break even point is at 500 baskets. The company must sell 500 baskets a month, at which point their revenue of $10,000 will cover their total costs of $10,000.

To learn more about break even point visit:https://brainly.com/question/29063970

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