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Given the following Revenue and Cost Functions: Revenue = 45.0X 2300.0 Cost = 22.0X 18000.0 Find the Breakeven Point.

Sagot :

mathstudent55

Answer:

X = 683

Step-by-step explanation:

The breakeven point is where revenue and cost are equal.

45.0x + 2300.0 = 22.0X + 18000

23X = 15700

X = 683

Hi1315

Answer:

x =683

Step-by-step explanation:

find the breakeven point where revenue equals cost, we can simplify the process:

Given:

- Revenue function:  R(X) = 45.0X + 2300.0

- Cost function:  C(X) = 22.0X + 18000.0

Set them equal to each other to find  X :

45.0X + 2300.0 = 22.0X + 18000.0

Now, solve for  X :

1. Subtract  22.0X  from both sides:

45.0X - 22.0X = 18000.0 - 2300.0

2. Simplify:

23.0X = 15700.0

3. Divide both sides by 23.0:

[tex]X = \frac{15700.0}{23.0}[/tex]

4. Calculate  X :

[tex]X \approx 682.61[/tex]

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