Question

The following formula is used in economics to find a company's net income N, where P is the sales price, V is the variable cost per unit, S is the sales volume, and F is fixed costs. N=S*(P-V)-F Rearrange the formula to highlight the sales volume.

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Answer 1

To highlight the sales volume, rearrange the formula by isolating the variable S on one side of the equation.

Step-by-step explanation:

To rearrange the formula to highlight the sales volume, we need to isolate the variable S on one side of the equation. We can do this by following these steps:

1. Start with the formula: N = S*(P-V) - F
2. Add F to both sides of the equation: N + F = S*(P-V)
3. Divide both sides of the equation by (P-V): (N + F)/(P-V) = S

Therefore, the rearranged formula to highlight the sales volume is: S = (N + F)/(P-V)

Learn more about rearranging formulas

Answer 2

`\displaystyle S = (N + F)/(P - V)`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Step-by-step explanation:

Step 1: Define

`\displaystyle N = S(P - V) - F`

Step 2: Solve for S

Rearrange.

1. [Addition Property of Equality] Add F on both sides:
   `\displaystyle N + F = S(P - V)`
2. [Division Property of Equality] Isolate S:
   `\displaystyle (N + F)/(P - V) = S`
3. Rewrite:
   `\displaystyle S = (N + F)/(P - V)`