Sales, revenue and costs

Welcome to the World of Business Math!

Hi there! Don't worry if you aren't a "maths person"—the formulas in this chapter are actually very logical and once you get the hang of them, they are like pieces of a puzzle. In this section, we are going to learn how a business calculates the money coming in and the money going out. This is the heart of Financial Planning. If a business doesn't get these numbers right, they won't know if they are making a profit or heading for trouble!

1. Sales Volume and Sales Revenue

Before we can look at profit, we need to know how much we are selling and how much money that brings in. These sound similar, but they are very different things!

What is Sales Volume?

Sales Volume is the number of units a business sells in a specific time period (like a month or a year). It’s all about the physical amount, not the money.

Example: If a bakery sells 500 loaves of bread in a week, the sales volume is 500.

What is Sales Revenue?

Sales Revenue (sometimes called "turnover") is the total value of the sales made. This is the actual cash that flows into the business from selling its goods or services.

The Formula for Sales Revenue:

\( \text{Sales Revenue} = \text{Selling Price} \times \text{Quantity Sold (Sales Volume)} \)

Step-by-Step Example:
Imagine you run a phone case business.
1. You sell each case for £15 (Selling Price).
2. You sell 200 cases in a month (Sales Volume).
3. Your Sales Revenue is \( 15 \times 200 = \$3,000 \).

Quick Review Box:
• Volume = How many items sold (Quantity).
• Revenue = Total money received (Price x Quantity).

Common Mistake to Avoid:
Students often think Sales Revenue is the same as Profit. It’s not! Revenue is just the money coming in; it doesn't account for the bills the business has to pay yet.

Key Takeaway: Revenue depends on two things: how many items you sell and what price you charge for them.

2. Understanding Business Costs

To run a business, you have to spend money. In this syllabus, we split these costs into two main categories: Fixed Costs and Variable Costs.

A. Fixed Costs (FC)

Fixed Costs are costs that do not change when the business produces more or fewer products. You have to pay these even if you sell absolutely nothing!

Analogy: Think of your monthly Netflix subscription. It doesn't matter if you watch 100 movies or 0 movies; the price you pay at the end of the month is exactly the same. That is a fixed cost.

Examples of Fixed Costs:
• Rent for a factory or office.
• Salaries for permanent staff (managers).
• Insurance.
• Advertising costs.

B. Variable Costs (VC)

Variable Costs are costs that change directly with the level of output (how much you make or sell). If you make more products, these costs go up. If you stop production, these costs drop to zero.

Analogy: Think of the flour used in a bakery. If the baker makes 10 cakes, they need a little flour. If they make 1,000 cakes, they need a lot of flour. The cost of flour "varies" based on how many cakes are made.

Examples of Variable Costs:
• Raw materials (ingredients, plastic, fabric).
• Packaging.
• Wages for staff paid per hour or per piece made.

The Formula for Total Variable Cost:

\( \text{Total Variable Cost} = \text{Variable Cost per unit} \times \text{Quantity Produced} \)

Memory Aid:
• Fixed costs are Flat (they don't move).
• Variable costs Vary (they go up as you make more).

3. Calculating Total Costs (TC)

To find out the total amount of money a business has spent, we simply add the Fixed Costs and the Variable Costs together.

The Formula for Total Costs:

\( \text{Total Costs} = \text{Total Fixed Costs} + \text{Total Variable Costs} \)

Example Calculation:
Let's go back to our phone case business:
• Fixed Costs: Rent and insurance = £1,000.
• Variable Cost per unit: Each case costs £3 to make (plastic and packaging).
• Quantity: We make 200 cases.

Step 1: Find Total Variable Costs: \( 3 \times 200 = \$600 \).
Step 2: Add Fixed Costs: \( 1,000 + 600 = \$1,600 \).
Total Cost = £1,600.

Did you know?
Even giant companies like Amazon started with high fixed costs (warehouses) but very low variable costs per item because they bought in such huge quantities!

Quick Review:
• Fixed Costs: Stay the same regardless of output.
• Variable Costs: Increase as output increases.
• Total Costs: The sum of Fixed and Variable costs.

Key Takeaway: Understanding the difference between fixed and variable costs helps a manager decide if they can afford to increase production or if they need to cut back on expenses.

Summary Checklist

Before you move on, make sure you can answer these three questions:
1. Can I calculate Sales Revenue if I am given the price and the quantity sold?
2. Can I explain the difference between a Fixed Cost and a Variable Cost?
3. Do I know how to add them together to find the Total Cost?

Don't worry if it feels like a lot to remember—just keep practicing these three simple formulas and they will become second nature!