Calculation of TR and AR

Resources | Subject Notes | Economics

Microeconomic Decision-makers - Firms' Costs, Revenue and Objectives

Objective: Calculation of TR and AR

This section focuses on how firms make decisions regarding production, considering their costs, revenue, and various objectives. A key aspect is understanding Total Revenue (TR) and Average Revenue (AR).

Total Revenue (TR)

Total Revenue represents the total amount of money a firm receives from selling its goods or services.

Formula:

$TR = P \times Q$

Where:

  • $TR$ = Total Revenue
  • $P$ = Price per unit
  • $Q$ = Quantity of units sold

Example: If a firm sells 10 units at a price of $5 each, its total revenue is:

$TR = $5 \times 10 = $50$

Average Revenue (AR)

Average Revenue is the total revenue divided by the quantity of units sold. It represents the average price a firm receives for each unit.

Formula:

$AR = \frac{TR}{Q}$

Where:

  • $AR$ = Average Revenue
  • $TR$ = Total Revenue
  • $Q$ = Quantity of units sold

Example: If a firm sells 10 units and its total revenue is $50, its average revenue is:

$AR = \frac{$50}{10} = $5$

Relationship between TR and AR

The relationship between Total Revenue and Average Revenue is crucial for understanding a firm's profitability. The following holds true:

  • If $AR > P$, then $TR > AR$
  • If $AR < P$, then $TR < AR$
  • If $AR = P$, then $TR = AR$

This relationship is often visualized with a firm's average revenue (AR) and total revenue (TR) curves.

Table Summarizing TR and AR Calculations

Quantity (Q) Price (P) Total Revenue (TR = P x Q) Average Revenue (AR = TR / Q)
10 $5 $50 $5
20 $6 $120 $6
30 $7 $210 $7

Figure: Suggested diagram: A graph showing the Total Revenue (TR) and Average Revenue (AR) curves. The TR curve typically slopes upwards, while the AR curve is typically constant. The intersection point represents the quantity where TR = AR.

Importance of TR and AR

Understanding TR and AR is essential for firms to make informed decisions about:

  • Production levels: Firms aim to maximize profit, which occurs when Marginal Revenue (MR) equals Marginal Cost (MC).
  • Pricing strategies: Firms need to consider how price changes will affect their revenue.
  • Overall profitability: Analyzing TR and AR helps assess the financial health of the firm.