What are the average fixed cost, average variable cost and average cost of a firm? How are they related?
Average Fixed Cost (AFC) is defined as the total fixed cost per unit of output. It is calculated as AFC = TFC/q, where TFC is total fixed cost and q is the quantity of output.
Average Variable Cost (AVC) is defined as the total variable cost per unit of output. It is calculated as AVC = TVC/q, where TVC is total variable cost. Short Run Average Cost (SAC) is defined as the total cost per unit of output, calculated as SAC = TC/q.
These three average costs are related through the equation: SAC = AVC + AFC. This relationship holds because total cost (TC) equals the sum of total fixed cost (TFC) and total variable cost (TVC). When we divide TC = TVC + TFC by output (q), we obtain SAC = AVC + AFC. Thus, the short run average cost equals the sum of average variable cost and average fixed cost.
Explanation
The textbook defines AFC, AVC, and SAC in equations 3.9, 3.8, and 3.7 respectively. The relationship SAC = AVC + AFC is explicitly stated in equation 3.10, derived from the fact that TC = TVC + TFC (equation 3.6).