Production Costs
Reading: Chapter 7 of Tucker
Overview:
Costs and Profit
Except for not-for-profit entities such as the North Coast Co-op, the motivation for business decisions is profit maximization. Profit maximization helps explain why managers or firms choose a particular level of output or price.
The total opportunity cost of a business is the sum of explicit costs and implicit costs.
There are three definitions for profit -- everyday, Accounting, and Economic.
Profit = total revenue - total cost
Accounting profit = total revenue - total explicit cost
Accounting practice tends to overstate profit, however, because implicit costs are not included.
Economic profit = total revenue - total opportunity costs
Normal Profit: The minimum profit necessary to keep a firm in operation. A firm that earns normal profit earns total revenue equal to its total opportunity cost.
Short-Run Production Costs
Economists distinguish short-run and long-run time horizons based on the ability to vary the quantity of inputs or resources used in production. There are two type of inputs to be considered:
Short-Run: A period of time so short that there is at least one fixed input.
Long-Run: A period of time so long that all inputs are variable.
Production Function: The relationship between the maximum amounts of output a firm can produce and various quantities of inputs. It is assumed in this model that the level of technology is fixed.
Marginal Product: The change in total output produced by adding one unit of a variable input, with all other inputs used being held constant.
Law of Diminishing Returns: The principle that beyond some point the marginal product decreases as additional units of a variable factor are added to a fixed factor. This law determines the shape of the product curve.
Short-Run Cost Formulas
There are two "families" of relationships between short-run costs and output: total cost curves and average cost curves.
Total Cost Curves
Two basic categories of costs:
Total Cost (TC): The sum of total fixed cost and total variable cost at each level of output.
TC = TFC + TVC
Average Cost Curves
Average cost is the per-unit cost.
AFC = TFC/Q
AVC = TVC/Q
ATC = AFC + AVC = TC/Q
MC =
Change in TC
Change in Q
Since the only part of TC that changes in the short run is TVC, then we also have
MC =
Change in TVC
Change in Q
Marginal Cost Relationships
Marginal-Average Rule: The rule links the marginal cost curve with the average cost curve. The rule states:
The connection between the marginal product (MP) curve and the marginal cost (MC) curve: The shape of the MC curve is the mirror reflection of the shape of the marginal MP curve.
The marginal cost declines as the marginal product of a variable input rises if the wage rate is constant. Beginning at the point of diminishing returns, the marginal cost rises as the marginal product of a variable input declines.
Important point: Diminishing marginal returns ==> increasing marginal costs.
Long-Run Production Costs
Recall the definition of long-run: a period of time so long that all inputs are variable.
Long-Run Average Cost (LRAC) Curve: The curve that traces the lowest cost per unit at which a firm can produce any level of output when the firm can build any desired plant size.
Different Scales of Production
Usually a young firm will start small and increase plant size as it matures. As the scale of operation expands, the LRAC curve can follow three different patterns.
Economies of Scale: A situation in which the long-run average cost curve declines as the firm increases output. The curve slopes downward. This occurs at the lowest range of output.
Reasons for economies of scale:
Constant Returns to Scale: A situation in which the long-run average cost curve does not change as the firm increases output. The curve is flat. This occurs in the middle range of output.
Economists believe this is the shape of output in most real-world industries.
Diseconomies of Scale: A situation in which the long-run average cost curve rises as the firm increases output. The curve slopes upward. This occurs at the highest range of output.
Reasons for diseconomies of scale: