Production Function: Shows the relationship between quantity of inputs used to make a good and the quantity of output of that good., pic1, pic2
Marginal Product: The increase in output that arises from an additional unit of input.
eg. if a shoe factory produces 100 pairs of shoes with 5 workers, and then it produces 110 pairs when a 6th worker is added, the marginal product of labor is 10 pairs of shoes (110-100).
Diminishing Marginal Product: The property whereby the marginal product of an input declines as the quantity of the input increases.
eg. As more and more workers are hired at a firm, each additional worker contributes less and less to production because the firm has a limited amount of equipment.
The slope of the production function represents the marginal product of an input, specifically in the eg, (110-100 / 1-0) = 10
When the marginal product starts to decline (due to the law of diminishing marginal returns), the production function becomes flatter. This means that each additional worker is contributing less to the total output than the previous worker.
From the production function to the total-cost curve
relationship btw the quantity can produce & its cost β pricing decision, illustrated graphically by the total-cost curve
the various measures of cost
Fixed Costs (FC): Costs that do not vary with the quantity of output produced.
For example, the rent for a factory or the salary of permanent staff. These costs have to be paid whether the factory produces 100 units or 1000 units.
Variable Costs (VC): Costs that vary with the quantity of output produced.
For example, the cost of raw materials or the wages of temporary workers. If you produce more units, youβll need more raw materials and possibly more workers.
Total Costs (TC): Sum of total fixed costs (TFC) and total variable costs (TVC). βTC=TFC+TVC
Average Costs
Average Costs: Determined by dividing the firmβs costs by the quantity of output it produces.
Average Fixed Costs (AFC): AFC=FC/Q
Average Variable Costs (AVC): AVC=VC/Q
Average Total Costs (ATC): ATC=TC/Q
U-shaped curve
at low number of output, ATC is high, as fixed cost spread over only a few units
decline as output increases
start rising as AVC rises substantially
efficient scale: bottom of u-shaped ATC curve, where the quantity minimizes ATC
Marginal Cost (MC): Measures the increase in total cost that arises from an extra unit of production. MC=β³TC/β³Q (change in total cost / change in quantity)
MC rises with the amount of output produced (reflect the diminishing marginal product)
MC = ATC at efficient scale, or minimum of ATC, pic
Costs in the Short Run and in the Long Run
In the short run, some costs are fixed, while in the long run, fixed costs become variable costs. β division btw fixed costs and variable costs depend on the time frame being considered
A firmβs long-run cost curves differ from its short-run cost curves due to this distinction.
Economies of Scale: Property whereby long-run ATC falls as the quantity of output increases.
For example, a car manufacturer may buy parts in bulk. The more cars they make, the cheaper each part becomes, reducing the overall cost of each car.
Diseconomies of Scale: Property whereby long-run ATC rises as the quantity of output increases.
For example, a company might grow so large that it becomes inefficient. Communication may become difficult, leading to delays and increased costs.
Constant Returns to Scale: Property whereby long-run average total cost stays the same as the quantity of output increases.
For example, a bakery might find that doubling the number of loaves of bread they bake doesnβt change the cost per loaf, because the cost of ingredients and the time to bake each loaf remains constant.