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Introduction to Economics. Egor Sidorov. Production function and output Costs within the short run Costs within the long run. Inputs and outputs.
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Introduction to Economics Egor Sidorov
Production function and output Costs within the short run Costs within the long run
Inputs and outputs • Economics assumes that firms do their best to achieve maximum efficiency: i.e. producing maximum output with the available inputs and at minimum costs. • Production is the result of co-operation of all factors of production. • Output level depends on: • technology (T), • capital stock (K), • land stock (R) • and amount of labour input (L).
Production function • function that specifies the maximum output of a firm, given the available combinations of inputs. Production function reflects the technology level. Q = f(R, L, K, T,…) 1 800 1 000 L 4 2 1 Q=f(L, K), other factors remain equal 2 K
Total and marginal physical product • Assuming that land and capital remain unchanged within the short run and the only variable factor is labor, one can observe the following: TPP (Total physical product) MPP (Marginal physical product) 3000 Law of diminishing returns 2000 Mathematically marginal product is the first derivation of production function 1000 1000 1500 500 Labor 2 2 3 3 1 1 4 4 5 5 6 6 Labor
Relationship between total product (TP) and marginal product (MP) TP PF MP AP PF TP TP TP TP Increasing (marginal) returns Diminishing (marginal) returns Who wants to produce like this? MP MP MP MP - + +
Law of diminishing returns MP = TP / F • Marginal product is the extra output produced by one more unit of an input. • In a production system where one input is variable and the rest are fixed, at some point, additional unit of variable input yields smaller and smaller increases in output (i.e. marginal product decreases).
Returns to scale • Law of diminishing returns concerns the changes of only one input while the rest remain fixed. • Returns to scalerefers to changes in output subsequent to a proportional change in all inputs: • Constant returns to scale, • Increasing returns to scale(Economies of scale), • Decreasing returns to scale (Diseconomies of scale). • E.g. one can refer to economies of scale if quantity of all input factors are increased by some amount (e.g. by 10 percent) and costs subsequently increase by a lesser amount (e.g. by 8 percent).
Short vs long run • Short run is a time frame when the firm can change only part of its production factors (the so-called variable production factors), while at least one production factor remain unchanged (the so-called fixed production factors). • E.g. the faculty building is a fixed production factor, while professors represent variable production factors within the short run ► • Long-run assumes no fixed factors of production, so all factors are variable.
Technologicalchange Quantity of transistors(mil) Core 2 Duo 2050 Pentium I, II, III, IV Intel 386 TP 3000 2009 2000 1000 2 3 1 4 5 6 Labor
Optimal (least costly) input combination • Isoquantcurve refers to all combinations of inputs producing the same output (TP1). • Capital and labor cost money. Economists try to figure out which one of possible technological combinations is the cheapest for the necessary level of output. TP1 Capital A Technical Rate of Substitution– rate, at which the quantity of one input has to be reduced when one extra unit of another input is used, so that output remains constant Labor
2 1 30 10 20 Isocost curve (equal cost curve) • Isocostis a budget line of a firm, showing all combinations of inputs which the firm can “afford”. E.g. the cost of maintaining excavator is equal to employing 15 workers. Our budget allows us either lease 2 excavators or to hire 30 workers.
2 1 30 10 20 Optimal production point • Optimal production point is established by putting together our technological possibilities (isoquant) and our budget (isocost). • The tangent point shows the optimal combination of inputs given the current technological conditions.
Production function and output Costs within the short run Costs within the long run 19. 12. 2019 15
Costs within the short run • Firms buy labor, capital and land on the production factor markets in order to maintain production. • Total costs of a firm consist of: • Fixed costs(FC) are not dependent on the level of output(e.g., rent payments). • Variable costs(VC) change in proportion to level of output.
Fixed and variable costs C (USD) • The growth of variable costs is usually non-linear. In many cases it is connected with the different level of variable factors’ exploitation. VC Progressive Degressive Proportional(linear) 3000 FC 2000 1000 2 3 1 4 5 6 Q
Total (TC) andMarginal Costs (MC) MC = TC / Q • Marginal cost is the change in total cost that arises when the quantity produced changes by one unit. • What are marginal costs of transporting additional passenger on the plane? TC (Total costs) MC (Marginal costs) 3000 TC 2000 Mathematically marginal product is the first derivation of the cost function 1000 1000 1500 MC 500 Q 2 2 3 3 1 1 4 4 5 5 6 6 Q
Unit costs AC = TC / Q AC = AVC + AFC • Average costs (AC, AVC a AFC) are derived as TC, VC or FC divided by volume of output. • Average fixed costs (AFC) – the downward slope of the curve shows that it is sensible to distribute fixed costs among the greater amount of products. TC AC AC 1000 AVC 500 1000 AFC 2 3 1 4 5 6 Q
Technological optimum • Minimum production costs refer to the point where marginal cost curve crosses average cost curve. • When MC is below AC,AC is decreasing • MC crosses AC in the lowest point, after it AC begin to increase AC, MC AC MC AVC 2 3 1 4 5 6 Q 19. 12. 2019
Production function and output Costs within the short run Costs within the long run 19. 12. 2019 21
Total costs within the long run • The total costs curve within the long run has the same shape as within the short run. • Within the short run the shape of TC curve is determined by returns to production factor. • Within the long run the shape of the curve is determined by the returns to scale.
Average costs within the long run • The long-run AC curve reflects the technological changes. • LRAC shows the lowest AC of production for different periods and for different technologies. AC1 AC3 2000-2005 AC2 2005-2009 1995-2000
Understanding costs: accounting vs. economic definitions • Accountant’s viewpoint: • Explicit costsare costs that the firm actually pays e.g. for hiring employees or buying raw materials. • Manager’s and economist’s viewpoint : • Implicit costs (opportunity costs) occur when one foregoes an alternative action but does not make an actual payment. Managers and economists should consider them before making decisions.
Thank you for attention! Refernces: SAMUELSON, P. A., NORDHAUS, W. D. Ekonomie 18. vydání.Praha: Svoboda, 2005. KRAFT, J., RITSCHELOVÁ, I. Ekonomie pro environmentální management. Ústí n. L.: UJEP, 2003. MCDOUGAL LITTELL. Economics: Concept and Choices. Canada: McDougal Littell, 2008. www.intel.com