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Economics 101: Principles of Economics. Questions? Read Ch. 13 and 14 Data Assignment #1 handout Learning Excel … (a) Extra session next Tuesday in Chambers 337 computer lab and/or (b) TA session next Thursday 9-10 pm in Chambers 337. Production.
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Economics 101: Principles of Economics • Questions? • Read Ch. 13 and 14 • Data Assignment #1 handout • Learning Excel … (a) Extra session next Tuesday in Chambers 337 computer lab and/or (b) TA session next Thursday 9-10 pm in Chambers 337
Production • So far we’ve looked at consumer behavior, assuming the supply of goods & services was given • What determines the quantity of goods a firm produces? • How productive are our inputs (K, L, land, raw materials)? • What is our technology in the production process? • How much do they cost? We want to minimize costs. • What is the profit-maximizing level of output? • Begin with a production function which represents the relationship between inputs and output: Q = f (L, K, M, …) Tells us the maximum output level, Q, for given inputs (L, K, M, etc.) using technology “f ”
Short-term Production • Of course there are dozens (hundreds?) of inputs • Short-term is a period of time over which the use of a given input is very costly to change. (land, building, etc.) In the long-run, all inputs are variable. • Assume that K is fixed in short-term and L is the only input that a firm can change. (two input model) • Total Product = total output produced by a firm • Average Product of Input i = total product divided by amount of input used to make that total product • Marginal Product of Input i = change in total output that results from a one-unit change in the amount of input, holding other inputs constant
Production with One Variable Input APL= Q/LMPL= (Q/ L)|K --- --- 5 5 9 13 10 12 10 10 9 5 8 3 7 1 6.1 0 5 -4 • Short-run vs. Long-run CapitalLaborTotal Product (Q) 3 0 0 3 1 5 3 2 18 3 3 30 3 4 40 3 5 45 3 6 48 3 7 49 3 8 49 3 9 45
Geometry of TP, APL, MPL Q • APL = Q/L • APL at a given level of L is the slope of ray from origin to TP curve • MPL= Q/L • MPL measures how much Q changes for another unit of L, holding K constant • MPL at a given level of L is the slope of TP curve at that point • MPL rises until the inflection point (about L = 2) and then falls • When MPL = 0, TP is at maximum 49 TP 40 18 2 4 8 L Q per worker MPL 13 10 APL 2 4 8 L
Key characteristics: If MPL > 0, TP rises If MPL < 0, TP falls If MPL = 0, TP at maximum If MPL > APL, APL rising If MPL < APL, APL falling MPL = APL at APL’s max Examples: avg height in room Batting averages Total, Average, and Marginal Product Q 49 TP 40 18 2 4 8 L Q per worker MPL 13 10 APL 2 4 8 L
Diminishing Marginal Returns • Diminishing Marginal Returns is an empirical observation about how output responds to more inputs. • It means that as the amount of some input is increased (in equal increments), the changes in output will become smaller after some point. • Key points: 1. It says the MPL begins to decrease after some point, not that it becomes negative. Malthus’ prediction: “With fixed land and diminishing MPL, food supplies will become insufficient”. What did he miss? 2. Ceteris paribus. i.e., other inputs are held constant: K, energy, raw materials, & technology. If you find a better way to produce, that shifts your entire TP curve!