I. Production A.Economic Profit B. Short-run vs Long-run C. Total Product (Q), MPL and APL II. Marginal Reasoning for the firm A. Marginal Revenue B. Marginal Cost C. III. The Decision Rule for the firm Short Run costs and the Family of cost Curves. A. Formulas B. Calculate C. Graph D.Interpret (6 points of interest) Production and the Cost of Production Economic Profit vs Accounting Profit Explicit costs – costs that require an outlay of $. Ex: wages, rent, utility bills Implicit costs – the opportunity costs of resources the firm uses in production that requires no direct outlay of $. Ex: Value of entrepreneurs labor. Ex: Interest that could have been earned with owner’s assets that were tied-up in the business. - Accountants and Economists agree that: π = TR – TC - However, they disagree on how to define TC (total costs). Economists include explicit and implicit costs. Accountants include only explicit costs. Ex: Balance sheet of economist vs accountant You quit your job that paid $23,000/year and opened up a health food store. Accountant: Total Revenue From food sold $ 130,000 Costs Cost of food 85,000 Wages 20,000 Utilities and taxes 10,000 Rent 10,000 125, 000 π = TR – TC = 130,000 – 125,000 = 5,000 Economist: Total Revenue From food sold $ 130,000 Explicit Costs Cost of food 85,000 Wages 20,000 Utilities and taxes 10,000 Rent 10,000 125, 000 Implicit Costs Forgone salary 23,000 Economists Total Costs = Explicit Costs + Implicit Costs TC = 125, 000 + 23,000 = 148,000 Economic π = TR – (Explicit Costs + Implicit Costs) = 130,000 – 148,000 = -18,000 → loss What are the opportunity costs of an item with explicit costs? The amount of $ you pay for it. Therefore, Economic π = TR – (opportunity costs of all inputs) Or Economic π = TR – (Explicit Costs + Implicit Costs) Short-run vs Long-run Short-run - a period of time in which the plant capacity cannot be changed. Note: Other resources are variable, except capacity. Therefore, output can vary in the short-run by varying say, labor. Long-run – a period of time in which all resources used in production can be changed (including plant capacity). Production Assume there are 2 inputs to production, capital (K) and labor (L). Total Product (TP) – the maximum output (Q) that is attainable as labor (L) increases and capital (K) is fixed. Note: TP is a short-run curve, since K is fixed. Marginal Product of labor (MPL) – shows the change in output from a one unit change in labor. MPL = Average Product of labor (APL) – total output divided by the total number of workers employed. APL Table Ex: Labor (L) Total Product (Q) Marginal Product (MPL) 0 0 - 1 10 10 2 22 12 3 33 11 4 42 9 5 48 6 6 50 2 General Graph: - As long as MPL > APL APL is ↑’ing - As long as MPL < APL APL is ↓’ing Why? Aside: Basketball player averages 10 points/game for 1st ten games. During the 11th game, the player only scores 8 points. If she scores (on the margin) less than 10 points her average will fall. The Bottom Line: - If what you add on the margin is above the average average will increase. - If what you add on the margin is below the average average will decrease. Note: MPL= APL at maximum of APL Marginal Reasoning for the Firm: How do we make decisions? Marginal Reasoning - weighing the marginal benefit of a decision to the marginal cost. Goal of firm: Maximize profit - We will show how firms use marginal reasoning to maximize π (profit). Total Revenue (TR)product Total receipts for the sale of a TR = Price x Quantity Sold TR = P x Q Marginal Revenue (MR) - Marginal benefit for the firm. -The addition to revenue of selling an additional unit of output. MR = TR/Q Ex: Lumber Yard (firms sells lumber at $270 a bundle) Output (Q) 0 1 2 3 4 5 6 7 8 9 10 TR = PQ MR = TR/Q Costs Total Costs (TC)- The total outlays of a firm in producing its output Fixed Costs: Costs that do not vary with the quantity produced. Ex: Variable Costs: Costs that vary with the quantity produced. Ex: TC = Fixed Costs + Variable Costs Marginal Costs (MC)- The addition to cost of producing another unit of output. MC = TC/Q Profit (π) = Total Revenue – Total Costs π = TR - TC Recall the lumber company example. The Lumber Yard sells lumber at $270 a bundle. Calculate MC and π for the previous example: Output TR = (Q) PQ 0 0 MR = TC TR/Q 180 1 270 270 445 2 540 270 685 3 810 270 895 4 1,080 270 1,075 5 1,350 270 1,285 6 1,620 270 1,525 7 1,890 270 1,795 8 2,160 270 2,125 9 2,430 270 2,515 10 2,700 270 2,965 MC = π = TR-TC TC/Q Why does MC start high then drop, then rise again? 1. At low levels of Q MC is high 2. MC is dropping 3. MC is increasing The Firms’ Decision Rule: - Goal of a firm is to maximize π. - Specifically, we want to find the optimal level of output (Q*) that maximizes π. How? Weigh the marginal benefits to the marginal costs. Recall, for the firm: MR is the marginal benefit. MC is the marginal cost. Profit: π = TR-TC Rule to find Q* (the level of output that maximizes π): Continue to produce as long as the marginal benefit exceeds MC. - Specifically: If MR > MC ↑ Q If MR < MC ↑ Q Graph: (Go back to chart) (Optimal Level of output) Q* = 7 Note: Q* does not the firm is making π. But if the firm operates at loss minimizing the loss. Short Run Costs Total Fixed Costs (TFC): costs that do not vary with output. Total Variable Costs (TVC): costs that do vary with output. Total Costs: TC = TFC + TVC Lets define our average costs: Average Total Costs: (ATC) ATC = TC / Q Average Variable Costs: (AVC) AVC = TVC / Q Average Fixed Costs: (AFC) AFC = TFC / Q Calculate the following from the information given: Output TFC (Q) 0 180 TVC TC 0 180 1 450 2 690 3 900 4 1080 5 1290 6 1530 7 1800 8 2130 9 2520 10 2970 AFC = AVC = TFC/Q TVC/Q ATC = TC/Q Graph TC, TVC, TFC Curves: Graph MC, ATC, AVC, AFC Curves: 6 Points Of Interest 1. ATC is always above AVC 2. MC is decreasing, then increasing 3. MC intersects ATC at the minimum of ATC Recall: - If what you add on the margin is above the average average will increase. - If what you add on the margin is below the average average will decrease. On Our Curve: At low Q, MC is below the ATC ATC is decreasing After the point of intersection (of MC and ATC) MC is above ATC ATC increases. 4. MC intersects AVC at the minimum of AVC (same reasons as number 3) 5. AFC is decreasing as output increases. 6. Distance between ATC and AVC is large on the left and small on the right. Why?