Chapter 19: Profit Maximization Problem Instructor: Hiroki Watanabe Summer 2009 1 / 49 Intro SPMP Comparative Statics LPMP Factor Demand Returns to Scale Σ 1 2 3 4 5 6 7 Introduction Overview Short-Run Profit Maximization Problem Definitions Short-Run Profit Maximization Problem Solution to Short-Run Profit Maximization Problem Example Interpretation Comparative Statics Long-Run Profit Maximization Problem Solution to Long-Run Profit Maximization Problem Tangency
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ECON 600 Lecture 3: Profit Maximization I. The Concept of Profit Maximization Profit is defined as total revenue minus total cost. Π = TR – TC (We use Π to stand for profit because we use P for something else: price.) Total revenue simply means the total amount of money that the firm receives from sales of its product or other sources. Total cost means the cost of all factors of production. But – and this is crucial – we have to think in terms of opportunity cost‚ not just explicit
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Operational Research (OR) DR. SUPRIYA KUMAR DE ASSIGNMENT XLRI-PGCBM-18 NAME: GH. RASOOL WANI SMS ID: 2217429 Table of Contents 1. Problem: 1 2. Solution: 2 2.1 Manual Approach 2 2.2 Linear programming approach 2 2.2.1 Decision Variables: 3 2.2.2 Objective Function: 3 2.2.3 Constraints: 3 2.3 Excel Solution. 6 2.3.1 Excel Solution Embedded: 6 3. Analysis: 6 3.1 Sensitivity Analysis: Objective Function 6 3.2 Sensitivity Analysis:
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EMPLOYMENT IN ORGAINSED AND UNORGANISED SECTOR Introduction Employment is another indicator of the health of the economy. Employment is directly related with the national income because a higher employment will be followed by a higher output and thereby income. Not only that‚ a higher level of employment encourages advancement in education‚ skill formation‚ human resource development and a better physical quality of life. Hence‚ study of employment helps us to estimate the real status of the
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Sales Maximization A reasonable‚ and often pursued objective of firms is to maximize sales‚ that is‚ to sell as much output as possible. Clearly sales lead to revenue‚ meaning that maximizing sales is also bound to maximize revenue. But as the analysis of short-run production indicates‚ maximizing sales does NOT necessarily maximize profit. So why do firms do it? Are firms unreasonable? Are they irrational? Do they NOT understand the basic economic principles of short-run production? For some firms
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LINEAR REGRESSION MODELS W4315 HOMEWORK 2 ANSWERS February 15‚ 2010 Instructor: Frank Wood 1. (20 points) In the file ”problem1.txt”(accessible on professor’s website)‚ there are 500 pairs of data‚ where the first column is X and the second column is Y. The regression model is Y = β0 + β1 X + a. Draw 20 pairs of data randomly from this population of size 500. Use MATLAB to run a regression model specified as above and keep record of the estimations of both β0 and β1 . Do this 200 times. Thus you
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Profit Maximization Marginal revenue is the change in revenue which comes from the sale of an additional unit of output. The relationship with total revenue is that total revenue is used in the formula to calculate marginal revenue. A company can calculate marginal revenue by dividing the change in total revenue with the change in output quantity. Because of demand‚ as production quantity increases the revenue per unit will decrease. On the other hand‚ marginal cost is the change in the total
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Integer Programming 9 The linear-programming models that have been discussed thus far all have been continuous‚ in the sense that decision variables are allowed to be fractional. Often this is a realistic assumption. For instance‚ we might 3 easily produce 102 4 gallons of a divisible good such as wine. It also might be reasonable to accept a solution 1 giving an hourly production of automobiles at 58 2 if the model were based upon average hourly production‚ and the production had the interpretation
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using the optimal output rule: produce where marginal revenue equals marginal cost as Smith (1904) demonstrated. Figure 1: Types of Market Structure where the behavior of any given firm and the market it occupies are analyzed using one of four models of market structure: monopoly‚ oligopoly‚ perfect competition‚ or monopolistic competition based on two dimensions: products are differentiated or identical and the number of producers in the industry; one‚ a few‚ or many. A firm is profitable if
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Course Assignment: An Integer Programming Model with Time-based Preference Ayman Abd El Karim Mohammad Hazaymeh‚ Razamin Ramli*‚ Engku Muhammad Nazri Engku Abu Bakar‚ Ang Chooi Leng College of Arts and Sciences‚ Universiti Utara Malaysia 06010 Sintok‚ Kedah Email: azhnelove@yahoo.com‚ {razamin‚ enazri‚ ang}@uum.edu.my Abstract Assigning of lecturers to courses is an important administrative task that must be performed in every academic department or faculty each semester
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