managerial economics

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managerial economics chapter three optimization techniques by: teklebirhan a. (asst. prof) e-mail: tbalemnew@gmail.com 1 aau , 2024 2  understand the concept of optimization techniques  solving economic problems using the substitution method and lagrange multiplier method.  understand the concept of differential calculus  compute the partial derivatives.  apply the partial derivatives concepts in solving economic problems chapter objectives 3 many problems in economics involve the determination of “optimal” solutions.  for example, a decision maker might wish to determine the level of output that would result in maximum profit. the process of economic optimization essentially involves three steps: 1) defining the goals and objectives of the firm, 2) identifying the firm’s constraints and 3) analyzing and evaluating all possible alternatives available to the decision maker. 3.1. introduction 4 economic optimization involves maximizing or minimizing some objective function, which may or may not be subject to one or …
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volve more than one independent (explanatory) variable.  for example, consider the following sales (q) function of a firm that depends on the price of the product (p) and levels of advertising expenditures (a): 푸 = 풇 (푷,푨) 3.2.3. partial derivatives & multivariate optimization: the first-order condition 9 to determine the marginal effect of each variable, we take the first derivative of the function with respect to each variable separately, treating independent the remaining variables as constants. this process, known as taking partial derivatives, is denoted by replacing 풅 with ∂. example: consider the following explicit relationship: 푸 = 풇 (푷,푨) = ퟖퟎ푷 − ퟐ푷ퟐ − 푷푨 − ퟑ푨ퟐ + ퟏퟎퟎ푨 (where a is in thousands of dollars) determine the values of the independent variables that maximize the objective function? and the sales volume? cont….. 10 to determine the values of the independent variables that maximize the objective function, we …
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managerial economics chapter three optimization techniques by: teklebirhan a. (asst. prof) e-mail: tbalemnew@gmail.com 1 aau , 2024 2  understand the concept of optimization techniques  solving economic problems using the substitution method and lagrange multiplier method.  understand the concept of differential calculus  compute the partial derivatives.  apply the partial derivatives concepts in solving economic problems chapter objectives 3 many problems in economics involve the determination of “optimal” solutions.  for example, a decision maker might wish to determine the level of output that would result in maximum profit. the process of economic optimization essentially involves three steps: 1) defining the goals and objectives of the firm, 2) identifying the firm’s constrain...

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