Microeconomics I partie 5/9

Fiches de révisions

Fiches de révisions


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Utility maximization VS cost minimization

Isocost line

Cost minimization problem

Explaining AVC according to MC

Long-run profit maximization problem

Cost minimization with Cobb-Douglas technology part2

Cost minimization with Cobb-Douglas technology part1

Long run profit maximization with Cobb-Douglas technology

Cost minimization with perfect substitutes technology

Cost minimization with fixed proportions technology

Output expansion path

Cost minimization

Long run profit maximization graph

Long run profit maximization

Exercise 2: Short-run profit maximization with Cobb-Douglas technology

Comparative statics 2
Suppose the price of output increases: p rises

Downward sloping factor demand: algebra

Comparative statics 1
Suppose the price of factor 1 increases: w augments

Short-run profit maximization: tangency condition

Isoprofit line

Construct from profit maximization

Short-run profit maximization

Fixed factor

Paying even if no production

Example of a quasi-fixed factor

electricity only if producing

Present value's formula

Economic profit

Long run VS short run

Short run: At least one factor of production is fixed
Long run: All factors of production are variable

A well-behaved technology is

I convex: if the input bundles x' and x'' both provide y units of output then the mixture tx' + (1-t)x'' provides at least y units of output, for any 0 < t < 1
I monotonic: more of any input generates more output

Diminishing Technical Rate of Substitution

(marginal) Technical Rate of Substitution (TRS)

Examples of return to scale: Cobb-Douglas

Examples of return to scale: fixed proportions and perfect substitutes

Difference between marginal product and return to scale

Marginal products describe the change in output level as a single input level changes
Returns-to-scale describes how the output level changes as all input levels change in direct proportion (e.g. all input levels doubled, or halved)

Check if diminishing marginal product

Derive twice the production function

Diminishing marginal product

Marginal product of factor

Examples of technology