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Envelope

Because we use the envelope theorem in constrained optimisation problems often in the text, proving this theorem in a simple case may help develop some intuition. Thus, sup-pose we wish to maximise a function of two variables and that the value of this function also depends on a parameter, a: f (x1, x2, a). This

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Technology reduces

If a new breakthrough in manufacturing technology reduces the cost of producing Blu-ray players by half, what will happen to the each of the following? a. Supply of Blue-ray players.b. Demand for Blu-ray players.c. Equilibrium price and quantity of Blu-ray players.d. Demand for Blu-rays.

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Quasi-concavity

In footnote 7 we showed that for a utility function for two goods to have a strictly diminishing MRS (i.e., to be strictly quasi-concave), the following condition must hold: Use this condition to check the convexity of the indifference curves for each of the utility functions given below. Describe the precise relationship between diminishing marginal

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Weighted average

The definition of the variance of a random variable can be used to show a number of additional results. a. Show that Var(x) =E(x2) – [E(x)]2.b. Use Markov’s inequality to show that if x can take on only non-negative values, This result shows that there are limits on how often a random variable can be

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Technology reduces

If a new breakthrough in manufacturing technology reduces the cost of producing Blu-ray players by half, what will happen to the each of the following? a. Supply of Blue-ray players.b. Demand for Blu-ray players.c. Equilibrium price and quantity of Blu-ray players.d. Demand for Blu-rays.

Technology reduces Read More »

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