PS1 - y 4 x 2 2 x y x 1/2 2 x (Hint: Find x and y such that...

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Problem Set 1 - Math Review 1. If the price level was p 0 10 and today it is p 1 25 , calculate the percentage change of prices between yesterday and today. 2. Calculate y k , y l and y A for the following functions (if the function does not depend on k , lorA just calculate the other derivatives): y Ak l 1 y Ak 1 2 l 1 2 y Ak 1 3 l 2 3 y Ak 2 3 l 1 3 y k y l 2 2 k 5 y k 3 2 l 2 y 2 k 4 A 64 3. Simplify the following expressions (for example x 2 x x 3 ): x 1 2 x 1 5 x 1 10 x 2 x 5 10 14 x 2 x 5 x 10 k 1 l 1 k 1 k l l
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4. Solve each of the following equations for x : x 2 x 7 x 5 x 2 x 2 4 x 1 3 2 x 3 8 0.2 x 1 2 0.8 x 0.2 x 1 3 0.1 0.63 x 0.63 x 1 3 0.25 x 0.75 0.2 5. Find the maximum or minimum of the following functions:
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Unformatted text preview: y 4 x 2 2 x y x 1/2 2 x (Hint: Find x and y such that the slope is ) 6. Plot the following functions showing clearly at least two points for each y 3 x 5 y 3 x 2 3 7. Let Q d and Q s denote the demand and the supply for pizza respectively. Also let P be the price of a pizza. Assume that Q d 100 6 P Q s 4 P 50 Find the market clearing price P . How many pizzas are actually sold at this price?...
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PS1 - y 4 x 2 2 x y x 1/2 2 x (Hint: Find x and y such that...

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