Cross price elasticity of demand-arc-elasticity formula


Question 1: CPI/Inflation

You have the following information about the economy for Little Italy

Year    Price of Spaghetti    Price of Meatball    Price of Cannoli
2005           $4                         $1                        $2
2006           $6                         $1                        $2
2007           $6                         $2                        $2

The market basket of goods in Little Italy is one Italian dinner.  The Italian dinner is comprised of:

1 order of Spaghetti, 2 Meatballs and 1 Cannoli (This is the market basket)

Using any base year you would like, calculate the inflation rate between 2006 and 2007.  (Hint: the inflation rate is the same no matter what base year you use.)

Question 2: Elasticity

You have the following information about Steak and Lobster.

Quantity of Steak    Quantity of Lobster    Price of Lobster
100                                   100                     $20
75                                      80                      $25

1. Find the cross price elasticity of demand for steak, using the arc-elasticity formula.

2. Are steak and lobster substitutes, complements or neither? (Circle your answer)

a. Substitutes
b. Complements
c. Neither
d. Not enough information

Question 3: Utility and Preferences

You know the following information about an individual and their preferences between X and Y, and information about the market for goods X and Y.

MRSXY = -3Y/X

Price of X = $6

Price of Y = $1

Individual's income = $240

a. Write down the equation for the individual’s budget constraint. Be specific.

b. Determine the optimal combination of good X and Y that the individual buys.

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Microeconomics: Cross price elasticity of demand-arc-elasticity formula
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