Economics: Elasticity Theory – #264

Question: You are the owner of the Blue Widget Manufacturing Company of Blue Widget Falls, Idaho. You sell your widgets on two markets. The first market is a resale market where you sell your widgets to a packager who then sells widgets not under your brand name. You also sell the “Super Widget”. It slices. It dices. It makes you sexier. It is the perfect Christmas gift. Your only competitor in this market is the Red Widget Manufacturing Company of Red Widget Rapids, Ohio. Red Widget sells to the same packager as you do and sells the “Maxi Widget” which also slices, etc.

Your demand for your resale widgets is

Q=1500 + .005 x I if your price is $15 or less
0 if your price is greater than $15
where I is the average income of your customers

a) Calculate the income elasticity for this demand.

b) Based on this demand equation, forecast your demand for the next five years if income grows at 5% per year and is $10,000 this year.

c) Looking at this equation, what can you do to increase your demand? (Hint: Is there a variable in the demand equation that you can change on your own.)

d) Write down your revenue function. What is you marginal revenue in year one?


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