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Econ Problem Set Key

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1. The American Bagel Co. is considering opening a Bagel bakery and coffee shop near Campus. In an effort to predict the profitability of this venture, their in-house consulting team estimated that the daily demand for Bagels in the area to be the following

Q = -5P + 20Pp - 30Pc +5I

Where P = the price of bagels, Pp = the price of pastries (each), Pc = the price of coffee (per cup), and I = Income (average annual per capita, for local residents in thousands of dollars)

a. Comment on this estimated demand function. Are the parameters reasonable? Why or why not? (Restrict your commentary to the signs of the parameters) Reasonable Sign? (Y/N) Reason
P _______Y__________________________Downsloping Demand Curve (d.m.u.)

Pp ______Y_________________________Pastries and Bagels are Substitutes

Pc ______Y_________________________Coffee is a complement__________

I _______Y________________________Food consumed at a café s probably a normal good

b. Suppose that the price of pastries = $1, coffee costs $.50 per cup, and average per capita income in the fan area is $12,000. Calculate the inverse demand curve (e.g., express price as a function of quantity).

Demand: Q = -5P + 20(1)- 30(.5)+ 5(12) = -5P +65 Inverse demand _______P = 13 - Q/5______________________

c. What happens to the predicted number of bagels sold per day if the price of bagels is increased from $1.00 to $2.00? Is this a change in demand or a change in quantity demanded?

(Note: The appropriate was corrected via an email broadcast)

Quantity Changes from: 65-5(1)= 60 to 65 – 5(2) = 55

Change in Demand or Change in Quantity Demanded (Circle One)

d. Holding the price of bagels again at $1.00, what happens to the predicted number of bagels sold per day if the price of coffee increases from $.50 to $1.00 per cup. Is this a

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