What are the values for the own-price

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Smith Corp. has the following demand function: Q+= a + bP + cM + dPr, where Q is the quantity demanded of the product Smith Corp. sell, P is the price of that product, M is income, and Pr is the price of the related product. 

where Q is the quantity demanded of the product Smith sells, P is the price of that product, M is income, and PRis the price of a related product.  The regression results are:

DEPENDENT VARIABLE:

Q

R-SQUARE

F-RATIO

P-VALUE ON F

OBSERVATIONS:

32

0.7984

36.14

0.0001

VARIABLE


PARAMETER

ESTIMATE

STANDARD

ERROR

T-RATIO

P-VALUE

INTERCEPT


846.30

76.70

11.03

0.0001

P


-8.60

2.60

-3.31

0.0026

M


0.0184

0.0048

3.83

0.0007

PR


-4.3075

1.230

-3.50

0.0016

Now assume that the income is $10,000, the price of the related good is $40, and Conlan chooses to set the price of its product at $30.

b. What is the estimated number of units sold given the data above?

c. What are the values for the own-price, income, and cross-price elasticities?

d. If P increases by 5%, what would happen (in percentage terms) to quantity demanded?

e. If M increases by 8%, what would happen (in percentage terms) to quantity demanded?

f. If PR decreases by 4%, what would happen (in percentage terms) to quantity demanded?

Reference no: EM131074781

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