(with both prices in dollars).
(a) Currently, PM= $200 and PS= $300. What is the predicted demand for ‘Model It’
software? The price PShas been unchanged (at $300) during the last 6 months. Given
this information, write down the equation for ‘Model It’s’ demand curve (with QMas the
left-side variable). Also determine its inverse demand curve (with PMas the left-side
variable).
(b) An industry analyst comments that demand for ‘Model It’ is not very sensitive to
changes in the price of the statistical software package PS. (This package does perform
some of the same operations as ‘Model It,’ but not as quickly or conveniently.) Carefully
assess this contention. Do you agree or disagree?
(c) As is true for many information goods, the marginal cost of producing Model It is
negligible. However, the company incurred significant costs in developing the product
for market (estimated to be about $350,000). Given the estimated demand of part (a),
determine the optimal price and quantity for ‘Model It’.
(d) A marketing department analyst realizes that a potentially important determinant of
demand for ‘Model It’ software is the price of computer workstations. The analyst
reruns the regression model and now includes the price of workstations along with the
other variables. The new model differs from the original regression of part (a) in the
following ways: The adjusted R2increases from 0.65 to 0.78. The coefficient of
PMchanges from -8 to -10, while the coefficient of PSis essentially unchanged. The new
regression coefficient for PW(the workstation price) has a negative sign. Finally, all
three price coefficients are highly significant.
Is the new regression equation an improvement over the original? In the new
regression, QMis observed to be more sensitive to changes in PMthan in the original
regression. Explain why this might be the case?