(i) (ii) Use this information to write a first order difference equation for price similar to the general first order difference equation Yt+1+ay+ = c Find the general and definite solution for the first order price differential equation derived in (i) above.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
Problem 8E
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(b) Assume a linear version of the (lagged) supply and (unlagged) demand functions and assume
that in each time period, the market price is always set at a level which clears the market. The
market model is given as
Qát = Qst
Qat = a + BP: (a,ß > 0)
Qst = -y + 8P.-1
(r,8 > 0)
Transcribed Image Text:(b) Assume a linear version of the (lagged) supply and (unlagged) demand functions and assume that in each time period, the market price is always set at a level which clears the market. The market model is given as Qát = Qst Qat = a + BP: (a,ß > 0) Qst = -y + 8P.-1 (r,8 > 0)
(i)
Use this information to write a first order difference equation for price similar to the
general first order difference equation
Ye+1 +ay, = c
Find the general and definite solution for the first order price differential equation
derived in (i) above.
(ii)
Transcribed Image Text:(i) Use this information to write a first order difference equation for price similar to the general first order difference equation Ye+1 +ay, = c Find the general and definite solution for the first order price differential equation derived in (i) above. (ii)
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