If the value of timber is the following increasing function of time: V = 2√t Expressed in units of Rs. 1000. Assuming a discount rate of r and also assuming zero upkeep cost during the period of timber growth, what is the optimal time to cut the timber for sale? Calculate optimal time for r = 5%

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.4: Fixed-cost Models
Problem 20P
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If the value of timber is the following increasing function of time:
V = 2√t
Expressed in units of Rs. 1000. Assuming a discount rate of r and also assuming zero
upkeep cost during the period of timber growth, what is the optimal time to cut the timber
for sale? Calculate optimal time for r = 5%

 

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