2 . Consider a stand of trees that grows according to r V'=1&t (1-x) 1+ at where the constants a,r, K are positive. Find

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2 Consider A Stand Of Trees That Grows According To R V 1 T 1 X 1 At Where The Constants A R K Are Positive Find 1 (81.72 KiB) Viewed 22 times

2 . Consider a stand of trees that grows according to r V'=1&t (1-x) 1+ at where the constants a,r, K are positive. Find V(t) and show that lim V(t) = K. a. too b. Determine the effort E(t) that will yield T -ST max O<E(t)<Emar Jo Lo* e*"pE(0)7(e)dt + pe*"VT), е r V' = subject to V - EV, V(0) = Vo, 1+ at K where r = 0.2 yr-1, 8 0.1 yr-1, a = 0.01 yr-1, T 500 TCF, V = 10TCF. (1- K) = 70 yrs, K = 7 =