the manager of a fishery determines that the days after 1000 fish of a particular species are released into a pond, the weight of an individual fish will be w(t) pound and the proportion of the fish still alive after t days will be p(t), where
w(t)=10/(1+15e^(-0.05t)) and p(t)=e^(-o.o1t)
a) The expected yield E(t) from harvesting after t days is the total weight of the fish that are still alive. Express E(t) in terms of w(t) and p(t).
b) For what value of t is the expected yield E(t) the largest? What is the maximum expected yield?

Question

the manager of a fishery determines that the days after 1000 fish of a particular species are released into a pond, the weight of an individual fish will be w(t) pound and the proportion of the fish still alive after t days will be p(t), where
w(t)=10/(1+15e^(-0.05t)) and p(t)=e^(-o.o1t)
a) The expected yield  E(t) from harvesting after t days is the total weight of the fish that are still alive. Express E(t) in terms of w(t) and p(t).
b) For what value of t is the expected yield E(t) the largest? What is the maximum expected yield?