Socially Optimal Forest Rotations with Non-timber values [2 points]

Now suppose that the forest that you are considering to plant provides a non-timber value of sequestering

carbon. Assume that the per-period value of carbon sequestration depends linearly on the volume of the

forest and is equal toa(t) =vt. The stream of discounted non-timber values fromt= 0tot=Tis thus