You have already said that q is "units for a certain item". Did you mean to say thatpis in dollars?

The "revenue from one more unit when 8 units are sold" is R(9)- R(8).a) find the marginal revenue.

b)approximate the revenue from one more unit when 8 units are sold.

c)how might a manager use the information from part b?

As for this one, I figuared out that R'=50q^2+50/lnq+100

but I have no idea for part b and c

Because R'(8)= lim (R(8+h)- R(8))/h, we can approximate R'(8) by taking h= 1. R'(8) is approximately R(9)- R(8). What is R'(8)?