Optimal fee charge for VIP members under advertising and payment mixed business models of video sites

Considering a monopolistic online video site through set the optimal pricing charge for the VIP members to max the total income. Through solving model, we found optimal VIP membership fees have a strong positive correlation not only with the added services value which is provide to the VIP members but also the degree of bother imposed by the advertising. What's more, the profit of advertising and the cost of provide added service to users both need to be paid by VIP members, but the basic value accepted by customers has no relationship with the optimal price charge for VIP members.