Please explain and show work! thank you!

4. Suppression of Inventions This question came from a certain famous economist: \"You are a monopolist of light bulbs, which now have a service life of 1,000 hours. Your R&D department discovers a way of doubling the service life, without any change in the cost of producing bulbs. If you, as a monopolist, fail to suppress the invention, what will be the price-quantity solution (assuming that consumers are fully informed about the improved quality) at the new equilibrium, ignoring transient states (e.g. consumers shifting from old bulbs to the new bulbs)? Will it pay to suppress the invention?\" [Hintz Consumers have a demand curve with quantity being hours of light]