(a) Suppose that after developing a vaccine, company X can apply for patent which will prevent other firms from manufacturing and selling this product. Effectively, company X becomes the monopolist producer of the vaccine it has developed. What price will it charge for a vaccine dose? How many doses of vaccine will it produce? Hint: the marginal revenue curve of a monopolist in this market is MR=10-20. How much profit will it make? Given these outcomes, does it have an incentive to develop this vaccine in the first place? Demonstrate your answer on a GRAPH, carefully labelling all relevant variables and concepts. Overall do you think the patent is a good way to incentivise the development of a vaccine? Can you think of any possible drawbacks of this arrangement