5. (10 Points) Suppose that demand for COVID vaccines is a function of price with D=300,000,000-100,000*P. Assume supply is perfectly elastic and the market price is $1600. This vaccine requires only one unit or dose per person. a) Assume nobody has insurance and everyone pays market price for the vaccine. How many units will he demanded? b) Now assume the vaccine is free, how many units will be demanded? If the population of the united states is 350 million, what share of the population will get a vaccine? c) Now assume the vaccine price drops from market price to just a 10% copay (assume 90% of the price is paid by the government). What is the gain in consumer surplus? d) What is the increase in spending by the government? e) What is the total deadweight loss? 1) This welfare calculation only included individual consumer and producer surplus due to the price individuals paid or received for the vaccine. Name one other factor a welfare calculation of vaccines should involve