I am trying to figure out the answer to the following two questions with given context: 'In a scenario in which there exist multiple identical firms with a large supply of products available, each firm must decide how much to provide to the market. Each firm has the same cost function, given by C(q) = 10q and market demand is given by Q = 150 - P.
Entering the market entails a fixed cost F to be incurred by each firm in the entry stage. Suppose there is one period of Cournot competition after entry.'
'What number of firms maximizes total surplus if entry can be restricted or promoted through manipulation of F? Note that prices or quantities cannot be regulated; only F can be altered for the sake of maximizing welfare (defined as the sum of total profits and consumer surplus).'
'If both the price and number of firms could be regulated in order to maximize total welfare, what price and how many firms will be allowed to enter?'