Suppose there is a monopolistically competitive market with n identical firms, such that each firm produces the same quantity, q. Further, the market is in the monopolistically competitive long-run equilibrium.

You are given the following:

Inverse market demand: P = 10-Q

Total market output: Q = n x q

Marginal revenue: MR = 10 - (n + 1) x q

Total cost: C(q) = 5+q

Marginal cost: MC = 2 x q

In long-run equilibrium, each firm earns zero economic profit. ,

In the long-run equilibrium the number of firms, n, is ,,,,,,,,,,, and each firm produces ..........unit(s) of output at an equilibrium price of $........... . (Read carefully. The number of firms must be an integer. Round output to three decimal places and round the price In long-run equilibrium, the number of firms, n, is to the nearest penny.)

Please solve and explain in details your solution. Thank you.