In a competitive industry consisting of 10,000 identical firms, the short‑run marginal supply for each firm is given by

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In a competitive industry consisting of 10,000 identical firms,
the short‑run marginal supply for each firm is given by P = 200 +
30Qi. The demand curve faced by the industry is given
as
P = 400 ‑ 0.002Q (20 points)
a. Find the industry supply and the total quantity supplied by
the industry (5 points)
b. Find the equilibrium price and
quantities each firm (5 points).
c. Find the producer and consumer surpluses at the equilibrium
price (10 points)
Hint: before calculating producer and consumer surplus it
may be useful to draw the market demand and the market supply
curves to check the intersection points