A perfect competitive industry faces a demand curve represented by Q = 10,000 – 10P. Also suppose that an individual firm belonging to that industry faces a marginal cost function given by

MC (Q) = 4Q + 100

Here Q represents quantity of output produced and P is the price. What would be the equilibrium market price? How much does each firm produce in equilibrium? and also find how many firms would be there in the industry in the long run?

Alright, let's tackle this step by step.

### Equilibrium Market Price:
In a perfectly competitive market, the equilibrium occurs where the market demand equals the market supply. The market demand is represented by the equation Q = 10,000 - 10P. Meanwhile, in a perfectly competitive market, firms produce at the point where their marginal cost equals the market price.

First, let's equate the market demand and supply to find the equilibrium price:
Market Demand = Market Supply

\(Q = 10,000 - 10P\)  (Market Demand)
\(Q = Q_f\)  (Market Supply, where \(Q_f\) is __________ _________ __________ _________ ________ _______ ________ ____ ______ __________.
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