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In the US cotton market, each farm having the cost function c(q) = 0.5q2 + 10q + 162 where q is the quantity of cotton

In the US cotton market, each farm having the cost function c(q) = 0.5q2 + 10q + 162 where q is the quantity of cotton in tons produced by each farm. The market demand curve is given by Qd = 10,400 - 50p. Suppose the government gives each farm a subsidy of $8 per ton. Calculate the long-run market price assume the market is perfect competition

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