Consider a perfectly competitive market in good x1 consisting of 250 consumers with utility function: u(x1, x2) = sqrt x1 x2 Denote P1 to be the price for good x1 and suppose P2 = 1. Each consumer has income equal to 10. There are 100 firms producing good x1 according to the cost function c(x) = x^2 1 + 1 a) Derive the demand curve for good x1 for a consumer in the market b) Derive the market demand curve for good x1 c) Derive the individual firm's supply curve for good x1 d) Derive the market supply curve for good x1