6. A market consists of 10 identical consumers and 10 identical firms. Consumers have preferences U(q1,q2) = ,/q1q2. They all have income Y = 10. Since we will focus on the market for good 1, assume that p2 = 1. a. Write an expression for one consumer's utility maximization problem. b. Use whichever method you prefer to maximize utility and derive an expression for one consumer's demand for good 1: q1(p1). c. What are the market demand and inverse demand curves, Qd(p) and pd(Q)