2. Suppose a railroad faces the demand curves for transporting coal and grain. The demand function for coal is Pc = 38 - Q , where Q. is the amount of coal moved when transport price for coal in P . The demand for grain is P. = 14 -0.250, , where Q, is the amount of grain shipped when the transport price for grain is P. . The marginal cost for moving either commodity is $10. a. Find price and quantity maximizing coal and grain b. Find profit-maximizing rates per mile for coal and grain transport