4. The yield, in bushels per acre, of a certain type of feed grain in the midwest can be represented as the outcome of the random variable Y defined by Y = 3X/oxk4SeU, 163 where Xl and Xk are the per acre units of labor and capital utilized in production, and U is a random variable with probability density function given by flu} = 2e-2u I{o,oo)(u}.

The price received for the feed grain is $4/bushel, labor price per unit is $10, and capital price per unit is $15.