Let (J be the (unknown) total number of cars that will be sold in a given year, and let a be the total number that will be produced. Each car that is sold results in a profit of $500, while each car...

Let (J be the (unknown) total number of cars that will be sold in a given year, and let a be the total number that will be produced. Each car that is sold results in a profit of $500, while each car that is not sold results in a loss of $1000. Assuming a linear utility, show that the regret loss for the problem (see Subsection 2.4.1) is a linear loss.