Let x1 be fresh vegetables and x2 be nutrition bars with associated prices p1 and p2 . I buy groceries not knowing if I will be home in the evenings during the next week. If I am home in the evenings U(x1 , x2)= x1^.8, x2 ^ .2 and if I have to work during the evenings U (x1, x2) = x1^.2 x2^.8. Each state of the world occurs with 50 % probability.

How much would I pay upfront to know for sure whether I will be home in the evenings next week before buying groceries?