A restaurant has seven tables and only serves patrons with reservations. If more customers with reservations show up than the number of available tables, the restaurant incurs a cost of $145 associated with customer ill will and lost future business. Each empty table costs the restaurant $100 in lost profits. Historical records related to no shows indicate the following. What is the expected value of perfect information?
No of no shows are 0, 1, 2, 3 and the respective probabilities are .2, .3, .4, .1