1. An appliance cooperation operation device, comprising: a facility database configured to store an introduction cost of a power storage shared among a plurality of customers, and a rated life of the power storage; a facility deteriorating influence calculator configured to calculate deteriorating influence on the power storage by using at least one parameter selected from: a discharge rate of the power storage in a first period; depth of discharge at the end of the first period; and environmental temperature in the first period; a customer electric energy collector configured to collect, from each of the customers, data of electric energy consumption in the first period; and a customer's burden cost calculator configured to calculate a burden cost of each customer in the first period by multiplying: a first ratio being a ratio of the electric energy consumption of each customer to a total electric energy consumption of the customers; the introduction cost of the power storage; a second ratio being a ratio of the first period to the rated life; and the deteriorating influence.