Wiktionary
n. (context economics English) A cost incurred by a firm when it changes its prices.
Wikipedia
In economics, a menu cost is the cost to a firm resulting from changing its prices. The name stems from the cost of restaurants literally printing new menus, but economists use it to refer to the costs of changing nominal prices in general. In this broader definition, menu costs might include updating computer systems, re-tagging items, and hiring consultants to develop new pricing strategies as well as the literal costs of printing menus. More generally, the menu cost can be thought of as resulting from costs of information, decision and implementation resulting in bounded rationality. Because of this expense, firms sometimes do not always change their prices with every change in supply and demand, leading to nominal rigidity (also known as sticky prices).
Generally, the effect on the firm of small shifts in price (by changes in supply and/or demand, or else because of slight adjustments in monetary policy) are relatively minor compared to the costs of notifying the public of this new information. Therefore, the firm would rather exist in slight disequilbrium than incur the menu costs.