The Guests at a football banquet consumed a total of 406 pounds of food. if no individual guest consumed more than 2.5 pounds of food, What is the minimum number of guests that could have attended the banquet?  Choose the correct choice from the following options.
A) 160  B) 161  C) 162  D) 163  E) 164

Rationale: "to minimize one quantity maximize other . 162 * 2.5 ( max possible amount of food a guest could consume ) = 405 pounds , so there must be more than 162 guests , next integer is 163 . answer : d ."
Answer: D