Question

1. A travel agent has to fly 1000 people and 35 000 kg of baggage from

Hong Kong to Shanghai. Two types of aircraft are available:
A which takes 100 people and 2000 kg of baggage, or B which takes
60 people and 3000 kg of baggage. He can use no more than 16
airraft altogether. Write down three inequalities which must be
satisfied if he uses r of A and y of B.

Answer 1

The number of aircraft is no more than 16, so

`r+y \leq 16`

Because if the number of people,

`100r+60y \geq 1000`

Because of the amount of baggage,

`200r+300y \geq 35000`