Question

An aircraft is to carry a load of relief food supplies from a depot which holds 2 kinds of food package. Each carton of food package A weighs 15 kilograms, 40 liters in volume and contains 250 ration units. Each carton of food package B weighs 25 kilograms, 20 liters in volume and contains 350 ration units. There are 80 cartons of food package A and 45 cartoons of food package in the depot. The plane can carry no more than 1 500kg and no more than 3 000 liters. If the relief center requires at least 6000 ration units, find the system of inequalities that describe the possible loads, and give one possible answer

Answer 1

a <= 80
b <= 45
15a+25b <= 1500
40a+20b <= 3000
250a+350b >= 6000

a = 25
b = 30

is one solution