(emergency airlift) the red cross wants to airlift supplies into a south american country which has
experienced an earthquake. four types of supplies each of which would be shipped in containers are being
considered. one container of a particular item weighs 120, 300, 250, and 500 pounds, respectively, for the four
items. if the airplane to be used has a weight capacity of 60,000 pounds and xj equals the number of container
shipped of item j:
(a) determine the equation which ensures that the plane will be loaded to its weight capacity.
(b) if it is decided to devote this plane to one supply item only, how many containers could be shipped of
each item?
(airlift revisited) in above exercise, each container of a supply item requires a specific volume of space.
suppose containers of the four items require 30, 60, 50, and 80 cubic feet respectively. if the volume capacity of
the plane is 15,000 cubic feet:
(a) determine the equation which ensures that the volume capacity of the plane is filled exactly.
(b) if it is decided to devote this plane to one supply item only, how many containers could be shipped of
each item if volume capacity is the only consideration?
(c) using the information from above exercise, what is the maximum number of containers which could be
shipped of each item if both weight and volume are considered? indicate in each case whether weight or
volume capacity is the constraining factor.