An airline company has three types of aircraft that carry three types of cargo. The payload of

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An airline company has three types of aircraft that carry three types of cargo. The payload of each type is summarized in the table below.

Plane Type Passenger Transport Jumbo Units Carried First-class mail Passengers Air freight 100 20 65 100 100 350 35 150

(a) Suppose that on a given day the airline must move 1100 units of first-class mail, 460 units of air freight, and 1930 passengers. How many aircraft of each type should be scheduled? Use inverse matrices.
(b) How should the schedule from part (a) be adjusted to accommodate 730 more passengers?
(c) What column of the inverse matrix used in part (a) can be used to answer part (b)?

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