Chapter 3, Problem 56RE

Transportation 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.

$\begin{array}{cccc}& \text{Plane}\text{Type}& & \\ \text{Units}\text{Carried}& \text{Passenger}& \text{Transport}& \text{Jumbo}\\ \text{First-class}\text{mail}& \text{100}& \text{100}& \text{100}\\ \text{Passengers}& \text{150}& \text{20}& \text{350}\\ \text{Air}\text{Freight}& \text{20}& \text{65}& \text{35}\end{array}$

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.

How should the schedule from part (a) be adjusted to accommodate $730$ more passengers?

What column of the inverse matrix used in part (a) can be used to answer part (b)?