(a)[3]
Give three inequalities, using $x$ and/or $y$, that represent this information.
(b)[1]
A small car can take 4 people and a large car can take 6 people. On one day, no more than 60 people can be carried in total. Show that $2x + 3y \leq 30$.
(c)[6]
Use shading to remove the unwanted parts of the grid, then show and label the region $R$ that meets all four inequalities.
(d(i))[1]
Determine the number of small cars and the number of large cars required to carry exactly 60 people.
(d(ii))[2]
If the company has 7 cars, find the maximum number of people that can be carried.