A carpenter can make at most 20 tables and at most 30 chairs per day. Each table requires 3 hours of labour and each chair 2 hours of labour. The maximum
total of hours of labour that the carpenter has at his disposal is 96.
a. Give three inequalities that express the conditions above.
b. Graph and shade the common region that satisfies these inequalities.
c. Find the maximum number of chairs and tables that he can make within the
time at his disposal.​