The Digital Star Company makes two different models of computer tablets, which are assembled on two different assembly lines. Line 1 can assemble 30 units of the Star model and 40 units of the Prostar model per hour, and Line 2 can assemble 150 units of the Star model and 40 units of the Prostar model per hour. The company needs to produce at least 270 units of the Star model and 200 units of the Prostar model to fill an order.
(a) Write the inequalities that describe the production constraints on the number of each type of tablet needed to fill the order.
(b) Graph the region determined by these constraint inequalities.