QUESTION 2 A motorbike dealer stocks two types of bike: automatic and 4-stroke and is trying to decide how many of each to order. He needs to order the bikes for delivery one month in advance. He knows he will sell at least 40 bikes altogether in a week, so he will not order less than this amount. His contract with his manufacturer says he must take at least 30 automatic ones, and he does not have space for more than 160 bikes in total. Find the feasible region graphically. [10 marks] If the dealer makes $150 profit on an automatic and $250 profit on a 4-stroke, what should he stock to maximise profit? (15 marks]