Practice section 4 of 4

To add to its existing inventory of shoes, a footwear company plans to manufacture 20 pairs of sports shoes with a budget of $980. The company manufactures three types of sports shoes: Walkers, Runners and Trainers, whose manufacturing costs per pair are $30, $40 and $50 respectively. Find the possible combinations of the number of pairs of each type of sports shoes that the company can manufacture. [4]

If the company plans to sell each pair of Walkers, Runners and Trainers at $80, $130 and $150 respectively, how many pairs of each type of sports shoes should the company manufacture in order to maximise profit? [2]