8 A tailor makes x dresses and y shirts in one week. In one week • he makes at least 4 dresses • he makes no more than 7 shirts • he makes less than 14 dresses and shirts altogether 2 • the number of shirts he makes is more than of the number of dresses. 3 One of the inequalities that shows this information is x H 4. (a) Write down the other three inequalities in x and/or y. .............................. ............................... .............................. [3] (b) y 14 13 12 11 10 9 8 7 6 5 4 3 2 1 x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 On the grid, draw 4 straight lines and shade the unwanted regions to show these inequalities. Label the region R that satisfies the 4 inequalities. [6] © UCLES 2023 0580/41/M/J/23 17 (c) Use your diagram to find the smallest number of dresses and the smallest number of shirts the tailor makes in one week. ...................... dresses and ...................... shirts [1] (d) The profit the tailor makes on one dress is $10 and the profit on one shirt is $6. Use your diagram to find the largest profit the tailor can make in one week. $ ................................................ [2] © UCLES 2023 0580/41/M/J/23 [Turn over 18