A Health Lobby Group produced a guide to encourage healthy living among the local community. The group produced the guide in two formats: a short video and a printed book. The group needed to decide the number of each format to produce for sale to maximise profit. Let x represent the number of videos produced and y the number of printed books produced.

(a(i)) Write the inequalities which represent each of the following conditions:

(a(i)(a)) the total number of copies produced should not be more than 800,[1]

(a(i)(b)) the number of video copies to be at least 100,[1]

(a(i)(c)) the number of printed books to be at least 200.[1]

(a(ii)) Using a scale of 2 cm to represent 100 copies on both axes, draw the x and y axes for 0 ≤ x ≤ 800 and 0 ≤ y ≤ 800 respectively and shade the unwanted region to indicate clearly the region where the solution of the inequalities lie.[4]

(a(iii)) The profit on the sale of each video copy is K15.00 while profit on each printed book is K8.00. How many of each type were produced to make maximum profit?[2]

(b) Maphone manufacturing company paid a total dividend of K12 600 000.00 at the end of 2015 on 600 shares.

(b(i)) Calculate the dividend per share.[2]

(b(ii)) Magula owned 200 shares in the company, how much was paid out in dividends to her?[1]