Problem: Angelicus and Co. manufactures three different qualities of lock, Domestic, Commercial and Industrial. The company’s results for the year ended 31 March 2003 were as follows.
   
  | 
Domestic | 
Commercial | 
Industrial | 
Total | 
| Sales (units) | 
120000 | 
45000 | 
56250 | 
221 250 | 
  | 
  | 
  | 
  | 
  | 
  | 
$0 | 
$0 | 
$0 | 
$0 | 
| Sales (total value) | 
240 | 
180 | 
450 | 
870 | 
  | 
  | 
  | 
  | 
  | 
| Total costs | 
  | 
  | 
  | 
  | 
| Direct material | 
108 | 
66 | 
84 | 
258 | 
| Direct labour | 
60 | 
30 | 
150 | 
240 | 
| Variable overheads | 
24 | 
54 | 
120 | 
198 | 
| Fixed overheads | 
54 | 
33 | 
42 | 
129 | 
  | 
246 | 
183 | 
396 | 
825 | 
  | 
  | 
  | 
  | 
  | 
| Profit (loss) | 
6 | 
3 | 
54 | 
45 | 
Fixed overheads are absorbed on the basis of 50% of direct materials.
REQUIRED:
(a) For the year ended 31 March 2003 calculate, for each type of lock,
(I) the contribution per unit;                
(ii) the contribution as a percentage of sales.                
                
Give answers to a maximum of three decimal places. Show alt workings.                
                
(b) Calculate the break-even point for each type of lock in boh units and dollars                
                
(c ) Advise wheter Angelicus should cease production of domestic and commercial locks. Give your reasons.