QUESTION TWO
a) Msumari Kenya Limited specializes in manufacturing only 6-inch and 2-inch nails. The cost of manufacturing a batch which contains 1,000 pieces is different for each type of nail. The cost accountant, Mrs. Otieno found out that last week 26 batches of each type of nail were manufactured for which the company incurred a total of sh. 148,200. This week the company has so far manufactured 31 batches of 6-inch nails and 23 batches of 2-inch nails, for which it has incurred a total of sh 159,100. Mrs. Otieno, who is new in the company, wants to know the cost of producing each batch of each type of nails.
Required
(i) Assist Mrs. Otieno using matrix algebra. (5 marks)
(ii) How much would it cost Msumari Kenya limited to manufacture 102 batches of 2-inch nails and 67 batches of 6-inch nails? (2 marks)