Soundex Company has received an order to supply 900 tables, 1,200 desks and 2,000 chairs. The management of Soundex Company has decided that 500 tables, 800 desks and 1,300 chairs could be supplied from their city centre branch and the balance of the order could be filled from their industrial area branch.
Production of each table requires 3 hours in the machining department, 5 hours in the assembly department and 4 hours in the finishing department. Production of a desk requires 4 hours in the machining department, 8 hours in the assembly department and 6 hours in the finishing department. Production of a chair requires 2 hours in the machining department, 3 hours in the assembly department and 5 hours in the finishing department.
The cost of an hour in the machining, assembly and finishing department is Sh.50, Sh.100 and Sh.150 respectively.
Required:
Using matrix algebra:
(i)
Calculate the total number of hours required at each branch.
(6 marks)
(ii) Calculate the total cost incurred at each branch and the total cost incurred by Soundex Company to supply the order.
(4 marks)

Answer rating: 100% (QA)

The detailed answer for the above question is provided below i Let x y and z be the number of hours ... View the full answer