QUESTION 1
A company manufactures three products each of which requires certain amounts of three raw
materials as well as labour. The matrix R summarizes the requirements per unit of each product
Raw material Labour Product
(1 2 3 6) A
(2 3 2 8) B
(4 2 5 4) C
Raw material requirements are stated in pound per unit and labour requirements in hours per
unit. The raw materials costs $2, $8 and $2.50 respectively. Labour costs are $8 per hour.
Assume 800, 2000, and 600 units of product A, B, C are to be produced.
Required
i. Perform matrix multiplication where compute total quantities of the four resources
required to produce the desired quantity of products A, B, and C.
ii. Using your answer from part a, perform a matrix multiplication which calculates the
combined total cost of production.