REQUIRED Prepare the matrix formulation to solve the following problems:

(a)

40x+70y+ 7z-300=0 22x+35y+12z-525 = 0 y+ z- 30 = 0 in the form: Ax = c Cost Accounting

(b) The total cost C of purchases from a supplier of four commodities each with a different price:

in the form: q'p = c

(c) A matrix which shows the communication flow between four departments, A, B, C and D There is a two-way channel between A and B, A and C, Band D. C and D, but a one-way channel only from A to D

(d) A two-producer business makes chairs and table using wood and labour:

Each chair (X,)

table (X 2 )

REQUIRES Units Units of wood of labour 6

12 4

3 There are only 90 units of wood and 40 units of labour available during the next period Express the constraints in matrix form

(e) Following on from

(d) above, if variable materials cost $4 per unit and variable labour cost $5 per unit, state the unit variable cost vector ( V)

(f) Following on from

(d) and

(e) above, if the selling prices are $70 for each chair and $100 for each table, state the vector of contribution margins ICMA, PS, Part 1, Quantitatives Techniques, November 1978.